Interactive Mathematics Site Info

About IntMath

IntMath aims to interest and educate people in the joys of mathematics. It does so by providing clear examples, relating things to the "real world" and providing interactive applets that allow the user to explore mathematical concepts.

IntMath started in 1997, and now attracts over 10,000 unique visitors per day, with over 1/2 million page views per month.

Thanks for all your positive feedback (see "Testimonials" at right). I'm glad Interactive Mathematics has been useful for you.

Author

I have taught mathematics in Australian secondary schools (grades 7 to 12), TAFE (Technical and Further Education), and at university level (at Griffith University and in Japan). I've also taught lots of other things, including music, English as a second language, computers and more recently, teachers.

I now run my own e-learning and mathematics training consultancy, Bourne2Learn.

Murray Bourne, Singapore, 2016.

Contact

I hesitate to put my email address here because the moron spreaders of spam are sure to abuse it.

Please use the Comments form to contact me.

I will answer you by email if I am sure you are a human! :-)

Terms of Use

You may only view and print one copy of the contents of Interactive Mathematics for your own personal, non-commercial use.

You may not copy, store, either in hardcopy or in an electronic retrieval system, transmit, transfer, perform, broadcast, publish, reproduce, create a derivative work from, display, distribute, sell, license, rent, lease or otherwise transfer any of the contents to any third person whether for direct commercial or monetary gain or otherwise, except for fair dealing in an academic institution.

This includes, but is not limited to, displaying the contents of Interactive Mathematics within your own frameset (giving the impression it is your own work).

You are encouraged to link to any page of the site from your site, but you may not copy and paste the contents into your own server. You also may not "hotlink" to my images (this means putting <img src="http://www.intmath.com/images/...">) This uses up my bandwidth and costs me more.

You do have permission to display the site in your classroom for teaching purposes.

Contact me (via the Comments form) if you wish to ask permission to use the contents in ways other than allowed for above.

Copyright Issues

Images used in this site are either

  • created by me (almost all of the formulas and graphs)
  • incorporated into the site believing them to be in the public domain (certain photographs and clip art)

If I have inadvertently infringed copyright or used a copyrighted image without permission, please inform me and I will rectify the oversight.

All other material, (including the math manipulatives) except where otherwise credited, is copyright © Murray Bourne, 1997-2016.

Feel free to link to Interactive Mathematics. You can use the following code.

<p style="text-align:center;"><a href="http://www.intmath.com/"> <img src="http://intmstat.com/images/intmathlogo.gif" alt="Interactive Mathematics logo"></a> <br><span style="font-size:10pt;"> <a href="http://www.intmath.com/">Interactive Mathematics</a></span></p>

So it will look like:

Interactive Mathematics logo
Interactive Mathematics

You can use this description:

Description

Interactive Mathematics uses various math applets to enhance mathematics lessons.

Topics range from grade 8 algebra to college-level Laplace Transformations.

Help keep IntMath going. Your donations are appreciated.

Please support IntMath!

Polls Archive

Most useful math?

It looks like calculus is the most useful type of math for many of IntMath's readers. It's unfortunate trigonometry is seen as least useful.

A poll during Jun 2014 asked readers:
What type of math is going to be most useful for you in the future?

Calculus
poll bar 27%

Algebra
poll bar 22%

Financial math
poll bar 21%

Statistics
poll bar 12%

Geometry
poll bar 11%

Trigonometry
poll bar 7%

Total votes: 2400

To improve learning, teachers should...

There is some good advice to follow here, especially for math teachers. Obviously, there are not many friendly math classes out there!

A poll during Apr 2014 asked readers:
What's the main thing teachers should do so you learn better?

Create a warm and friendly classroom
poll bar 26%

Be enthusiastic
poll bar 24%

Be flexible
poll bar 21%

Love learning
poll bar 11%

Respect students more
poll bar 11%

Set high expectations
poll bar 8%

Total votes: 2000

How to improve school?

Studies show one of the biggest impacts on student learning is the quality of the teaching. This poll is consistent with that finding.

A poll during Jan 2014 asked readers:
What would have the biggest positive impact on your enjoyment of school?

Better teachers
poll bar 44%

Learn more about real life issues
poll bar 34%

Reduce bullying
poll bar 11%

More technology
poll bar 11%

Total votes: 1200

Feelings about school

It’s sad that school does not always produce positive feelings. At least the majority of respondents said they like it, or are neutral.

A poll during Oct 2013 asked readers:
Generally, how do you feel about school?

I hate it and can’t wait to finish
poll bar 28%

I really love school
poll bar 26%

It’s OK
poll bar 22%

I enjoy it
poll bar 18%

I don’t like it
poll bar 6%

Total votes: 3100

Summer holidays

The most interesting thing about this result is the 17% who regard summer holidays as "too long".

A poll during Sep 2013 asked readers:
I feel summer holidays are:

Not long enough
poll bar 63%

About the right length
poll bar 20%

Too long
poll bar 17%

Total votes: 1800

Math activity mode

It seems worksheets are a very common way to deliver math questions. I encourage math teachers to explore better ways!

A poll during May 2013 asked readers:
In math class, which is the most common delivery method for the math questions you need to do?

Worksheets
poll bar 34%

Text book
poll bar 29%

On the board
poll bar 20%

Online
poll bar 15%

Other
poll bar 2%

Total votes: 1300

Background to math topics

It’s obviously important for the majority of students that they find out where the math comes from and why it was developed. This helps find meaning in what we learn.

A poll during Mar 2013 asked readers:
For me, it’s important to know the background (history) of the math topics I learn.

Very important
poll bar 47%

Not important
poll bar 27%

Important
poll bar 25%

Total votes: 1800

Math homework per week

Over 1/5 of respondents do one hour or less of math homework. For most math courses, this is inadequate.

A poll during Jan 2013 asked readers:
The amount of math homework I do per week during semester is:

More than 6 hours
poll bar 36%

Between 2 and 4 hours
poll bar 16%

Between 1 and 2 hours
poll bar 14%

Between 4 and 6 hours
poll bar 12%

Less than 1 hour
poll bar 12%

None
poll bar 9%

Total votes: 2900

Gadgets and math

It seems like tablets are not yet widely used for math education. I guess that will change over the next few years.

A poll during Oct 2012 asked readers:
I mostly learn math using:

Laptop
poll bar 25%

No device
poll bar 24%

Computer (desktop)
poll bar 20%

Calculator
poll bar 15%

Mobile phone
poll bar 12%

Tablet (iPad etc)
poll bar 4%

Total votes: 3900

Music while doing math?

This poll result weakens the stereotype that students love a lot of noise when doing homework.

A poll during Jul 2012 asked readers:
When studying math, I like to listen to:

No music
poll bar 39%

Easy listening
poll bar 19%

Classical music
poll bar 18%

Loud music
poll bar 14%

Rap
poll bar 10%

Total votes: 1800

Math software

I asked the same question in Nov 2007 and the result was almost identical. We should be teaching math students how to use math software! We also should be changing what math we teach.

A poll during Jun 2012 asked readers:
Do you use math software (like Geogebra, Matlab, Scientific Notebook, Mathematica, Wolfram|Alpha)?

I have never used math software
poll bar 56%

My teacher and I both use it
poll bar 22%

I do but my teacher does not
poll bar 14%

My teacher does but I don’t
poll bar 9%

Total votes: 2000

Is Math Useful?

It was gratifying to see more than half of those responding felt math is "very useful" for their future job.

A poll during Apr 2012 asked readers:
The math you are studying now - how useful is it for your future job?

Very useful
poll bar 55%

Not useful
poll bar 19%

Somewhat useful
poll bar 14%

Don’t know yet
poll bar 13%

Total votes: 3400

Feelings about Math

It’s sad that 1/4 of the respondents answered with a negative view about math. Hopefully IntMath has helped them to like it some more!

A poll during Feb 2012 asked readers:
The best way to describe how I feel about math is:

I enjoy math
poll bar 41%

It’s OK but I find it hard
poll bar 30%

I hate math
poll bar 24%

No strong opinion
poll bar 4%

Total votes: 3600

Study math in a group?

The recent IntMath Poll asked readers if they usually study for math tests alone or with friends. In Asia it is very common to see students in groups frantically helping each other as tests draw near. But overall, most of you prefer to study alone.

A poll during Jan 2012 asked readers:
I mostly study for math tests:

Alone
poll bar 82%

With a group of friends
poll bar 9%

With one friend
poll bar 9%

Total votes: 2600

Calculators in math class

The "no calculator" choice could be for 3 reasons - either most students don’t have a calculator, or maybe the math teacher doesn’t approve of calculators, or finally, students use computers instead.

A poll during Dec 2011 asked readers:
Which calculator do you use during math lessons?

TI-83, 84 or 89
poll bar 39%

Casio FX
poll bar 35%

No calculator
poll bar 11%

Other calculator
poll bar 9%

TI-NSpire
poll bar 6%

Total votes: 4000

Favorite Math Activities

This poll asked readers about their favorite math activities. It is surprising (to me) how many chose "algebra". Really?

A poll during Oct 2011 asked readers:
What is your favorite math activity?

Doing algebra
poll bar 38%

None of these
poll bar 25%

Calculator
poll bar 16%

Doing geometry
poll bar 11%

Drawing graphs
poll bar 10%

Total votes: 2700

Friends on Facebook?

This is a relevant question after some US states introduced a new law that prevented teachers communicating with their students through Facebook (or similar), with one Missouri judge blocking the law in August 2011. It’s interesting that less than half of those who responded have a "Friend" status with their teachers, and 21% don’t even use Facebook.

A poll during Sep 2011 asked readers:
Do you "friend" your teachers on Facebook?

None
poll bar 37%

One or two
poll bar 26%

NA - I don’t use Facebook
poll bar 21%

Several teachers
poll bar 17%

Total votes: 1600

Classroom Computers

The answer "none" is surprisingly high.

A poll during Aug 2011 asked readers:
How many computers are used in your math classroom?

None
poll bar 62%

Most students use one.
poll bar 20%

One
poll bar 12%

Two
poll bar 6%

Total votes: 2300

Favorite subject in school

It’s probably not surprising that "math" is the most popular subject for visitors to a math site! "Geography" took quite a hit - I wonder if that’s because it is not offered in many schools?

A poll during Jun 2011 asked readers:
Which subject do you like most?

Math
poll bar 45%

Science
poll bar 20%

English
poll bar 12%

Music
poll bar 10%

History
poll bar 10%

Geography
poll bar 4%

Total votes: 2400

What stresses you?

This poll was conducted as students were doing exams before the summer break, so it’s not surprising "exams" was the most stressful activity. Take heart, teachers - you are not the Number One stressor!

A poll during Jun 2011 asked readers:
Which of these stresses you the most?

Doing exams
poll bar 41%

Homework
poll bar 24%

Relationships
poll bar 18%

Being bullied
poll bar 9%

Teachers
poll bar 7%

Total votes: 3600

Summer activities

While playing games was popular with most readers, studying and exercising also rated well.

