Difference between revisions of "Course notes"
From UBCMATH WIKI
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'''The latest version of the Math 102 course Notes:''' | '''The latest version of the Math 102 course Notes:''' | ||
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap1.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap1.pdf Chapter 1]: Power functions as building blocks |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap2.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap2.pdf Chapter 2]: Average rates of change, average velocity and the secant line |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap3.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap3.pdf Chapter 3]: Three faces of the derivative: geometric, analytic, and computational |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap4.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap4.pdf Chapter 4]: Differentiation rules, simple antiderivatives and applications |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap5.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap5.pdf Chapter 5]: Tangent lines, linear approximation, and Newton’s method |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap6.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap6.pdf Chapter 6]: Sketching the graph of a function using calculus tools |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap7.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap7.pdf Chapter 7]: Optimization |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap8.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap8.pdf Chapter 8]: Introducing the chain rule |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap9.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap9.pdf Chapter 9]: Chain rule applied to related rates and implicit differentiation |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap10.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap10.pdf Chapter 10]: Exponential functions |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap11.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap11.pdf Chapter 11]: Differential equations for exponential growth and decay |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap12.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap12.pdf Chapter 12]: Solving differential equations |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap13.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap13.pdf Chapter 13]: Qualitative methods for differential equations |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap14.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap14.pdf Chapter 14]: Trigonometric functions |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap15.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap15.pdf Chapter 15]: Cycles, periods, and rates of change |
| − | *[https://dl.dropboxusercontent.com/u/18283532/chap16.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/chap16.pdf Chapter 16]: Review Problems |
| − | *[https://dl.dropboxusercontent.com/u/18283532/ToC.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/ToC.pdf Table of contents] |
| − | *[https://dl.dropboxusercontent.com/u/18283532/answers.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/answers.pdf Answers] |
| − | *[https://dl.dropboxusercontent.com/u/18283532/index.pdf | + | *[https://dl.dropboxusercontent.com/u/18283532/index.pdf 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.''' | ||
| + | *[https://dl.dropboxusercontent.com/u/18283532/Math102NotesAug31_2014.pdf Full pdf version] with internal links | ||
| − | * | + | ====Supplements==== |
| − | + | *[[Course notes/Fitting data - least squares|Fitting data - least squares]] | |
| − | *[ | + | *[[Course notes/Optimal foraging|Optimal foraging]] |
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*[http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx Paul's online notes], written by [http://www.math.lamar.edu/faculty/dawkins/dawkins.aspx Prof. Paul Dawkins] at [http://www.lamar.edu/ Lamar University] provides a good, free and online resource for a standard calculus course. | *[http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx Paul's online notes], written by [http://www.math.lamar.edu/faculty/dawkins/dawkins.aspx Prof. Paul Dawkins] at [http://www.lamar.edu/ Lamar University] provides a good, free and online resource for a standard calculus course. | ||
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Revision as of 11:20, 1 September 2014
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.
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: Trigonometric functions
- Chapter 15: Cycles, periods, and rates of change
- Chapter 16: Review Problems
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
Supplements
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.
