calculus notes and applets

course notes

The following notes correspond to the free calculus book by David Guichard of Whitman College, which is located here. This work is licensed under a Creative Commons Attribution-Share Alike 3.0 United States License.

• Notes for Section 2.2: An Example
• Notes for Section 2.3: Limits (part 1)
• Notes for Section 2.3: Limits (part 2)
• Notes for Section 3.1: The Power Rule
• Notes for Section 3.2: Linearity of the Derivative
• Notes for Section 3.3: The Product Rule
• Notes for Section 3.4: The Quotient Rule
• Trigonometry Unit Circle
• Notes for Section 4.9: Implicit Differentiation
• Notes for Section 6.1: Optimization (part 2)
• Notes for Section 5.5: Asymptotes and Other Things to Look For
• Review for Final Exam

applets

Here are some applets for visualizing various concepts in calculus.

• GeoGebra applet that illustrates the formal definition of a limit
• GeoGebra applet that illustrates the connection between the graph of the derivative and slopes of tangent lines
• Sage worksheet illustrating connection between graphs of sine, cosine, and tangent and the unit circle
• Java applet illustrating approximation of the area under a curve