# Mathematics 341: Matrix Analysis and Positivity

## *2018 Spring semester:*
Apoorva Khare

**Course description:** This course explores matrix positivity and
operations that preserve it. These involve fundamental questions that have been
extensively studied in the mathematics literature over the past century, and
are still being studied owing to modern applications to high-dimensional
covariance estimation. The course will bring together techniques from
different areas: analysis, linear algebra, combinatorics, and symmetric
functions.

**Meetings:** Wed Fri 11am – 12:30pm, Mathematics Lecture Hall LH-3

**Midterm:** Friday February 23, in class.

**Pre-requisites:** A course in linear algebra, and a course in calculus/real
analysis.

**List of topics:** See this link.

**Template for scribing notes** – Here are the TeX source file (to write in) and the PDF output.

**Course notes:** Click on this link for the course notes, which will periodically get updated.

## *2017 Autumn semester:*
Apoorva Khare and Gadadhar Misra

- Mathematics 221 is a Core Course in real analysis, for the Integrated
Ph.D. program in IISc Mathematics.

This semester, we will closely follow Rudin's *Principles of
Mathematical Analysis*.

**Course handout:** Click on this
link.

**Homework assignments**

Homework 1
(due by Friday August 25, in TA's office hours or earlier in class)

Homework 2
(due by Friday September 8, in TA's office hours or earlier in class)

Homework 3
(due by Friday September 29, in TA's office hours or earlier in class)

Homework 4
(due by Tuesday October 24, in class)

Homework 5
(due by Tuesday November 7, in class)

Homework 6
(due by Friday November 17, in TA's office hours or earlier in class)

Homework 7
(due by Wednesday December 6, in Instructor's office hours by 4pm, or earlier in class)