Course notes

These course notes were written by Prof. Leah Keshet (UBC Math) and are based on material taught in Math 102 over several years. They are being updated over time. These notes are provided for all interested in learning. Copyrights are reserved by Keshet. Last update: August, 2014. (A list of known errors appears below)

The latest version of the Math 102 course Notes: THE NOTES HAVE BEEN REMOVED BY LEAH KESHET

Known errors in Course Notes

• Chap 2 (Example 2.15, p 35) denominator of last \(\Delta t\) quotient should be (2.5-2)
• Chap 2 (Defn 2.4, p 29): For a straight line, we define the rate of change of y with respect to time t
• Chap 5 (Example 5.1, p 95): Tangent line intersects x axis at 6.75/5.75=1.174
• Chap 6 (Example 6.13): the interval should include the endpoints \(0.1 \le x \le 4\)
• Chap 8 (Example 8.1, p 160): In the solution, the two functions are reversed.
• Chap 8 (Example 8.3, p 161): $\frac{dy}{du}$ is missing a factor of 10 from the Power Rule. In the final answer, replace 5 by 50.
• Chap 10 (Example 10.8) has a bad error. The eqn of the tangent line should be y=x+1.
• Chap 10 (Example 10.15): in the solution, \(a=e^{8.2}\) (not \(e^8.2\))
• Chap 14, Section 14.3: The domain and range of the inverse sine and cosine functions should be closed intervals (not open as stated in several places in this section).

Supplements

• Fitting data - least squares
• Optimal foraging
• Numerical integration
• Degrees or radians - why you should always use radians

Hard copies

You can buy a printed paper copy of this material from Copiesmart on University Boulevard.

Address: Copiesmart, #103 5728 University Blvd. Tel: 604-222-3189, 604-222-3194.

Additional references

• Stewart's Calculus: Early Transcendentals is available at the UBC bookstore and can be found secondhand as it is used for a number of other first year calculus courses on campus. It does not cover all the topics we cover in this course and covers some topics we do not cover but there is a significant overlap and, for some topics, especially the basic ones, you might find useful worked examples.

• Paul's online notes, written by Prof. Paul Dawkins at Lamar University provides a good, free and online resource for a standard calculus course.