Ever wish you had a calculus tutor that was there for you all the time, day or night whenever you wanted, never required an appointment and was willing to go over and over a procedure until you got it right? And in addition cost less than the price of a single tutoring session, or problems book!
Well, now you have! This tutor is even available the night before the test, even the last few minutes before the test.
The web site you are about to sample has all these features and more. If you buy a problems book you can read how others do problems. If you go to a problems oriented class you will see how the instructor does the problems. If you hire a tutor you will see how the tutor does the problems. All these experiences are great, but what you really want is the skill to do the problems yourself.
This web site is where you will learn problem solving skills!
In this web site each topic is introduced with a short discussion covering the essential concepts and giving you the necessary formulas. You also have worked problems, over 250 of them, with accompanying discussion of procedures and hints for pitfalls to avoid. In addition, and this is what the books, the classes and the tutors do not have, we have teaching problems where you can drill yourself on correct procedures and keep going back over the procedures until you know you have them right.
Check out the samples sections below and ask yourself if this will help you get a better grade, and get that better grade easier than your present study method. We get right to the heart of each topic with basic review information, explanatory problems and then teaching problems were you can drill yourself on procedures until you have mastered them.
The problems are organized into areas such as Differential Calculus, Integral Calculus and Exponents and Logarithms with the organization paralleling the chapter outline of a typical college or university level calculus book. After reviewing the concepts proceed on to the problems.
About half the problems use a show/hide approach. We use the show/hide problems after we have shown you how to do a certain type of problem. In these problems you first see the statement of the problem and possibly a prompt to draw a diagram. Clicking the show/hide button shows this next step in the problem. With successive show/hide buttons the route through the problem is slowly revealed. This way you can follow along the problem and work it out while checking each step along the way. We think this is much better than stating the problem and then prompting you for the answer. What good is the answer if you do not know the steps in between? This way you can pinpoint the places that are giving you trouble and see how to proceed through the problem.
After you get used to this technique of learning how to apply concepts to problem solving you will look over the worked problems and then copy the "T" or teaching problems with the hide buttons, and work through the problems yourself successively checking by "showing" each step in the problem. A little unsure of the procedure? No Problem. Just come back another time and do it again. You will effectively teach yourself to do the problems in a non-threatening (no class, no tutor, no colleagues that are moving at a pace different from yours) environment. Take as long as it takes. When you can do the problem completely without opening any show buttons, you have master the technique for that type of problem. And what are these problems? They are the ones we and our colleagues are using on tests.
Four topics that you will encounter in the beginning of your calculus course are free and they are our way to introducing you to the site and what we call "problems that teach." After this, the remaining problems require payment of a modest $24.95 fee, less then the cost of one tutoring session. This fee allows entry into all the problem areas for a period of one year. Click on the Sign Up link below and pay with any major credit card. After that you can sign in each time you visit the site and have access to all the problems.
Remember: Doing problems is how you get graded!
You may already know, and if you do not you will quickly learn, that you can understand calculus and still not be able to do the problems.
And this site shows you how to do problems!
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Free Sections |
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| Mathematical Background | |
| Simultaneous Equations | Solving Quadratic Equations |
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| Binomial Expansion | Trigonometry |
| Coordinate Systems | Logs and Exponents |
| Differential Calculus | |
| Limits and Continuity | Derivatives |
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| Graphing with Calculus | Max-Min Problems |
| Related Rate Problems | |
| Integral Calculus | |
| The Antiderivative | Area Under the Curve |
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| Average Value of a Function | Area Between Curves |
| Trigonometric Functions | |
| Triangle Trigonometry | Functions |
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| Identities | Differentials |
| Integrals | |
| Exponents and Logarithms | |
| Exponent Basics | Exponential Functions |
|---|---|
| The Number e | Logarithms |
| Growth and Decay Problems | The Natural Logarithm |
| More Integrals | |
| Volumes | Arc Lengths |
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| Surfaces of Revolution | Techniques of Integration |
Click on the link to worked physics problems and tutorials for hundreds of worked physics problems and audio-visual tutorials.
While we have worked at making the pages compatible with all the popular network browsers the problems pages are best viewed with Internet Explorer.