Course notes
From UBCMATH WIKI
Contents |
Leah Keshet's 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, 2013.
- Title page, TOC, preface, index.
- Chapter 1: How big can a cell be? (The power of functions).
- Chapter 2: Average rates of change, average velocity and the secant line
- Chapter 3: Zooming into the graph of a function: tangent lines and derivatives
- Chapter 4: The Derivative
- Chapter 5: What the Derivative tells us about a function
- Chapter 6: Optimization
- Chapter 7: The Chain Rule, Related Rates, and Implicit Differentiation
- Chapter 8: Exponential functions
- Chapter 9: Exponential Growth and Decay: Differential Equations
- Chapter 10: Trigonometric functions
- Chapter 11: Approximation methods
- Chapter 12: More Differential Equations
- Appendices
- Short answers to Problems
- Full text.
- Full text with Errata Highlighted. This will be updated during the term.
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.