A poll during Jun 2010 asked readers:
What are you looking forward to most this summer?

Playing games
poll bar 26%

Reading, studying
poll bar 25%

Exercising, sports
poll bar 22%

Watching movies
poll bar 14%

Summer school
poll bar 13%

Total votes: 1400

What’s the best time to study Math?

This result is not a big surprise. We all know it is difficult to concentrate after lunch - especially if it’s math!

A poll during May 2010 asked readers:
What time of the day do you find most effective for math study?

Morning (6AM to noon)
poll bar 36%

Evening (6PM to 10PM)
poll bar 24%

Night (10PM to 1AM)
poll bar 21%

Afternoon (noon to 6PM)
poll bar 19%

Total votes: 2000

Why are you here?

The poll in Apr-May 2010 revealed the following about why visitors come to Interactive Mathematics. Of course, there will be overlapping answers (we may need to "do research" in the process of "doing homework questions").

A poll during May 2010 asked readers:
Why did you visit IntMath today?

Studying for an exam
poll bar 41%

Doing homework questions
poll bar 27%

General interest
poll bar 17%

Doing research
poll bar 15%

Total votes: 2200

Who are you?

It’s interesting that 16% of visitors are there not because they have to be, but because they are interested in math for its own sake.

A poll during Apr 2010 asked readers:
I visited this site because...

I’m a math student.
poll bar 74%

I’m a math instructor.
poll bar 11%

I’m just looking.
poll bar 9%

I’m retired and I want to keep learning.
poll bar 6%

Total votes: 2800

Math Applications

Apparently 70% of math students rarely find out why they study mathematics. We need to convince them it’s worth studying, by telling them why!

A poll during Mar 2010 asked readers:
I get a good understanding of how math is applied to real world problems:

In most lessons
poll bar 31%

In some lessons
poll bar 29%

Rarely
poll bar 24%

Never
poll bar 17%

Total votes: 2200

Graphs

There a many free graphing programs available, yet this poll shows most students still use paper to draw their graphs.

A poll during Feb 2010 asked readers:
Most of the time I draw graphs on:

Paper
poll bar 66%

Graphics calculator
poll bar 19%

Computer software
poll bar 15%

Total votes: 1900

History

It's good the majority of readers like history (or find it “OK”). If you have an understanding of the story behind the math you are studying, it helps you to understand it (and apply it).

A poll during Nov 2009 asked readers:
My feelings about learning history are:

It's OK
poll bar 46%

It's my favorite subject
poll bar 26%

I hate it
poll bar 23%

I've never studied it
poll bar 5%

Total votes: 2300

Weekend math study

This poll was a bit of a surprise. The traffic to IntMath drops off considerably on the weekends, so it is interesting that the highest proportion was "4 or more hours" while "None" was next.

A poll during Oct 2009 asked readers:
During weekends, how many hours do you spend doing math homework (or study)?

4 or more hours
poll bar 32%

None
poll bar 22%

1 hour
poll bar 20%

2 hours
poll bar 17%

3 hours
poll bar 10%

Total votes: 2100

Using phones in math class

Most of us have trouble with attention deficit. Mobile phones can be a big distraction.

A poll during Oct 2009 asked readers:
How often do you use your mobile phone during math class (SMS or voice)?

Never
poll bar 62%

Two or 3 times per lesson
poll bar 20%

About once per lesson
poll bar 10%

About once per week
poll bar 9%

Total votes: 1800

Summer Reading

Good reading skills are vital for effective learning - including learning math. Any kind of reading helps. For the 22% of you who didn’t read at all, it’s never too late to start!

A poll during Aug 2009 asked readers:
This summer, I expect to read about:

One book per month
poll bar 32%

One book per week
poll bar 32%

No books
poll bar 22%

One book per day
poll bar 14%

Total votes: 1300

Helpful Math Teachers

Math teachers, take note! Students need a lot of examples to help them understand math. I was a bit surprised that diagrams and rapport were rated so low.

A poll during Jun 2009 asked readers:
It’s best for me if my math teacher uses:

Plenty of examples
poll bar 53%

Good explanations of theory
poll bar 30%

Plenty of diagrams
poll bar 9%

Good rapport with the class
poll bar 8%

Total votes: 1500

Calculators

It is well known that a good sense of number helps when trying to do algebra. Still, 22% of users say they use their calculator for everything.

A poll during May 2009 asked readers:
Which best describes you?

I use my calculator but not for everything
poll bar 57%

I must use calculator - I cannot do anything in my head
poll bar 22%

I rarely use calculator
poll bar 21%

Total votes: 1800

Fears

Most (normal) people regard spiders, heights and crowded places as their top fears. But readers of Interactive Mathematics regard "math tests" as their biggest concern.

A poll during Apr 2009 asked readers:
Which of these do you fear most?

Math tests
poll bar 36%

Spiders
poll bar 27%

Heights
poll bar 24%

Crowded places
poll bar 13%

Total votes: 1300

Math Exam Preparation

The number of students who study till very late and those who go to be early was very similar. A surprisingly high number don't do any study the night before and very few like to get up with the birds.

A poll during Mar 2009 asked readers:
What do you do on the night before a math exam?

Study till very late
poll bar 33%

Study then go to bed early
poll bar 32%

Don't do any study
poll bar 22%

Go to bed and get up early to study
poll bar 13%

Total votes: 1500

Math Formula Sheets

I asked this question because in a previous poll many students said that math is difficult because they find learning math formulas a chore.

A poll during Feb 2009 asked readers:
Are you allowed to use formula sheets in exams?

Some exams only
poll bar 36%

Never
poll bar 32%

Always
poll bar 31%

Total votes: 1500

Why is math hard?

Remembering formulas and understanding formulas were chosen as the main reasons.

A poll during Jan 2009 asked readers:
What aspect of math do you find the most difficult?

Remembering the formulas
poll bar 31%

Understanding the formulas
poll bar 30%

Understanding word problems
poll bar 24%

Drawing graphs
poll bar 9%

Notation (signs and Greek symbols)
poll bar 7%

Total votes: 1700

Why do you have Math Anxiety?

The clear winner was that respondents felt "math is too hard".

A poll during Dec 2008 asked readers:
Where does your math anxiety come from?

Math is too hard
poll bar 37%

I don't believe in myself
poll bar 24%

Math teachers
poll bar 22%

Math is not relevant
poll bar 11%

Other people don't believe I can do math
poll bar 7%

Total votes: 1800

Doing Math Problems on the Board

The results show that 61% of readers feel some stress when asked to do this.

A poll during Nov 2008 asked readers:
How do you feel when your math teacher asks you to go to the board to solve a problem in front of the whole class?

It's OK
poll bar 39%

I hate it
poll bar 32%

I'm uncomfortable
poll bar 29%

Total votes: 2000

How is Your Math Anxiety?

The results show that 80% of readers feel some math anxiety, either moderate or high.

A poll during Oct 2008 asked readers:
How do you feel about math right now?

High math anxiety
poll bar 52%

Moderate math anxiety
poll bar 28%

No math anxiety
poll bar 20%

Total votes: 2200

Inflation Effects?

This result shows what happens when the economy is based on un-sustainable practices.

A poll during Sep 2008 asked readers:
The following costs have risen a lot in the past year. Which one affects you the most?

Gasoline
poll bar 53%

Food
poll bar 28%

Electricity
poll bar 8%

Rent
poll bar 7%

Mobile phone
poll bar 4%

Total votes: 1000

Summer study?

It's probably not surprising that visitors to the site are actually doing summer school right now, and so that number was high.

A poll during Aug 2008 asked readers:
Do you intend to do any school-based study during the summer break?

I'm going to summer school
poll bar 43%

Maybe 1 week
poll bar 20%

None
poll bar 20%

Maybe 1 hour
poll bar 11%

Maybe 1 day
poll bar 7%

Total votes: 500

Testimonials

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Regards Nick (BA BEd MSc) [16 Apr 2016]

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Biswajit Basak, India: The Gradient of a Line page helps me to understand clearly about opposite sign slope. [19 Jul 2015]

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I am a Math major and am always looking for alternative/better explanations and I am so glad I found this. I don?t just want to be able to solve the problem, I want it to make sense to me intuitively and this did it for me. A lot of professors make it so complex and it almost seems hopelessly abstract. Thanks once again for this explanation. [16 Jun 2015]

Robert, United States: Thank you very much for this outstanding free math resource. My son has a disability and has missed so much school due to his health. So me and his mother decided to home school him in preparation for the GED. Your math site is the absolute best I have found. I'm a math wiz, but need the structure your site provides. Also the explanations and examples are superb. Thank you! [23 May 2015]

Gene Godinez, Philippines: I just want to express my gratitude for making this site available in the internet this is just so helpful! [17 May 2015]

Geneva Chapaman, OH, United States: Love your site. It's been a while since I taught algebra to my gifted elementary school students. Now that I'm retired I'm available to homeschool my 13-year old nephew and need to brush upon algebra. Thanks for the easy-to-understand instructions. [12 May 2015]

Richa: Awesome site to study... Really very helpful.. Loved it.. I will give it 5 stars... [10 May 2015]

Ben Cheung, Hong Kong: I am studying diploma engineering course in HK but I have limited maths knowledge, so I did try to find some reference information from the internet and try to strengthen my maths knowledge. And, I found your websites are very informative and useful.

I have told my classmate your website which is very informative, the way you explain some difficult maths concept is very clear and easy to understand !! [27 Apr 2015]

Santiago Blandon, United States: I am an electronics engineering student that has had "issues" understanding the math behind ODEs- Having come across this site has made things CLEAR!!!!! I have 4 of my books from school in front of me, and NONE OF THEM can make things as CLEAR as your website. TRULY grateful for you having taken the time to do this for everyone. AWESOME! :) [13 Apr 2015]

michelle chikomo: felt like crying last night when i attempted the integration by parts homework exercise given to us at uni, then i came across this website. THANK YOU SO MUCH. took 20 minutes for me to understand this whole section after going through these notes #HAPPYUNISTUDENT [09 Apr 2015]

Thaha Hussain, Bahrain: Your web site is excellent! [22 Mar 2015]

Hashim Hadi: I want to thank you for this useful and great website... its make mathematic very easy to learn...I want to suggest that if you add pdf files contains the luctures and lessons in your web site to let people to read them when they don't have internet... thank you very very much ..best wishes [15 Mar 2015]

Kamal, India: Tomorrow is my exm.. Nd d book ws out of stock everywhere...but this site really gave me a sigh of relief.. Nd dude this really works!!!! Thanks for developing such helpful sites.. Hats off to the admin.. Once again thanks alot.. [08 Mar 2015]

Ashan, United States: The examples of differentiating logs help so much! Thanks and keep up the good work! [08 Mar 2015]

Tahir Helvaci, Turkey: I enjoyed reading and (solving) all the materials put in the web page. Very successfully presented.

