Interactive Mathematics Site Info

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 maintain Interactive Mathematics as an interest. It now attracts over 10,000 unique visitors per day and 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.

Murray Bourne, Singapore, 2009.

Contact

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

Please use the Comments, Questions? 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, Questions? 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 inadvertantly infringed copyright or used a copyrighted image without permission, please inform me and I will rectify the oversight.

All other material, (including Flash and LiveMath manipulatives) except where otherwise credited, is copyright © Murray Bourne, 1997-2009.

Polls

Who are You?

A poll in April 2007 revealed the following about who visits Interactive Mathematics:

A math student
  95%

A math instructor
  4%

Just looking
  2%

Total votes: 1000

Why are you Here?

A poll in Jun 2007 revealed the following about why visitors come to Interactive Mathematics:

Studying for an exam

  49%

Doing homework

  27%

Doing research

  24%

Total votes: 1000

What's the best time to study Math?

A poll in July 2007 revealed what we all suspected - that afternoon math classes may not be such a good idea...

Morning (6AM to noon)

  32%

Night (10PM to 1AM)

  28%

Evening (6PM to 10PM)

  24%

Afternoon (noon to 6PM)

  15%

Total votes: 1000

Music when Studying Math?

A poll in Aug 2007 revealed some surprises about your music listening preferences while doing math. I expected both "no music" and "classical music" to be lower than they actually were.

No music

  35%

Easy listening

  28%

Loud music

  21%

Classical music

  16%

Total votes: 1000

Is Math Useful?

A poll in Sep-Oct 2007 asked if readers believed the mathematics that they were currently studying will be useful in their future career.

It was encouraging that over half felt that it would be useful and just 11% felt that they were not in a position to answer.

The math you are studying now - how useful is it for your future job?

Very useful

  51%

Not useful

  24%

Somewhat useful

  14%

Don't know yet

  11%

Total votes: 1000

Math Software

A poll in Nov-Dec 2007 asked if readers (or their teachers, or both) used mathematics software.

It is disturbing to me that less than half of respondents even use mathematics software. Such software has the potential to completely change mathematics education - and the efficiency of the way we do many things.

Do you use math software (like Matlab, Scientific Notebook, Mathematica)?

I have never used math software

  54%

My teacher and I both use it

  29%

I do but my teacher does not

  9%

My teacher does but I don't

  9%

Total votes: 1000

Feelings about Math

A poll in Dec 2007 - Jan 2008 asked how readers felt about mathematics.

The best way to describe how I feel about math is:

I enjoy math

  41%

It's OK but I find it hard

  31%

I hate math

  22%

No strong opinion

  6%

Total votes: 1000

Studying for a Math Test

A poll in Jan/Feb 2008 asked readers whether they study for a math test alone, or with friends.

Poll results:

Alone

  72%

With one friend

  14%

With a group of friends

  14%

Total votes: 1000

Favorite Math Activities

Poll results:

A poll in Feb/Mar 2008 asked readers about their favorite math activities. It is surprising (to me) how many chose "algebra". Really?

What is your favorite math activity?

Doing algebra

  39%

None of these

  22%

Drawing graphs

  15%

Doing calculator

  14%

Doing geometry

  9%

Total votes: 1000

Classroom Computers

A poll in Mar/Apr 2008 asked readers: "How many computers are used in your math classroom?"

Poll results:

None

  46%

Most students use one

  23%

One

  22%

Two

  9%

Total votes: 1000

Favorite subject in school?

A poll in May 2008 asked readers about their favorite subject in school. I'm happy that the first choice was math, but I guess you would expect that on a math site. It was a surprise that the 2nd choice went to English. I'm wondering how many non-native speakers of English chose this?

Poll results:

Math

  40%

English

  29%

Science

  16%

Music

  7%

History

  6%

Geography

  2%

Total votes: 1700

What stresses you?

A poll in Jun 2008 asked readers about their fears and stresses. It's nice to know that teachers are not the main cause of stress for most of you!

Poll results:

Taking exams

  45%

Completing homework

  29%

Relationships

  17%

Being bullied

  6%

Teachers

  3%

Total votes: 1400

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
32%

None
22%

1 hour
20%

2 hours
17%

3 hours
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
62%

Two or 3 times per lesson
20%

About once per lesson
10%

About once per week
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
32%

One book per week
32%

No books
22%

One book per day
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
53%

Good explanations of theory
30%

Plenty of diagrams
9%

Good rapport with the class
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
57%

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

I rarely use calculator
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
36%

Spiders
27%

Heights
24%

Crowded places
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
33%

Study then go to bed early
32%

Don't do any study
22%

Go to bed and get up early to study
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
36%

Never
32%

Always
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
31%

Understanding the formulas
30%

Understanding word problems
24%

Drawing graphs
9%

Notation (signs and Greek symbols)
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
37%

I don't believe in myself
24%

Math teachers
22%

Math is not relevant
11%

Other people don't believe I can do math
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
39%

I hate it
32%

I'm uncomfortable
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
52%

Moderate math anxiety
28%

No math anxiety
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
53%

Food
28%

Electricity
8%

Rent
7%

Mobile phone
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
43%

Maybe 1 week
20%

None
20%

Maybe 1 hour
11%

Maybe 1 day
7%

Total votes: 500

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Link to Interactive Mathematics

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://www.intmath.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

You can use this description:

Description
Interactive Mathematics uses LiveMath, Flash and Scientific Notebook to enhance mathematics lessons.

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

Who Links Here?

Go to Sites that Link to Interactive Mathematics.

Site Stats

So far, this site has...

• 5200 Images (gif, jpg and png)
• 840 HMTL files (actually, mostly PHP files)
• 150 LiveMath files (see LiveMath highlights)
• 50 Scientific Notebook files (see SNB info)
• 14 Flash files (see Flash highlights)
• 6 Videos

And growing!

Why is Everything so Big on this Site?

Interactive Mathematics was originally designed for use in the classroom, so fonts and diagrams are big.

I considered reducing the size of everything, but this would involve processing over 5000 math images - not a lot of fun...

Also, one of the key complaints of Internet users is that font sizes are too small. A lot of math sites have equations that are unreadable because they are so small. Enjoy being able to easily read Interactive Mathematics!

Testimonials

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: Hi there :-)

I’m currently re-doing grade 12 through a correspondence programme. 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. This site is better than all the math teachers that I ever had in school.

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: 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, NZ: 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.

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!

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: 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: 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.

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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¡¡¡¡¡