YIF- 2017

Here you will find resources for the course, as it progresses. Refresh the page just to ensure you get the latest version of the page.


Introduction
Course Description
Calendar

Important resources we will use:
  1. Desmos : This is a graphing calculator available online for free.
  2. Sage (Online) : This is a symbolic algebra package we will use for mathematical experiments. The link gives online access.  If you wish to download and install on your machine, go to Sagemath.org. 
UPDATE  Try the internet version. If it doesn't work for you, you can download and install in your machine. Ask Vishal and Vipul for any help.
Here are the Instructions from Vipul and Vishal.
Books and resources:

Some books that came up in conversation.  These are in case you are able to breeze through my notes and finish all assignment questions easily!
  1. Current version of all notes/draft textbook. 
  2. George Gamow, One, two, three... infinity: Facts and Speculations of Science 
  3. Raymond Smullyan, What is the name of this book? The riddle of the Dracula and other Logical Puzzles.
  4. Punya Mishra (Ambigrams), http://www.punyamishra.com/category/ambigrams/. There is even a book which contains many mathematical themes explored via ambigrams (and some bad puns). 
  5. Fermat's Last Theorem, Simon Singh
Interesting links:

  1. The Devil and Simon Flagg, by Arthur Porges.  http://simonsingh.net/books/fermats-last-theorem/wacky-fermat-stuff/devilish-short-story/. For which a mathematician was willing to sell his soul to the Devil. 
  2. And he built a crooked house, by Robert Heinlein. A classic science fiction story about a tessaract.
  3. (Thanks to Vedhika)  http://www.educationworld.com/a_issues/chat/chat010.shtml. An interview with Carol Dweck, so says (like I believe) that its an effort game. It will tell you why I believe effort on Assignments is more important than performance in quizzes. 
  4. (Thanks to Vishal) http://home.adelphi.edu/~stemkoski/mathematrix/comics.html A collection of math cartoons. 
  5. XKCD. https://xkcd.com This site has many cartoons related to math and science.
  6. Math with bad drawings. https://mathwithbaddrawings.com
  7. T. S. Eliot: Macavity, the mystery cat. 


Week 1
Lecture 1 (Wednesday):
Assignment 1 - Part 1: Due: July 21. Chapter 1, 3 of notes (Do and Discuss)
Notes for lecture 1.
Presentation

Lecture 2 (Friday):
Notes for lecture 2
TYPO Alert:  In Ch4, Q4, line 5, it should be 2020 not 2010.
Assignment 1 - Part 2: Due July 26. Chapters 2, 4, 5 (Do and Discuss)
Presentation

Week 2
Lecture 3 (Wednesday):
Notes for lecture 3
Presentation

Lecture 4 (Friday):
Notes for lecture 4
Presentation

Week 3
Lecture 5 (Wednesday):
Notes for lecture 5
Presentation

Lecture 6 (Friday):
Notes for lecture 6
Presentation

Assignment 3 due Aug 9, 2107: Ch 9, 10, 11, 12
  • In Q 4, 5, 6 of Chapter 10, I am not looking for detailed proofs. I am however expecting you to experiment with examples and tell the correct answers based on those examples. (Show what examples you used.)
  • Q5 and 6 of Ch 11 are to be covered in next assignment.  
  • Q 5 of Ch 12 is also moved to the next assignment. 


Definition of Cos/Sin Move the dots around the circle to see different values of
$(\cos\theta , \sin\theta)$ 



Week 4
Lecture 7 (Wednesday):
Notes for lecture 7
Presentation

https://www.youtube.com/watch?v=N2UhSnvOcaE
(Optional: Watch from 28-45 minutes or more if you feel like. Its a video I see once every year.)


Lecture 8 (Saturday):
Notes for lecture 8
Presentation

Extra problems for practice on functions


Assignment 4 (part 1) due Aug 22, 2107, 1:59 PM: Ch 11, 12 (pending problems) 13, 14
  • Q5 and 6 of Ch 11
  • Q 5 of Ch 12 
  • Ch 13 and Ch 14.
  • Note. Q4 from Ch 13 is a group activity, which I will grade from 5 points. Last time some marks were cut when I felt the group found a proof on the web and did not think about it sufficiently on their own.
All this is for 20 marks. There is a part 2 of the assignment for 5 parts. This will be from Chapters 15 and 16. I will upload the latest version of the complete book somewhere above on this page. 

Week 5
Lecture 9 (Tuesday):
Notes for lecture 9
Presentation


Lecture 10 (Friday):
Presentation