Keep up the good work.

Regards,
Tahir [17 Feb 2015]

Obbo, Uganda: Thanks for the content I've found on this site, it has been helpful to me. [11 Feb 2015]

Moon, United States: Partial differentiation - what is it about? is an excellent explanation. Really helpful. Searched so many books and sites but found this extremely helpful? [01 Feb 2015]

Frank Di Nunno, United States: I think what you are doing is fantastic. I started studying math about ten years ago. I try to do math every day. I love differential equations and their application. I have been doing differential equations for the last five years.

oh! I am eighty. frank [01 Feb 2015]

Abigail, United States: Thank you, thank you, thank you for this! I have searched on multiple websites and forums looking for real life applications of integrals and to no avail! This site will help me a lot with my bonus project in calculus. Know that you're appreciated. [24 Jan 2015]

James Jackson, Zambia: I just wanted to thank you for the time that you have been spending to send me emails full useful information. You have truly helped thank you. [13 Jan 2015]

Aditya, India: Great site here helping me alot :) [08 Jan 2015]

Paiz, United States: Im a student, and i really like ur site! Its easy to understand what ur showing. I hope u can make an offline content app of your site so people can access what they want to learn without internet connection.I'll totally pay for it. Other tht that good job! [30 Dec 2014]

Rachel Bell, United States: I am a high school math teacher and absolutely love what I have seen from this site. It's a great way to incorporate technology in my classroom and the students (even seniors) have a blast with the interactive components. [19 Dec 2014]

Hasira, Malaysia: Thank you so much ,now I can understand it clearly ,,,and also I can solve math question by only refer to your intmath ...I really appreciate it :) [08 Dec 2014]

Lee Jephson, United States: Your site is informative, clear, and I think everyone can benefit regardless of their level of skill. Math is a lot of times so conceptual it is hard to relate to what the problems are actually addressing. I think that is a huge problem, as well as teachers do not relate to real world problems. You do such a great job with all those things, and provide deeper understanding by providing the proofs, thank you so much for having a site like this. [05 Dec 2014]

Aloyce Ojwang, Kenya: Very interesting and easy to understand - thank you. [05 Dec 2014]

Mahesh Teli, Germany: Thanks a lot for the efforts and making Maths so interesting. [03 Nov 2014]

Lauren, United States: IntMath makes learning math make SENSE. Even better, it's simple outline helps me to de-frag past learning and wipe the slate clean so that I can actually PASS THIS CLASS! More important than any of that.. no more panic attacks every time I sit down to homework. [23 Sep 2014]

Andrew, United States: Thank you so much. Your examples and explanations have really helped me in my calculations. Most helpful and comprehensive explanation by far. [30 Jul 2014]

Shelly Rector, United States: You guys are awesome!! Thank you for this website and all the great additions to our curriculum you give me. It's exciting for the kids to see math in action! It makes the routine math problems more exciting knowing and seeing the applications more clearly. I appreciate you all!! [14 May 2014]

Syed, India: How I wish I had access to this website during my engineering college days. [13 Apr 2014]

abshir mohamud, Pakistan: sir i appreciate what you doing in intmath. let me narrate my relationship with intmath in the last 5 year.

in 2009,i wanted to study electronics engineering and enrolled in the program. my only handicap was math, fortunately i stumpled upon interactive math and started studying rigorously from the basic math to calculus

the nicely explained concepts made me from math dyslexic to math geek in just one year,after four years i finished my degree with fly colors but that wasn't the end,from time to time when ever i feel rusty in the math area i come to intmath to hone/resharpen my math skills. [17 Mar 2014]

Arijana Burazin, Croatia: I really like your site, for me the best Math web site I've ever seen. Interesting, with some real life examples, easy to understand. [18 Feb 2014]

Yilkal, Ethiopia: This is a very interesting and attractive explanation. I like it very mach. Thanks for this web site because it has very easy and understandable presentation. Again thanks!! [31 Jan 2014]

Charmaine, South Africa: I'd really like to thank you for your effort, I am writing my 1st exam in March and I was so frustrated, but you rescued me. May the Lord shower you with blessings. [29 Jan 2014]

Ann Teve, Canada: Brilliant site. I tutor university level students in mortgage finance, economics and basic statistical math. Getting back to first principles is frequently necessary (even for me, sometimes) and this is an excellent site for review and strengthening lapsed or forgotten skills necessary to understand higher level maths.

I will unquestionably recommend your site and refer statistics students to it. [17 Jan 2014]

Rachel Ryan, Ireland: I have never met you in person, but you need to know how much help your IntMath Newsletters were to me whilst I was studying. I returned to college as a mature student so needed every bit of assistance I could get, and found that through your newsletter and site. Thank you so much and best regards, Rachel [13 Jan 2014]

Bernie, United States: My son is home schooled and need some help with algebra. I came across your website searching for some additional help and want to thank you for this website, it's been a God send. [02 Jan 2014]

Suzie Welch, AL, United States of America: This is my #1 go to site for use in my classroom! I teach high school Pre-Calculus, Trigonometry and AP Calculus. Thanks for an awesome site that is informative, interesting and helpful for teachers and students! [28 Sep 2013]

Joe Kowalski, Cincinnati, OH, United States of America: LOVE THE WEBSITE! I'm busy re-learning differential equations (for fun) and your style and examples are fantastic! Thank you! [25 Aug 2013]

Zeeshan Rao, Sargodha, Pakistan: IntMath is realy awsome i love it. Very simple, easy to understand and intersting. Thankyou so much Sir. [22 Aug 2013]

Hilary, United States of America: I used your site when I was studying. Now I am a teacher and looking forward to using your site in my classroom. I especially like the interactives. Your site helped me pass the praxis with excellence. Thanks! [21 Aug 2013]

Srinivas, Bangalore, India: Easily understandable and excellent subject coverage. Thank you [30 Jun 2013]

Muhammad Wadood Ahmed, Houston, TX, United States of America: Your website is amazing for late bloomers. The best part of this website is the side information provided with math topics. [30 Jun 2013]

Andrew Seeney, Dublin, Ireland: Thank you for creating such a fantastic maths resource! You should be very proud of what you've done. I'm 37 and I'm learning maths again :) [18 Jun 2013]

Ricardo Correia, Lisbon, Portugal: Easy explanations for tough stuff. Probably the best teaching website I found over the Internet. Keep the good work :D

I'm currently taking a electrotechnical engineering course and sometimes I see a lot of difficulties from my teachers explaining some \"hard\" issues. In this website, those \"hard\" issues are explained in a very simple and intuitive way - that's how it should be in school! [25 May 2013]

Aptha, Bangalore, Karnataka, India: This is one of the best sources I have ever read for Mathematics. [12 May 2013]

Joshua Vicaro, Manila, Philippines: Sir you're GREAT you help me to understand what is this differencial calculus, many thanks :) [12 May 2013]

Yaseen Khan, Pakistan: Hi, this is a great website for every one who want to learn maths. great job! [18 Mar 2013]

Chris Davey, London, United Kingdom: Thank you for a fantastic site. IntMath has helped myself and other people with our studies. [28 Feb 2013]

Morad, Dhaka, Bangladesh: I just like to thank the concerned authority. I was having problems with math and now its ok. [27 Feb 2013]

Abayomi, Finland: This website really helped me out in better understanding of Laplace transform integral and integro-differential equations. God bless the brains behind this wonderful initiative. [20 Feb 2013]

Bilal A-Diab, Ottawa, Canada: This website was my savior in my time of need. Website is awesome, you are awesome! Thanks a lot. [15 Feb 2013]

Justin Chan, Hong Kong: I am so happy to have found your website; it's much clearer than the textbook, and I like how the explanation is so clear and concise:) [08 Feb 2013]

Alfredo Bustos-Ramirez, Sydney, Australia: Thank you very much. The lesson on Fourier Series was very easy to follow an understand. [10 Jan 2013]

Bob Derham, Guildford, United Kingdom: This site is great. I am in my 50's and maths has always been 'unfinished business'. Now I can read up and finally get closure. Thank you very much [19 Dec 2012]

Jenna, Twin Falls, Idaho, United States: I LOVE this website! Thank you so much! I'm currently trying to make my way through advanced engineering math and needed a review! This has been immensely helpful! :) [17 Dec 2012]

Safwan, Dubai, United Arab Emirates: Hi, I am really thankful for all the work that u put in, it is really helpful. I am now able to solve all questions.. :) [08 Dec 2012]

Chukwudike C-Madu, IA, United States: I am a freshman in college currently and majoring in Electrical Engineering. This website has really helped me understand my trig functions and identities. [26 Oct 2012]

John Salazar, CA, United States: Intmath is a great help in my studies...thank you soooo much! [19 Oct 2012]

Lateef, Agra, India: Mr Bourne you are really genius, you have made it easy for the average students to get the concept of calculus. Thanx. [14 Oct 2012]

Raji Shayya, United Arab Emirates: I am a mathematics teacher for grades 11 and 12 working in UAE. I wanted to thank you long time ago for the useful site you have and the efforts you are putting to make it a beneficial site for instructors and students.

I used the part related to conic sections in class, it was very efficient and students understood the conic sections as a cross sections of a double napped cone and have seen it clearly.

Thank you for this site, wishing you more success. [24 Aug 2012]

David DeMar, New York, United States: i recently discovered your Website and i love it! i am a 52 yr. old attorney involved in the self-study project of learning calculus I & II 'just for fun' using a variety of resources. i look forward to using the site to improve my integration by parts skills.

