| Section Topic |
Supplemental Problems/Review |
| Pre-calculus Review |
Visit the Precalc tutorial at Visual Calculus for more practice. |
| 1.1-2 Visualizing Limits |
Visit the Limits Tutorial for additional proof discussion. |
| 1.3 Finding Limits Analytically |
For more problems, try the modules from Calculus on the web. Choose Calculus Book I, Limits and Continuity, Ordinary Limits, Basic limits, more examples. |
| 1.4 Continuity |
Visit Limits and Continuity: Graphical Approach for a supplemental review. |
| 1.5 Infinite Limits |
Visit the Vertical Asymptotes Tutorial at Visual Calculus if you need more practice with this material. (Bottom of page) |
| 2.1 The Derivative |
In class presentation: Difference Quotient Check out this interactive animation under the Convergence of Secant Slopes to the Derivative Function: Tangents and Secants Applet. (java) |
| 2.2 Basic Differentiation Rules |
Review graphs of derivatives. |
2.3 Product and Quotient Rules
2.4 The Chain Rule |
For more practice, try these Skill Mastery Quizzes. |
| 2.5 Implicit Differentiation |
See Karl's Calculus Tutorial on Implicit Differentiation. |
| 2.6 Related Rates |
Visit this Related Rates Tutorial if you need more practice with this material. |
| 3.1 Extrema |
For more practice, try Calculus on the Web. Choose Calculus Book I, Applications of the Derivative, Maxima-Minima, Relative Extrema. |
| 3.2 Rolle's Thm and the Mean Value Thm |
For further discussion, see this tutorial about the Mean Value Theorem. |
| 3.3 First Derivative Test |
For further discussion, see the tutorial at S.O.S. Math. |
| 3.4-5 Concavity / Second Derivative Test |
See the Horizontal Asymptotes Drill from Visual Calculus. |
| 3.6 Limits at Infinity & Curve Sketching |
Check out this summary of how to graph functions of one variable using the first and second derivatives. |
| 3.7 Optimization |
Try this tutorial for some extra maximum and minimum problems (It has a full set of solutions.) |
| 3.8 Newton s Method |
See the following animations of Newton's Method: Newton page 1, Newton page 2, Newton page 3, and Newton page 4. |
| 4.1 Antiderivatives & Indefinite Integrals |
Here are some resources about antiderivatives. |
| 4.2 Area |
Check out this interactive animation for Rectangle Approximation.
Try the practice summation exercises at
Calculus on the Web. Choose Calculus Book II, Integration, Sums, Summation. |
| 4.3 Reimann Sums and Definite Integrals |
Here is a tutorial, examples, and exercises about Riemann Sums. |
| 4.4 The Fundamental Thm of Calculus |
Try the practice integration exercises at
Calculus on the Web. Choose Calculus Book II, Integration, Fundamental Theorem. |
| 4.5 Integration by Substitution |
Here is a detailed example of how substitution works: S.O.S. Math
|
| 4.6 Numerical Integration |
Try this animation of the Trapezoidal Rule. |