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Trigonometry, Functions and Limits
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This is the webpage of a completed course
24th April 2013 - 15th December 2013
mail: sri <dot> teach <at> gmail <dot> com (see email policy)
About
This is the course page of Trigonometry, Functions and Limits taught at High school level (corresponding to class 11 and 12 of Indian schools). Lecture notes/Problems will be posted in PDF format on weekly basis. If you are reading the notes on your own, you may have to fill in a lot of details. The purpose of these notes is not to be comprehensive, but to keep a log of ideas/problems discussed in the classroom. The best these notes can do is supplement a good textbook (see references below).
Notes / Problems
Click on the topic name to expand it.
Suggested reading / references
Trigonometry:
- Schaum's theory and problems in trigonometry
- wiki trig book
- College Trigonometry
- Precalculus: An Investigation of Functions
- mecmath trig book
Functions, Limits, differentiation:
Generic but good:
- Challenges and Thrill in precollege mathematics (highly recommended, try flipkart)
- Educative JEE mathematics - K D Joshi (truly inspiring)
- How to solve it ? by George Polya (an evergreen classic)
- math abundance
Other places on internet where you can find relevant videos / notes:
- Trig course at University of California
- videos at academic earth
- coursera's pre-calculus
- Some quizzes
Usage Policy
Notes are available under Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0).
In brief,
You are free:
- to Share — to copy, distribute and transmit the work
Under the following conditions:
- Attribution — You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
- Non commercial — You may not use this work for commercial purposes.
- No Derivative Works — You may not alter, transform, or build upon this work.
Email Policy
You are welcome to mail me your doubts / questions. It may sometimes take up to a week to respond to your query as I usually mail back on weekends, so please be patient. The email address is given at the top of the page. The reply text may have latex (math) content in it. Please use an addon like gmailtex to view it on your browser.
Typo / corrections
1. line 5, page 1 of week 3 solutions has to be "=-(-tan(45))" instead of "=-(-cot(45))". It makes no difference to the answer although. (Thanks to Abhay Rangan for pointing it out)
2. Answer for the penultimate problem on page 8 of week 9 handout should have been: "If fog is bijective then f is injective and g is surjective" instead of "fog is bijective when f is injective and g is surjective".
3. In lecture 8, functions-2, problem 2, we need to specify that $a\in A$ although it is implicit in the statement $f(a)=a$ (Thanks to Akshara Ravishankar for pointing it out)
4. In lecture 26, statement of problem 8 has been rectified. (Thanks to Akshara Ravishankar)
How to open a file
To read a pdf or a djvu file: Use sumatra pdf viewer ( on windows ) and evince ( on linux ).
Latex (math) rendering
This page uses mathjax to render math via latex. Please switch to recent version of your browser in case you have compatibility issues.
Disclaimer
This is a personal course webpage or a blog. It is just a place where I write my notes and stuff. This is not intended for any particular use.
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