You may be interested to know that a single unkind, non-encouraging comment by my pre-calc. teacher at my high school ruined math (something i loved and was good at as a 17 yr. old) for me for decades. when i tell people about this part of my math sojourn i hear back similar stories-more frequently from women.- it's a tragedy that continues to repeat itself. all the best, keep up the great work. [20 Aug 2012]

Richard Goodwin, CT, United States: Thanks for a great learning resource, particularly for those of us who can't remember their college maths. [17 Aug 2012]

Vandana, India: Thanks is very small word to describe what good ur maths site does to me! [16 Aug 2012]

Omar, Dubai, United Arab Emirates: I just wanted to take this time to thank you for all your information, to tell you how helpful you have been and how I have tried the past year of my second year in BEng Civil Engineering to actually understand and grasp the concept of Laplace Transforms. Thank you for your great work. I am sure you have benefited many more students in need of a good simple way of understanding mathematics. Thanks again and keep up the good work. [13 Aug 2012]

Amanda Ling, Australia: I really appreciate that you've set up this site and that you've helped me a lot in understanding maths. [12 Aug 2012]

Larry Shapoff, CA, United States: Thank you very much for a wonderful collection of math lessons. I am using your calculus notes to help me learn calculus on my own. [11 Aug 2012]

Suriyanath, India: IntMath is the best site for students explaining about basic math which was not learned efficiently during school days. [25 Jul 2012]

Kay Wonderley, Australia: Thank you for such a great site. With this I have taught myself complex numbers and how to convert from rectangular to polar form. Also vector dot products and angle between vectors. [22 Jul 2012]

Tim Mallon: Hey Murry I just wanted to say thank you. Im a 57 year old dude who went back to school at 51 (I retired but wasnt dead yet) and found your site out of desperation. School is over but your site has continued to enrich my life, Thanks. Tim Mallon [20 Jul 2012]

Louise Buckley, Ireland: You've helped me hugely! Can't thank you enough for the lesson on graphs of trigonometry functions!! [21 Apr 2012]

Harpreet Kaur Tinni, India: thanks a lot your site is very useful it made my life i want 2 say thanks again for making maths so simple by merging it in the applications of science. [18 Apr 2012]

Shirish, Germany: The way that u make me understand the topics is just superb. I started learning from ur site with a tough topic, as I consider it, Integration and it was jus great thanxxxxx n keep going! [18 Apr 2012]

Ajith Kumar A, Chennai, India: This is a wonderful site for maths. Made and explained very well. It helped me a lot. And i am very thankful to Mr.Murray Bourne. [04 Apr 2012]

Andrew Mitin, Minneapolis, MN, United States: It's a great pleasure to read your site. I'm in precalculus and AP Physics B classes of an American high school, and these classes are structured to avoid exposing students to calculus. I thank you for creating a website that empowers me to get to know calculus as I introduce to myself related fields of study. [02 Apr 2012]

Neil Sheldon, United States: Great explanation of division of complex numbers. I've been to a couple of other places that made it sound like it was extremely difficult. There is a whole lot of technical stuff out there that could use the 'simple' approach. [24 Mar 2012]

Holly Tuten, PhD, United States: BRAVO! This site is of inestimable value to math learners worldwide! Great job! [10 Mar 2012]

Matt, Hong Kong: Your website is fantastic. I am a self-proclaimed (though a bit out of practice) math nut and father of a young son going through middle school algebra and your site is absolutely brilliant! This is a tremendous resource for anyone looking for intuitive ways to understand mathematics. Thank you for the effort, you should be applauded! [10 Mar 2012]

Robert Bywater, Oxford, United Kingdom: I want to thank you for the stream of good and interesting math messages you have sent over the years. Greatly appreciated!! And long may it continue!.

I suspect that your message about math is the same as mine, that I try to get young people to understand that \"there is no subject (you name it) that comes close to math when it come to providing 'ah-ha' experiences\". (The same mathematical structures turn up in so many different contexts).

Math can be perceived to be difficult but you, amongst others, like my countrymen Ian Stewart and Marcus du Sautoy, make a sterling effort in making it accessible.

Math is not more \"difficult\" than poetry, and in many ways is like poetry (in that it condenses ideas). [19 Feb 2012]

Mahesh, Bangalore, India: I am really thankful to this website. I have understood the fourier transform concept very easily on my own. More than all I was worried if you have put registration for sending feedback, which takes additional time. Thank you intmath... [03 Feb 2012]

George Thompson, United Kingdom: Hi, Just want to say what a great resource Intmath is, in-depth but easy to follow. Keep up the good work! Cheers, George [27 Jan 2012]

Jessica, Canada: Best site ever! Im in first year math and i was so confused since I never learned a lot of the review and its been months since I've done an math. Thank you so much for your help :) [23 Jan 2012]

Mark Southcombe, Spain: Thank you very much for your superb site. I did A level maths at school and I am starting to learn programming so needed to brush up on my maths. Your site is well laid out and thought out, displays well on smartphone as well as normal web browser. [20 Jan 2012]

Cody, Baton Rouge, United States: IntMath has been really helpful to me. [14 Jan 2012]

Prit Patel, PA, United States: Intmath had me reminded the beauty of perfectionism. The way you're downloading math into my brain, it is hard to open my eyes. Well done! [02 Jan 2012]

Mohamed Taher, Egypt: This website is just awesome. Every time I feel I need to sharpen my math skills again, I come here to find what I want. [24 Dec 2011]

Peter Konje, Zambia: These have been the most excellent notes on differentiation and integration I have managed to understand. Thanks a lot, I could not understand what my professor (lecturer) was saying but I have now managed to grasp the concepts quite well. [24 Dec 2011]

Matt, Leicester, United Kingdom: This is a brilliant site Murray, I'm a mathematician myself, yet still you've managed to bring back to memory things that i've forgotten! Excellent site. [02 Dec 2011]

James Xiao, Vancouver, Canada: This site really helped me out a lot. The descriptive and easy to read details, and great examples let me understand the concepts very well. Thanks so much! [25 Nov 2011]

Charles Eichab, Windhoek, Namibia: I am a math and stats undergraduate student from Namibia. I found IntmMth such a great resource. I like the clarity and the simplicity in which the material is set out. [24 Nov 2011]

Parth Mody, Mumbai, India: I would like to thank you for such a fantastic masterpiece you have built. [24 Nov 2011]

Rajesh Kumar, Bangalore, India: Dear Sir, Your site is really worth full for learners. It is really more than a game for science and math lovers. Congratulation for you and your site. Thank you^9999999999 sir!!!! [13 Nov 2011]

Jason Riches, Boston, MA, United States: This site has been a lifesaver for me in Calculus 1 for Engineers. You alone have taught me far more than my "prestigious" college professor has taught me all year. Your site is the best resource for math on the web, and you address all topics that other sites are afraid to address. The lessons are the perfect length and very easy to follow. I wish I could take my tuition money back from Northeastern and give it you! [09 Nov 2011]

Andre, Canada: Your site is awesome and I bookmarked it. Thanks a million for a great site! [07 Nov 2011]

Aron Jun, Germany: Intmath is the best... it is so student friendly... keep it up. [30 Oct 2011]

Arpan Sinha, India: IntMath is great! I am greatfull to have this site to learn & enjoy math. [16 Oct 2011]

Lanora: I love this site, it is the best. It doesn't just give you the answers but it also shows you how to get it. [08 Oct 2011]

Damilare Obebe, Nigeria: I love IntMath.com! I love mathematics. [02 Oct 2011]

Krishnakumar Bethanasamy, Chennai, India: The site is excellent. I am 47 now. Only now I get a firm grip of basics I missed out in my school and college days. [24 Sep 2011]

Shakira, Jamaica: Great site. Extremely helpful. It could replace a teacher. Such a well thought out maneuver on your part deserves commendation. [14 Sep 2011]

Hilary, Pennsylvania, United States: This is a great site. I am brushing up on math to get certified to teach and have not taken a math course since 1980. This is a big help. Your explanations are very clear and user friendly. I will emulate this when I teach! [31 Jul 2011]

Elshaday, Ethiopia: Wow! I have no words to express my feeling for the IntMath.com resource. The steps you follow, terms you use and techniques you apply are all smart and very understandable for any reader who has even a little knowledge about integration. Thank you very much for your effort and enjoy your moral satisfaction for ever! [31 Jul 2011]

Rushi, India: this website is very very very useful and informatics .....the way it explains all topics is awesome great ..... thank you very much sir ....and my request is to add some more flash animations .....thank you again :) [21 Jul 2011]

Aaron, Australia: This page is awesome. I have an exam next week and having examples i can practise on (and compare with your working to see where i went wrong) is FANTASTIC. Having the working is a major plus compared to my calculus book which only provides the answer and i can't see where i went wrong in the process. You sir! are a treasure to the human race, thank you so much :) aaron [25 Jun 2011]

Dennis Gott, United Kingdom: Brilliant. The music frequency pages are just what I was looking for! [19 Jun 2011]

Emily Blackman, United States: Thank you sooo much for your help in Calculus! I'm taking my exam tomorrow & I feel 100x more confident about passing! (and to think that all it took was a couple hours!) [12 Jun 2011]

Kaltham Alameery, United Arab Emirates: I don't know what to say. Really it is a wonderful site. I appreciate the efforts Dr.Murray. Thank you very much. [11 Jun 2011]

Alex Selby, United States: This is the best math website if not the best learning website that I have ever seen. This type of teaching could revolutionize teaching math, no doubt. [10 Jun 2011]

Boyd Miranzi, Ireland: Thanks for this website, it helped me so much to prepare for my first year final exams in building services. [24 May 2011]

Paramdeep Singh, Delhi, India: I just want to thank you all from the bottom of my heart for your help in calculus. Your work is benefiting many people around the world. Keep up the good work! [21 May 2011]

Mono Lisha: This is the best math site I have ever visited. I had little trouble in understanding certain concepts but this site helped me out. [13 May 2011]

Willy, Washington, United States: Hey, just wanted to say thanks a lot for the website. I was wondering when I would have to pay for the content, and I was surprised to find its free! It is very professional and nicely maintained. You are doing a great service by spreading this free math knowledge. [09 May 2011]

Steve, United States: Just wanted to tell you intmath is the best website I've come across, next to google. Thank you for everything. [22 Apr 2011]

Andrew Hunt, United States: I've been using your site for quite a while now, and very soon I will be going to a place with no internet for about a week. I was wondering if there was a pdf of the site I could download, so I could take it with me, as when I get back I have a calculus exam, and your site has become completely necessary to my survival in the class.

If not i will just copy and paste it into a word document and take that with me. Just wondering if you have some sort of pre-made document for on the go learning.

also, I should tell you how grateful I am for this site. You teach in a few webpages what authors of textbooks take thousands of pages to 'teach'.

sincerely, andrew [22 Apr 2011]

Rachid Hadjidj, Qatar: Your web site is wonderful. It is very simple to read, yet very comprehensive. Bravo! [08 Apr 2011]

Sandesh, India: Thank You for providing this great website. The concepts are very easy to understand and grasp. [26 Mar 2011]

Gloria Goitsemang, Botswana: thank you so much for posting this in the internet..its really awesome.. i dont have a text book.. so this is helping me so much as i practice on these questions you have posted.. May God be with you.. and May he increase your knowledge.. Thank u so much.. [26 Mar 2011]

Zedan Khan, India: Sir, you are just awsome. i never found a best site for CALCULUS than your website. with full understanding and approaches. [26 Mar 2011]

Peter Hilton, United Kingdom: Hi, I just want to say that this entire site is bloody brilliant! Thank you. [26 Mar 2011]

Doug Davis, United States: I am an electrical engineering student at the age of 39 and this site is VERY user friendly to me. Do you offer your trig and calculus sections in text for future reference? I know this information can be found in me text but that was written by a person who does not know how to teach big dummies like myself. Thank you, Doug. [25 Mar 2011]

Adam Yu, United States: Dear Professor Bourne,

I am currently a freshman planning to major in electrical engineer and I will like thank you for creating such a helpful, interactive and fun site. You were able to take hard subjects such as calculus and explain it in simple and interesting ways. The most helpful section for me was the algebra, trig and calculus 1 and Calc 2 subjects. I am sure that your good deed has help millions of people around the world to love and learn math. I will definitely recommend this site to my friends and classmates. Keep up the good work!!

