Difference between revisions of "Course notes"
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*[[Course notes/Earth's energy balance|Earth's energy balance]] | *[[Course notes/Earth's energy balance|Earth's energy balance]] | ||
*[[Course notes/Fitting data - least squares|Fitting data - least squares]] | *[[Course notes/Fitting data - least squares|Fitting data - least squares]] | ||
| − | *[[Course notes/Optimal foraging|Optimal foraging]] | + | *[[Course notes/Optimal foraging and other repeated processes|Optimal foraging and other repeated processes]] |
*[[Course notes/Numerical integration|Numerical integration]] | *[[Course notes/Numerical integration|Numerical integration]] | ||
*[[Course notes/Degrees or radians - why you should always use radians|Degrees or radians - why you should always use radians]] | *[[Course notes/Degrees or radians - why you should always use radians|Degrees or radians - why you should always use radians]] | ||
Revision as of 15:13, 29 October 2015
These course notes were written and have been provided voluntarily for many years by Prof. Leah Keshet (UBC Math). They have been based on material she developed and taught in Math 102.
You can optionally get a full printed copy of the notes at [1] Copiesmart (5728 University Blvd #103, Vancouver, BC V6T 1K6).
Or: download the Full version (see below), which has internal links from the table of contents and index.
They are being updated over time. These notes are provided for all interested in learning. Copyrights are reserved by Keshet. Last update: September, 2015. (A list of known errors appears below)
The latest version of the Math 102 course Notes:
- Chapter 1: Power functions as building blocks
- Chapter 2: Average rates of change, average velocity and the secant line
- Chapter 3: Three faces of the derivative: geometric, analytic, and computational
- Chapter 4: Differentiation rules, simple antiderivatives and applications
- Chapter 5: Tangent lines, linear approximation, and Newton’s method
- Chapter 6: Sketching the graph of a function using calculus tools
- Chapter 7: Optimization
- Chapter 8: Introducing the chain rule
- Chapter 9: Chain rule applied to related rates and implicit differentiation
- Chapter 10: Exponential functions
- Chapter 11: Differential equations for exponential growth and decay
- Chapter 12: Solving differential equations
- Chapter 13: Qualitative methods for differential equations
- Chapter 14: Periodic and trigonometric functions
- Chapter 15: Cycles, periods, and rates of change
- Review Problems, Appendices, Table of Contents, Answers and Index
The Full version (below) has embedded html links. Download that version to your laptop or ipad to have full capability of the internal links.
- Full pdf version with internal links
Known errors in Course Notes
- Chap 2: Defn 2.13: should be (change in y)/(change in x)
- last parag of p 10: "column" should be replaced by "row" in refering to Fig 1.4
Supplements
- Earth's energy balance
- Fitting data - least squares
- Optimal foraging and other repeated processes
- 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.
