Ma330 Fall 2016 (MWF 1-1:50 in CB 337)

The page is now ready to use.

However, the page shall be updated  as often as needed.

Some current  links

Course Policy

Class plan:                     Continually updated

Do log into Canvas and formulate project groups on your own. Contact me if you need help.

A most useful resource

Another useful resource at UTK

New files

Summary of math overview

My comments on BBC interview

Old (1898) book by Ball on Math. History.

Pdf, but it is also available as a free audio book on Librivox!

Here is the TOC for easy lookup.

Final Project

The groups must be fixed by Nov. 2 and the topics chosen by Nov. 8.

Instructions for the final project are here.

Some useful project sources

Contents of Sherlock Holmes’ … book

Possibly useful for projects History talks on bbc (Sautoy) link

Quiz 1 material

·       Sample Maple calculations (in html format)

·        The quiz itself due on 10/12/16

Math discussion in class

1.      Continued fractions

2.      Division algorithm

3.      Chakravala algorithm

4.      Maple files for 1, 2, 3.

5.      Evaluating Pi Maple file

6.      Excel file for continued fractions

Some interesting problems: arising from Chakravala

Some transcendence proofs

Talks on midterm projects.

Week of 11/14-18

 

Essay on

Brahmagupta’s Arithmetic

Essay of Brahmagupta’s Algebra

The book

of Al Khwarizmi

The Chronology of Ancient Nations

Al Biruni

 

A very interesting link to browse. I strongly recommend it!!

A new movie on Ramanujan’s life is scheduled at 7:15 PM on Monday Oct. 24. Check details at this link.

An old short documentary on Ramanujan exists on YouTube. Check here.

There are many other interesting videos available on YouTube. Here is one more (longer).

A link to my web site from Spring 2016. Updated file links may be brought back to this page as needed.

·        Check out a BBC link discussing Indian Math. Our textbook author is interviewed with two other Mathematicians. To be discussed in class on 9/2/16.

·       A summary of class discussion on overview of Mathematics. To be updated as needed.

·       A useful text about Mathematics in India.

·       The source book for continued fractions by C. D. Olds

·       Viete’s Formula (wiki), Nested radicals (wiki)

·       An interesting link about calculation of π. Another link about Ramanujan’s work on π.

·       More discussion of the Brahmagupta-Jayadeva-Bhaskara algorithm (or the so-called Pell’s Equation): Selenius Paper. Some interesting related problems.