Sincerely,
Adam Yu [20 Mar 2011]

Juan, United States: IntMath is simply Amazing! Thank you!!! [20 Mar 2011]

Mustafa, Denmark: I just want to thank you for your perfect help with matrix and solving these problems... very very clear teaching... [16 Mar 2011]

Kulthoum Abbas Ismail, United Arab Emirates: I really benefit from this site - it's interesting and beneficial!!!!^_^ Thank you very much. [24 Feb 2011]

Mohammad Issa, Lebanon: Intmath.com is AMAZING!!! I've told all my friends about it so they can check it out and see the beauties i see everyday!!! I'm really happy with it! THANK YOU [16 Feb 2011]

Elvis, United Kingdom: I just want to say it is a great job you are doing with IntMath.com - it helped me a lot with my homework and I thank you. Keep up the good work. [05 Feb 2011]

Sachin, Norway: Its really nice explanation of mathematical terms using graphs, examples and visualization software. Definitely I will recommend your site to my friends and colleagues to understand the mathematics terms.

Thank you very much! [05 Feb 2011]

Caleb Hill, United States: First off I d like to say I like your website. It is a great review of the basics for someone taking higher level courses in college. The examples are great. Thanks again for the great site! [02 Feb 2011]

Tom Alderson, United Kingdom: Brilliant, just brilliant, your explanations are crystal clear. Thank you so much. [02 Feb 2011]

Jim Aust, United States: This site is a Godsend as I am 48 now and reviewing some Algebra. Sure wish I had access to this site when I was younger.

Thank you! [02 Feb 2011]

Himanshu Patel, Australia: Thanks for this wonderful website. It really helped me a lot. [29 Jan 2011]

Zomicano, Kenya: Thank you so much! This is the best and easiest way to learn most if not all levels of mathematics.

I just used your website for the first time today and couldn't get off it for the last 6hrs. I have to sleep now simply because its 1:33am and people are usually required to sleep around this time!

By God, I hope I wake up in the morning and still find your website in existence! [18 Jan 2011]

Jay Bhavsar, United States: Thank you for the site, it's amazing! Is there a website like this for other subjects? [15 Jan 2011]

Ahmed, Pakistan: You have one of the best math sites i have ever seen. i am addicted to this site since 2008...i learnt many useful things in here and my addiction paid off, i scored A+ in my engineering courses and my friends call me a math geek. Thank you and i really appreciate your work sir. [13 Jan 2011]

Uday Khot, India: Awesome website for learning the math concepts effectively. [03 Jan 2011]

Rajesh Behera, New Delhi, India: IntMath is a fantastic site for clarifying maths fundamentals. [22 Dec 2010]

Worood, Kuwait: Thank u for this nice website :) it helped me in the sine and cosine graphs. [21 Dec 2010]

Alan, Australia: Best website ever. You are saving my life here, thank you so much, I LOVE INT MATH! [16 Nov 2010]

Salahuddin Pasha, Bangladesh: Really helpful website. Keep it up. :) [16 Nov 2010]

Peter Leftwich, San Diego, United States: REALLLY hugely enjoyed reading this page- Math of Beauty - and the tone of voice or style was superbly well written! You should be nominated for a kind of annual award in mathematics advancement / or teacher's recognition [15 Nov 2010]

Bethany, United States: I love IntMath.com it gives me all the answers that i need. [14 Nov 2010]

Orion, Canada: I just wanted to express my deep gratitude for the great minds who run this website. Thank you very much; you've helped me a lot. [06 Nov 2010]

Patti, United States: Thanks for this site. I am taking an online class for my graduate classes and since it's been nearly 30 years since Algebra being able to check my work and finding out I am doing it correctly is AWESOME. Thank you. [06 Nov 2010]

Kevin, Malaysia: Excellent website, great, challenging problems. Very helpful. [06 Nov 2010]

Jeremy Springston, Afghanistan: This site is absolutely amazing. I'm active duty Navy and have been in Afghanistan for a while now and, thanks in part to your site, teaching myself Calculus has become bearable. When I get stuck somewhere, I know your website will have the "key" to my problem. I made an A in my Pre-calc class, and am currently making an A in Calc I and, the best part, I fully understand what I've learned! Again, I'm deeply thankful for all your efforts and keep up the fantastic work. [31 Oct 2010]

Melissa Lester, Ontario, Canada: I was away from college for almost a week (sick) I found your website. It is so easy the way that it is outlined thank you so much. I am so glad I found IntMath.com. [25 Oct 2010]

Laila Utari Ratna, Bandung, Indonesia: Thank you for everything you've done to make us LOVE the math. I'm rather not confidence and stressful everytime I do my math homework or exam. but actually I'm an engineering student I have to deals with math everyday until the end of my life. thank you again for squarecirclez and intmath. you really do great job and make this world looks better for me..^_^ [22 Oct 2010]

Juan Porras, Windsor, Ontario, Canada: Thanks a lot for this awesome site! one of the only ones I’ve seen where you can actually understand what is going on, the flash examples are very clear, my #1 favourite math site.

thanks again and kind regards from Canada [21 Oct 2010]

Alex, CA, United States: Hello, your site is really great for learning math.

IntMath really is THE BEST complete math tutorial website I’ve found. It can allow people to learn math from 1,2,3,4 all the way to advanced calculus and explains each topic very well.

great work [09 Oct 2010]

Abhinav .c.k, India: You are really a great tutor. [06 Oct 2010]

Shaikh Moulaali, India: Nice work. Most useful for all ages, students or parents. [03 Oct 2010]

Jerry, Tucson, AZ, United States: Thank you!. Finally I understand dependent, independent and mutually exclusive events in probability. [02 Oct 2010]

Stacy W, United States: THANK YOU for such an amazing resource! This is the clearest presentation of basic calculus principles I have come across. I really wish I had this site available when I was an undergrad! [01 Oct 2010]

Eric Mittman, United States: I love this site. I mostly read the blog articles and enjoy the friday math movies. Most of the stuff I have seen here is accessible and seems well written. I will recommend it to my students for its tutorials and as a go-to site for enrichment. Thanks! [01 Oct 2010]

Kwame Adjei, Ghana: I like IntMath very much.I will be able to do my homework now. [17 Sep 2010]

Aaron Adjei, Ghana: In fact, I am in love with your tutorial. It was carefully and analytically designed for easy understanding. Thanks very much for your lecture. [13 Aug 2010]

IntMath fan, India: This is a wonderful website. I am a 12th science student. I have differentiation and integration topics in my syllabus. I am not a marks oriented student.

Whenever I asked my teachers that where do we use integration and differentiation? why do we study differentiation and integration? what is their use? No one could give me satisfactory answer.

Whenever I asked my teacher that why do we use this step and not that in the sum, the common answer I used to get was that answer of the sum comes through this method and I felt mathematics as a mugging up (learn without understanding) subject and lost all my interest from it.

But after visiting your website, I got all my answers. All the topics are explained in detail.

Thank you very much. [13 Aug 2010]

Ryan Roman, Nashville, TN, United States: Your website is very well done. It has helped me out of a bind more than once and today even helped me understand some things about Laplace Transforms. Your section on Differential Equations has made my online course bearable. I am sorry I cannot donate as I do not trust online transactions very much but you have my heartfelt thanks for maintaining this site for students like me. [03 Aug 2010]

Lee Townsend, Hartford, CT, United States: Your site is amazing. I will recommend it to all my students in the fall. Your site addresses all the needs of my students - precalc, calc, and DE. They are technology students and, as very concrete thinkers, they need to see every step every time. Thanks so much for your site. It's the site I have been hoping to find. [30 Jul 2010]

Audrey Blander, Canada: I am taking summer school for Advanced Functions and my teacher is HORRIBLE! This website saved me from getting a 0 on my quiz. Thank you thank you thank you so so so much and i will come back for more helpful hints [24 Jul 2010]

Dale Hawley, United Kingdom: Hi, I’m in the Navy (UK), and have found your site excellent. I did a degree in Electronics some time ago and found your explanation on Laplace and Fourier Transforms were the best I’d come across yet to help me get back up to scratch and remember. [24 Jul 2010]

Arthur McCammond, Rockford, IL, United States: I find your web site very helpful. The simplicity of your explanations helps make the understanding of the material much easier. I can understand your examples very well and they help make the material sink in. Please keep up the good work!!!! [24 Jul 2010]

Swe Jim Wong, Kuala Lumpur, Malaysia: This website is very useful for secondary students to understand the basics because there are worked examples provided. The explanations here also very easy to understand and direct to the point. [20 Jul 2010]

Sara G, Los Angeles, CA, United States: I would like to say that this is the best math website I have ever used to aid me with studying. Thank you. [18 Jul 2010]

Jaime, Philippines: Your lessons in addition, subtraction, multiplication and division of algebraic expression is really understandable... I said it because truthfully i can understand your lesson well than listening to my math instructor. I'm currently 1st year college and I'm really a slow learner in the field of math since high school and I'm glad i found your site,and i would like to ask tips on how to handle "heavy math problems" especially in COLLEGE ALGEBRA...thanks a lot again!! [18 Jul 2010]

Venkatraman, Sohar, Oman: Dear Gents: This website is designed better than a Mathematics Legend / professor. No doubt it saves our time during execution of some scientific calculations within a few seconds. It's great and I just wonder about the brains behind this site, and this service is being given 100% free. [11 Jul 2010]

Veronica Lodge, Coimbatore, Tamil Nadu , India: Your website is so awesome!!!

I'm so lucky to have found this site. It really helped me in fundamental and conceptual understanding of the various maths topics. Yours is the best math website on the net. Hats off to you!!! [11 Jul 2010]

Ravi Khemka, Mumbai, India: The site has been a godsend when i got stuck with integration. Thank you so much. [11 Jul 2010]

Fuseini Jaatoe, Ghana: The information on this website is fantastic. I have found a whole lot of information that has helped me update my knowledge of matrices. [06 Jul 2010]

Sam Daly, Navan, Ireland: Excellent site!!! Please don't let me go on-line one day to find this site has gone. I'm depending on this for the whole of my college life. Thanks! [27 Jun 2010]

J. Venkata Ramana, Secunderabad, India: O! Great Guruji! I bow to you. A very astonishing, surprising way of teaching Mathematics with ease. Your years of experience is shared by many in the world. You are re-defining the society this great way by parting your great skill of teaching mathematics. When one visits your site the content gets recorded in the mind. They cannot forget. This is a great job! You are helping the world towards Science.

My God! You are Great! Great!! Great!! Sir. [21 Jun 2010]

Nasif Alam, Lachine, Quebec, Canada: Amazing site. Man I owe you my life. It's so vivid u can just picture it in your head.

i learned calcalus in like 5 minutes from your site, you re amazing. You're site is infinite times better then the videos i watch in youtube. Excellent work! Thank you so much, youre an inspiration.

