Multimedia syllabus for Calculus I

Textbook

Calculus

Resources provided by the text

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.