CALCULUS SEEMS SO EASY. SORRY FOR THE CAPS. :) [05 Jun 2010]

Richard, London, United Kingdom: Hi Murray,

Thanks so much for your Intmath website. It's really useful, it's really clear, easy to understand, well laid out, well explained, and it's in plain English. I use it all the time, it's great!

Richard (London, doing a BEng Civil Engineering at City University London) [14 May 2010]

Elisa, Singapore: I'd like to say a great thank you for saving my life! I'm suffering under trigonometry differentiation now and your website made it much clearer than my teacher (poor thing) ever did. Keep up the good work! [11 May 2010]

Gordon Earls, Dublin, Ireland: Very clever. Never seen algebra explained in such a simple and straightforward manner. Keep up the good work. [09 May 2010]

Tanja, Chur, Switzerland: I would like to say that this site is the best which I have found in the internet! Thank you for your help! [09 May 2010]

Solomon Tajfar, Kuala Lumpur, Malaysia: My nephew came to me with a trigonometry question. I did a web search only to get here. You have done a marvelous job. Thanks

Actually, I am planning to use your site to refresh my math. I just felt like doing this after I browsed through your pages. [01 May 2010]

Naba, Mumbai, India: Thank u very much for this section on Dot Product otherwise this was very difficult for me... [25 Apr 2010]

Anthony, Trinidad and Tobago: I am a student from the University of the West Indies, Trinidad and Tobago.

I didn't understand the way my lecturer taught differential equations, and spent many sleepless nights, reading and browsing youTube videos.

I believe that Interactive Mathematics has made it crystal clear, since it has a nice interface, easy to navigate, and the exercises gradually increase in difficulty.

Thanks a lot!!!!!! [25 Apr 2010]

Jasmin, Palm Coast, Florida, United States: I just used your web site for the first time today. It is great. Good job in putting math in clear and less complicated structure and easy to browse, i will use it again. thank you. [17 Apr 2010]

Fardin Ahmed, New Delhi , India: I am a FAN.I love this site so much that I like to spend more and more time here.

This site is awesome,I have no other words to describe it.

I never liked maths but after I started looking for options on internet I found mathguru.com and spent some time learning my basics I wasn't satisfied...then I found out intmath.com and I don't want to leave now...my search ends here.

I love the way you guys explain the basics and the tips and tricks for solving the problems is out of the world.

I am just wondering that if maths can be so easy why people try to make it so complicated.When I try and look inside the books I feel like pulling up my hair.

If anybody asks me what made me love maths the answer would simply be intmath.com.

Keep up the good work guys... Rock On... Thanx! [17 Apr 2010]

Hunter McMillan, Raleigh , North Carolina , United States: I am writing a paper for my calculus class, and mine in particular is about vector art. I was struggling because it has to be a math paper, and therefore must have at least one equation, and I was having a lot of trouble getting that kind of information - I knew the basics of how programs like Illustrator work, but I couldn't find anything explaining the math behind it. I finally found this site and subsequently the article on vector art and it helped a lot. Just wanted to say thanks. [17 Apr 2010]

KJ, United States: This site has been wonderful at helping me review for my precalc tests. My teacher doesn't always bridge the gaps between some units and this helps bridge said gaps on my own. Thanks! [02 Apr 2010]

Jegor , Estonia: IntMath is amazing! I went through the whole of your IntMath website. It's a masterpiece! Thank you a lot! [01 Apr 2010]

Mehrdad, Arak, Markazi , Iran: Thank you very much. Although i graduated from the u.k. a long time ago, it was a great pleasure to learn maths again and learn more from you. Thank you and wish you very success. [22 Mar 2010]

Zsuzsi, Denver, CO, United States: I just read the 3-D geometry page which discussed, "Earth geometry is a special case of spherical geometry. ..." It was an excellent, easy-to-understand article explaining latitude/longitude! Thanks for the time you put into it and this website. I will return here soon!

Again, thanks for all your efforts in helping even those of us who are not in school but want to continually keep on learning! Z [22 Mar 2010]

Hafsa, Abu Dhabi , United Arab Emirates : I love this site! Its so user-friendly and has everything I need. My interest in Maths has actually awakened, thanks to your site! [22 Mar 2010]

Barbara Hogan, Mountain Top, PA, United States: This is a fabulous site. [22 Mar 2010]

Shruti, Bangalore, India: It's been 7 months since i started my college in India, with Maths as a core subject. its really gr8 to learn from here, coz i learnt the distance formula the 1st time, which my professor couldn't teach for 10 months. thank you [17 Feb 2010]

Nolan, Lincoln, Nebraska, United States: Thanks alot for the help. You have no idea how much it does help. Keep up the good work! [17 Feb 2010]

Kevin, Federal Way, WA, United States: OMG! You guys saved me!!!! I have a calculus exam and my teacher doesn't know how to teach!!! BUT I STUMBLED UPON YOUR WEBSITE AND YOU GUYS ARE A LIFE SAVER!!!!!!! THANKS SO MUCH!!!! [17 Feb 2010]

Audra Odeh, Lawrence, Kansas, United States: This website is a fantastic resource, I’m in college and struggling with Calc 2, and this website is as good, if not better than a tutor...the examples are explained so well, and so easy to follow that so far, I have taught myself everything I’ve had trouble with. THANK YOU SO MUCH!! YOUR SAVING MY GRADE!!! [16 Feb 2010]

Jacob Grossbard, Sydney, Australia: Dear Mr. Bourne,

I can only add my vote of thanks for your excellent site. I came back to math and other sciences some years ago after decades of doing other things (life) when I took up astronomy. Loved math as a school student and always found it useful professionally and in all facets of life.

Your web site is an example of the generosity of many who give of their knowledge and time to better others. You are a great educator and the clarity and methodology of your explanations and examples are exceptional.

Again, thank you very much and good luck in your work.

Jacob G.

Michael Spiers, Greenville, South Carolina , United States: This site is great! Whenever I have trouble with an Algebra 2 problem I know where to come. The first time I searched this site, it was easy to use and extremely accurate. Thanks for making my school life easier...or at least at home!:) [14 Dec 2009]

David Arbuckle, Lake Worth , FA, United States: Thank you *so much* for creating and maintaining this site. It is by far the most informative and well-organized math teaching site I have ever found. [13 Dec 2009]

Manivannan, Chennai, India: I completed my graduation 10 years back. Even though I studied reasonably well in Engineering, I never gained the confidence in visualising what I studied, due to lack of knowledge in Mathematics. Afterwards, I completed Masters. Now I am planning to do Ph.D.

But I always had self-doubt in my ability. I started looking for the easy but powerful tutorial on the net. After getting into your site, I quit searching further, and I started gaining confidence by learning daily through your website. Yours is a good work to humanity.

Thanks, Manivannan [12 Dec 2009]

Nabeel S., Miami, Florida, United States: BEST WEBSITE for mathematics learning so far. [11 Dec 2009]

Keith Young, Barnsley, UK: Thanks for providing a brilliantly comprehensive site! It has refreshed my memory and rekindled my love of Mathematics, which had gone into hibernation of late!

Lyzette Luppnow, South Africa: About 3 months ago I was having serious difficulty with Mathematics.

I’m currently re-doing grade 12 through a correspondence programme and the aim is to get university exemption. Unfortunately the textbooks assume that you should just know how to apply principles without explanation. I did my grade 12 in 2000 through a technical college, only to find out that the certificate is not worth the paper it’s written on! You can imagine what a challenge it is to learn mathematics on my own without a teacher or other students’ input.

Thanks to your comprehensive site, I am understanding mathematics for the first time in my life :-) I’m afraid a BIG thank you simply doesn’t explain how grateful I am. I used IntMath extensively & even printed out some of the sections to use as notes. This site is better than all the math teachers that I ever had in school.

Yesterday I received the result for my Algebra assignment which was in the form of a 3.5 hour test. I scored 81% :-) It has boosted my confidence immensely. I'm even quite excited to do the next assignment! After Algebra I have 2 more sections that include Trigonometry, Euclidean Geometry, Analytical Geometry & Calculus. I have briefly browsed at the related sections on this site. Mathematics is no longer a scary monster :-) Thank goodness for intmath!

In May 2010 I write my final exams & I know I can tackle the math paper with confidence. Thank you VERY much!!

Dudley Grant, Wicklow, Ireland: Thank you so much. I’m a physicist and often in our books things are just left out. It usually says: “After some maths, you get this.” I know it is true, but I need to know. Your site provides the best information that I could find no where else. Thank you so much!

Vanessa, South Africa: Wow this website is awesome. My understanding of maths is made so clear here. Thank you.

Rodrigo Diaz, Mexico: This site is truly amazing, after years of struggling i am finally understanding math in a very clear way. Thanks! Sites like this (and people behind them) make the internet a better place. Cheers.

Mehmet Rasim Inceoglu, Darmstadt, Germany: Hi! i just wanted to thank you. It has been 14 years since i graduated from the high school and i had no serious need for higher maths. not even at the university. well i got a chinese major that is why i did not need maths but now i am up to studying software engineering and thanks to this web site and you i feel more confident in maths.

James Cartlin, Oregon, USA: Your website is head and shoulders above any other I’ve seen. It is not only very thorough, but put in such a way that is easy to grasp. I’m actually a mechanical engineer who will be teaching classes at a community college here in the u.s. so I will be refering to this site for ideas on how to relate math concepts and info to students and of course give them the link as well! Masterfully done!

Jackson Bates, Melbourne, Australia: I would die with out this maths site, don’t get rid of it, or i’m probably gonna die!

Shaun Tan, Kuala Lumpur, Malaysia: The site is great. My friend told me about this website probably over a year ago and I’ve used it since due to its convenient information. Thanks a lot!

Noemi Capistrano, Hayward, CA, USA: I LOVE this site. I am a 40-something college student-returnee and this site HELPS me a lot in my Calculus class. You were able to explain succinctly yet fully the difference between finding volumes/areas with respect to x and with respect to y. I totally get it now!

Suhela Ekanayake, Sri Lanka: This is the best mathematical web site I ever saw. Thank you very much. Keep it up.

Yosef H., New York, NY, USA: Dear Professor, I cannot thank you enough for this amazing site that you have taken your precious time to create. It is by far the most reliable and legible source of mathematical education that I have found on the internet. Once again, I thank you for your efforts to educate and I wish you the best of luck in continuing your amazing work.

Andre van Niekerk, Wellington, New Zealand: Eureka, I see the light! Thank you. I am 52 yo and have battled most of my life coming to grips with graphs, as in straight line, parabola etc. Without a shadow of a doubt you have explained something to me that no one else has been able to. Tremendous. Thanks again.

Leslie Maloff, Florida, USA: Thanks for making clear the arctangent and tan^-1. The material I was using seemed to assume knowledge. This site is very useful and I wish I’d found it earlier. I would recommend Interactive Mathematics to anyone who needs help in Math.

I was in fact refreshing my Trig and Calculus skills in order to take an exam . It’s been many years since I’ve used anything more than basic trigonomic functions as I have been teaching at the middle school level for a number of years. Happy to say I passed the exam. Again, your site is very useful. Thanks again for a wonderfully clear explanation of math.

Adelaida Quesada, Miami, Florida, USA: I just found your website while developing a college algebra online course. I was amazed by your explanations and tools. I have taken the liberty of listing your website as a resource for those students who need more clarification on some points. I am glad I did not find it sooner; I might have given up trying to explain everything through videos and power points!!! You site is simply awesome!!! I have forwarded your link to some of my colleagues, you have done a wonderful thing!

Sri, Bloomington, Alabama, USA: This site is really nice. The concepts and variety of problems is really superb.

Ezra Yap, Malaysia: I am very much liking your math website for providing useful lessons and explanation. You are the best lecturer. =)

Jason Chan, Sydney, Australia: Hi mate, Like to take the time to give you a big thank you for the time and effort into making this site. Its clear, concise and goes through the material in such a natural, well paced, progressive manner that I’ve effectively learnt laplace transforms in two days! This site and your efforts have basically helped me through engineering mathematics at UNSW!

I’ve passed the site onto some school mates and they’ve basically said the same thing. Thanks heaps!

Deepasenthil, Mumbai, India: Congrats team... I can just say one thing ...Excellent... You guys are makers of mathematicians...continue your good work. Thank you!

Mengis Teame, Manchester, UK: Dear Murray, First I would like to thank you for your outstanding interective maths site, I am an undergraduate maths student and this site is the best of all maths websites I’ve ever searched and I would like to see more of it.

Obviously as i am a university student it doesn’t have loads of topics that i am dealling with but ur website has influenced my future career and i am choosing to become a maths teacher for at least college level and i am sure the way you explain mathematical reason and logic couldn’t have been better. Keep up the good work.

Nadeem Zuhair, Pakistan: Thanks to all your team and i congratulate your team who doing all this for us. I really like this site and learn much more by you people.

Shoaib, Manchester, England: Hi, I am EEE 1st year student. I did foundation year 2 years ago. I was really struggling with revising things a lot especially when i have to look at both my UNI notes and my college books.

But then i found ur website. It’s really fantastic especially revising during exam days that helped me to grip concept fastly.

Irene Grossart, Glasgow, UK: Just found this site...it is so good I forgot to drink my coffee. I will be back!

Danny Von Masoch, WA, USA: Thank you soooooo much, thanks to this calculator I was able to finish my homework and underdstand it. I filled in my problem and I saw the step by step guide and followed it so that once I did it I could remember how to do it for the rest of my problems :)

Carlos Ruiz de Mendoza, Barcelona, Spain: Just wanted to say thank you so mucho for having this website. I am a 1st year telecommunications degree student, and I was starting to lose faith until I discovered this site. Finally I do understand all about Fourier Series.

Note Suwanchote, Seattle, WA, USA: I love your site, absolutely the best I’ve ever seen and it helps me a lot in understanding the concepts.

Vikas: Simply Superb!!!!! Great work!

Ramesh Babu, New Delhi, India: It’s exciting for me to see such a wonderful math learning site.

Ross, Bristol, UK: Thank you for creating this website, it contains the most concise collection of notes I’ve been able to find so far. Very thorough but they are presented in a manner that isn’t daunting, I’d call it "approachable math". Hehe. People deserve to know how useful your website is! Please keep up the good work, you’re helping so many people succeed, you should be very proud of yourself.Thank you so much.

Marg Shapiro, USA: I have found your web-site very interesting and useful. I plan to use it for my math lessons. Thank you!

James Aartsen, Adelaide, SA: I’m going to study particle physics at university and needed revision of high school maths. This is a fantastic resource, clearly explained and well thought through.

Anat Katz, NY, USA: Your website is the greatest thing! Playing with math and experiencing it is the way to learn it. I love your little introductions about applications before you start teaching the concepts and as a teacher I value your presentation and the graphs on the trig functions that show the period of a function are funtastic!

I use the Geometers Sketchpad a lot and I show a lot of these things in class, but it does not show the progress - the progress of generating this function is phenomenal! Thank you for having such a great tool out here!

Alejandro Teutli, Mexico City, Mexico: I am in tercero de preparatoria (10th grade). I just wanted to congratulate you for having one of the top mathematics sites on the Internet. It is especially clear and helpful.

Adam Daniels, Swansea, England: Great website! Helped me with my 1st year business statistics module in university. Thanks!

Alexander Politis, Athens, Greece: Mr. Bourne i would like to thank you for this amazing site which is totally useful for any high school and university student!! THANK YOU!!! Please, keep it up..for me you are one of the best teachers, with many kinds of really detailed and useful straight to the point examples!!!

Preet, New Hyde Park, NY, USA: Great job, Sir! Your hard work made maths easy for me and I gain more interest day by day. The crystal clea presentations made it very very easy to understand. Hats off to you!

Marcin Lutynski, Delft, The Netherlands: I just want to let you know that this website is absouletly fantastic!! I did a revision of my math in no time which helped me to solve problems in my research work. As a university teacher I can only say that you did a realy good job!

Heba Ahmed, Illinois, USA: I would just like to say that this website is fenomenal!!! I am a high school student and the day before my final i found myself blessing who ever created it... THANK YOU SO MUCH!

George Walters, South Carolina, USA: I have done all this over 40 years ago and I’m trying to revisit my physics. This is an excellent refresher for me. You’ve made it so easy.

Ebunoluwa Grace, Nigeria: IntMath Newsletter is informative, innovative and highly educational. It’s been great being a part of it. I want to use this medium to say "kudos" to the "brains" behind this work. They are really doing a great job and I would love it if I am constantly informed via my e-mail address or through any other media. Thank you and God blesss you all.

Terry Hines, Virginia, USA: Sir: I really like your IntMath Newsletter and the website. I wish you were around when I was in college. I did pretty well in school but I am sure I would have been an even better student with your material at hand; it’s very well written and easily understood. Again, thanks for what you have provided. It is the best math instruction on the Web.

Scott Biggs, Indiana, USA: Wonderful site. All of the concepts are presented with wonderful clarity. Thank you!

Joaquin, USA: Outstanding website, very usuful for an instructor or student’s parent. Wishing you a lot of success.

Amanda, New Jersey, USA: amazinngggg!!!!! i love it!

Richard, Canada: Wow, I just stumbled across this site and am speachless. I don’t normally feel the need to comment on things but I find this to be an extremely helpfull site and very well put together.

Tony Tanim, Bangladesh: It’s an excellent site for learning the basic rules of math.

Tunde Lawal, USA: I want to thank you for the best math site anywhere. I was brushing up on Probability and Calculus required to take Society of Actuaries exams. I am a baby boomer but still able to grasp the concepts easily. Amazing!

Alan Babbitt, USA: Absolutely outstanding site! I am going back to school after many years in the marketplace and as with many, I need to get back to center with respect to math concepts. The process you have laid out is very deductive and inductive. Consequently, I am finding this relearning process to actually be quite fun in preparation for my placement test. Thank you so much for all of the hard work you have put into this project.

Michelle, USA: What a wonderful site. I wish we had this type of access when I was in math class 25 years ago. Exceptional!

Santhosh, USA: You have created a great website for mathematics. You explain concepts in depth and in a simple manner. I am PhD student. Event though I do modeling and simulation work where I use lot of mathematics, I feel that I do not know the math basic well. When I was searching for the Fourier Analysis, google directed me to your website. I am glad I find your website.

I had been searching for the basic mathematics book. Your material makes great book. If you write a book, please inform me. It is hard to read on computer.

Daniel, Australia: I just wanted to say a huge thank you for the site you’ve created. It’s certainly more of a pleasure to read compared to the annoying mathematical jargon I have put up with in my high school maths textbook, which is usually too convoluted for me to understand.

Linda, USA: I want to keep my mind active and I am thankful for what I have already found on your site. Thanks so much for the inspiration to learn again.

Phillip, USA: I just have to say; thank you so much for making a mathematics website that just helps so much. Everything is very clear and very concise, and helps me with Algebra II. My teacher is rather unusual in my opinion, since her method of teaching is more like "lead by example" instead of showing the concept and then applying it to a problem.

I’m struggling with the class right now, and I need to relearn how to solve over complex numbers and basically go over factoring... but this website is amazing! With a test approaching soon and the semester final in less than a week, this is my saving grace. I’ll just pay moderate attention in class and just come here for my daily dose of math!

I’m struggling with the class right now, and I need to relearn how to solve over complex numbers and basically go over factoring... but this website is amazing! With a test approaching soon and the semester final in less than a week, this is my saving grace. I’ll just pay moderate attention in class and just come here for my daily dose of math!

Thanks again, and I hope you continue to help others like me!

Skylabel, Australia: What a fantastic site! Better than ANY maths textbook I‘ve ever read. Your method of explanation is comprehensive and accessible, backed up by loads of relevant examples. Especially like the Methods of Integration section. Keep up the good work!

Liban, UK: The site is the most useful maths site I have encountered. Your work is very inspiring and instructive. You help learners use acquired skills to meet mathematical challenges. Exemplary. I will spread the word about IntMath!

Kelly, USA: Your site is the best learning site ever!!

Ntoburi, UK: This site has saved the day! Am a PhD student with no mathematical background (actually did any maths 10 years ago) and sitting for 4 weeks in a statistical inference class was torture until i read through the simple self explanatory maths on this site! Keep it up! The examples are very good.

Wayne, USA: This site is the best thing that has happened in my life.

Haroon, Pakistan: I must commend you on developing and maintaining such an amazing and unique website. I am a Pakistani and did my engineering from Pakistan. I could never really clearly "see" mathematics, due to which my engineering suffered.

Thanks to your website, I got a good, clear overview which has not only enabled me to clarify a lot of things that have bugged me, but also allowed me to appreciate and enjoy my old calculus books that I have started going through again.

Lezann, UK: I stumbled across this site while trying to fathom out some economics equations. I have never seen maths so easily presented and accessible. It’s a joy to use and at last I have some understanding!

Ruth, Ghana: I like your site very much. I am offering Quantitative methods as a course this semester and i found some very useful information at your site. It is very simple and easy to understand and i commend you on that.

Kelly, USA: Your website is presently saving my butt. I earned my first college degree 5 years ago and am going back to school for a second degree. My new pursuit requires that I take a general physics course--after not having a math class in a decade, and after never having Trig at all.

I have been rather lost in class, as I didn’t even remember the rules of exponents, let alone know what the heck a cosine was. However, I am a smart cookie, graduated Summa Cum Laude the first time around, so I knew if I could find a good "tutor" I would catch onto the math. You, sir, are that tutor.

I am particularly appreciating your lesson on vectors.

I just wanted to say thank you for simple, straightforward, and SHORT crash courses.

Justin, USA: Just wanted to say THANK YOU. This site showed me a way that was easier to understand than the way my college prof. presents the concepts to me!!!!

Cristal, Trinidad: This site was GREAT! i was ABOUT to give up on learning differentiation, because all the other sites were SO hard, and i actualy get it now!!! i understand it :) thanx alot!!!

Sephie, UK: Congratulations on creating a beautiful site with a clarity of instruction rarely found elsewhere. Must say I agree with all the testimonials, and would like to add my own.

I’m on a smallish island off Europe home-educating my daughter. We’re pretty isolated here and have to rely on books and the internet to get her through maths (and this year, further maths AS and A2 exams).

As you’ll know, having knowledge about a subject doesn’t automatically make one a good teacher, so to find someone like you who is both gifted and willing to share what he knows on the net provides help for my daughter in a very tangible way.

As we’re poor as church mice it means a great deal, and we will be relying on your site to help my daughter through the next two years. It’s simply the best we’ve encountered in many years of searching.

She hopes to study maths at university. If she succeeds she will be able to escape the poverty trap she was born into.

So I just wanted to let you know that your generosity in creating such a unique site will actually help to change someone’s life.

I also hope that your considerable talents as a teacher are fully recognised in your present occupation.

Miles, New Zealand: Amazing, someone who gets it! Thank you very much, good sir. Your explanation is perfect, as I am a very visual learner... I was brushing up on my math, as I am returning to study next year. So, thank you very much for being a wonderful teacher!

Joshua, England: Just wanted to say your site is excellent. I’ve understood more about differential equations here than I did in an entire semester at university and I now feel like I stand a chance of passing the module and am motivated once more to work. Instead of bogging your explanations down with technical jargon you lay out a clear concise method with thorough answers to all exmamples on a clean and attractive site. Honestly can’t give you enough praise - thank you!

Zeep, USA: Thanks for this site. I was having a ton of trouble with Laplace transforms and it’s tremendously helpful to have examples with explanations. Now I can do my homework without a bottle of aspirin.

Catherine, Virginia, USA: My God... thank you so much. Quite honestly, spending 10 minutes looking at your site, I feel I understand more about algebra than I ever did in my High school math courses. When I took my SAT in 2004, I scored a 640 verbal and a 480 math... quite clearly unbalanced. I just never "got" it. I want to thank you... hopefully I at least won’t feel lost or completely hopeless when presented with a mathematical equation.

Amanda, Austin, TX, USA: Hi, I am a freshman at University of Texas-Austin and I just wanted to let you know that this site is AMAZING. You really broke trig down for me, and I have a final tomorrow, I feel so much more confident! Thank you so much! You have no idea how much you helped! :)

Margaret, Madison, USA: This is the only site that I’ve come across that can give a good understanding of Fourier series! Thank you very, very much. The graphs that show the sequential transformation of the graph of the stepped function is excellent.

Dion, Australia: This site is awesome. I should have stayed at home and learnt from this site rather than going to lectures. Thank you!

Oliver, New Zealand: I was battling for hours to try and teach myself how to do step functions from my textbook, with no success. After reading the explanation on here I learned how to do them within 15 minutes, thanks!

Laura, USA: I love your site... it is the best thing that I have found on the Web...it brings the problems and solutions alive and it gets me to shift my paradigm easily...thank you so much, you’re the best! I mean it!

Rechad, Mauritius: You’ve done a great job with the IntMath site. Congratulations and thanks on behalf of all those students, teachers, parents and others who love IntMath! (Btw, I am an IT teacher, but also a "math student" hoping to catch up on my math with your fantastic site. I also encourage my math colleagues to check your site.)

G. Connolly, UK: Working with computers I am keenly aware of the power of maths. I think I have learned more about algebra in a hour on this site than a whole year as a school kid. I cannot understate the importance of explaining EVERYTHING as you go along; it really helps to understand WHY something can be done rather than just accept it because someone tells you to. In short, well done and thanks. Keep up the good work!

Sue, Mashpee, MA, USA: Loving your site! I am using it to help me study for the Massachussetts Teacher’s licensure Math test. The study guide I bought is full of errors. Your website is not full of errors. You website has been helping me remember math from my college days 20 years ago! Incredible job you have done!

Given, Capetown, South Africa: Your website is really helping me. I wish I was one of your students! Continue with the good work that you’re doing. GOD BLESS YOU

Heather, North Carolina, USA: It’s encourging to use a resource that promotes understanding how you arrive at an answer as being as important as the answer itself.

William, UK: You have helped me enormously with calculus. Thank you intmath! This is possibly the most useful maths website I have come across.

Jade, USA: I haven’t had a math class in four years, since high school, and i am having to jump in head first into trig. After finding this site, i not only understand trig, but i am actually excited about going to class and taking my tests, just to see how much this site has actually helped improve my understanding of it! Thank you so much, this site is absolutely wonderful and I WILL tell others about it!

MERLOT, USA: This is a well-designed, mathematically accurate, technologically dependable demonstration/tutorial site that should be useful as a complement to traditional courses in college algebra, pre-calculus, and first-year calculus.

[See more reviews of Interactive Mathematics by MERLOT, which stands for the Multimedia Educational Resource for Learning and Online Teaching.]

Bafana, Johannesburg, South Africa: You have made me one of the best students in Mathematics, even now I’m able to help my friends. Keep it up!

Aaron, USA: Wow! This amazing site helped me more than any other math site on the web! I appreciate all your hard work in making this site! Thanks a million!

Edward, Singapore: thanks for this great site u have made.. i am a secondary a-maths student who’s taking o level this year, from ur explanation on this site i have not only learnt how to do qns but also started to understand. i hope this site will remain here for as long as possible to provide help for those intrested or weak in maths :)

Ricardo, USA: The IntMath web site is amazing!! It really puts the things I’m learning in class into perspective!

Liliana, Mexico: Wow, this site is wonderful, so professional, and the explanations are so clear, the applications of mathematical concepts to real life are so interesting for the students!! Thanks so much for creating such a great website!!

Dennis, Philippines: This is the best math website I have ever seen. Your site offers a lot of knowledge in mathematics. It serves as a compilation of topics from algebra to higher ones. Thanks for the creator/author of this site.

Michael, USA: I love the richness of the information and simplicity it’s presented in! This is exactly what I’ve been looking for. My teacher takes ages to cover a subject like Matrices...here I did it in a day...WOW.

Lawrence, Paris, France: This is an excellent site for learning and teaching mathematics. So far the best I have come across--and i have been searching a long time. I especially like the fact that you make it freely available even for students in developing countries. Keep up the good work, and God Bless You!

Shenton, Canada: Please don’t reduce the image sizes. I’ve just discovered your site and like it very much because everything is big and full of pictures. I choose your site to learn from instead of the other sites that I found on the internet because it easy to read and understand. Thanks for making math fun to learn.

Michael, Ireland: Your mathematics site is absolutely brilliant and so easy to navigate through your "sitemap". Hidden answers are excellent and LiveMath makes the site so dynamic also the aside information is super. It took a lot of effort to produce what you have achieved and I hope you have a good sponsor to compensate you for same so thanks very much for enjoyable maths.

Minty, USA: OMG thank you thank you thank you thank you thank you! I can t thank you enough. hehe! I was stuck on this problem for about 6 days and it was due tomorrow, and i was throwing approximately 5 fits, before i found this website. THANK YOU SOO0o MUCH! YOU JUST SAVED MY LIFE!!!! hehe! ^_^

Martin, UK: I am a student studying engineering in the UK, and have found your site very useful when it comes to my maths course.

Farhan, USA: Your site is very good and the material provided can be easily learnt.

April, USA: Thank you!!!!! thank you! thank you! thank you for a great site!!!!

Wariner, Cape Town, South Africa: Your site was the best resource I have yet come across for maths. The examples are comprehensive and well explained. I used your site mainly for LaPlace transforms. It really helped so much, I cannot even begin to describe.

Samuel, UK: This gives a much clearer and practical understanding of math

Sanjay, Fiji Islands: This is a very excellent website. I really like the material covered and also LiveMath examples. Wished this was available to me years ago. Congratulations on the sucess of putting it all in a nutshell. Thanks and good luck.

Anmol, UK: Congratulations on making a BRILLIANT site!! I appreciate your commitment very much. Detailed information is presented in a readable way.

Sandipan, India: Your site is great work. I do believe that it will help many people who are pursuing courses in distance learning mode. During my physics days (University of Calcutta) many things were not clear to me. It was due to lack of visualization of some mathematical results. Now I’ve got a clear picture after going through your site, 6 years later. Thanks for giving me some good brain food!

Dioscoro, USA: I find your site excellent! I am teaching math. Thanks a lot and more power.

Clarence, Belize (Central America): I am a student at the university of belize studying math education... i am happy to use your interactive mathematics... great website

Avinash, India: I was looking for examples and problems in Laplace Transformation. This site is amazing. It cleared all my doubts. All the problems have been explained in very good manner. I am indebted to you. The contents are presented much lucid way. This site is a boon. Thank You

Melody, USA: This is one of the most helpful math sites on the web. Thank you so much and keep up the good work!

Georg Schoen, Germany: Thank you so much. Your simple introduction to the formula for the quotient-rule is much, much clearer than my textbook. I liked the helpful admonitions, too.

James Lim, Malaysia: Hi, there’s only one word I can give you: Excellent! You know, it’s hard to get someone like u to teach in a basic way from the basic principle. Enjoy your "why learn..." before you start a lesson on it. Moreover I appreciate your maths proving which I can understand. Continue your great work k:)

Stephanie, USA: Your website was very helpful to me. Thanks for your helping me better understand these concepts!!

Christine, Australia: Thank you for your excellent section on negative numbers. My daughter does distance education math. Your terrific example of "the temperature change over the previous 7 hours" helped her understand multiplication of integers. She’s just one of those kids who says "How can you expect me to do it if I don’t understand it?" Thanks again.

Tom, New Zealand: I appreciate the efforts that you have made to teach maths to other humans over the internet. Using Livemath is pretty cool too - helps a lot to be able to fiddle with stuff. Thanks again for a nice site.

Zander, Australia: This site is superb. It clearly identifies the problems students have with maths and through a step by step guide, outlines the right methods and procedures needed in answering the questions. Thank you Interactive Maths!

Ashutosh, India: Intmath.com is excellent math tutorial.

Daetan, StumbleUpon.com: Awesome explanation of math concepts

Isaac, USA: Thanks for the good site. It is very educative.

Joel, Singapore: Your new site is awesome. It’s a whole new feel. Attractive and easier to navigate too.

Eudoxio, Mexico: OK, amigo, this is the best math place I have found in Web. It’s easy to understand, clear and fun. I’m not student but I like maths and this is great. It’s a good job. Felicitaciones¡¡¡¡¡

Aaron: Hi, I love your site!

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