# Algebra

## Linear Transformations

This is a ungraduate/graduate level course being offered at Indiana University by the Math Department. I took this course on Summer 2012 with Prof. Chris Judge. The textbook we used was Linear Algebra, 3rd Edition by Serge Lang., a very good book in my opinion but somewhat hard to grasp at first, but you can get get used to it. The following is a compilation of my solutions to assignments given in class. All assignments are from the textbook. You can also check Solutions Manual for Lang's Linear Algebra.

## Assignments

- Assignment 1 (with solutions)
- Assignment 2
- Assignment 3 (with solutions)
- Assignment 4 (with solutions)
- Assignment 5 (with solutions)

## Exams

## Resources

## Video Lectures

- University of Colorado Online Math

Excellente resource for many math classes. For this class I recommend: MATH 4130 Linear Algebra I, Fall 2007* - Dr. Radu Cascaval

## Introduction to Modern Algebra I (Honors)

This is a graduate level course being offered at Indiana University by the Math Department. I took this course on Fall 2013 with Prof. Darrell Haile. The textbook we used was Algebra by Artin (2nd Edition) (Featured Titles for Abstract Algebra), a rigourous introduction to modern algebra. Hard to read at times but very valuable. The following is a compilation of my solutions to assignments given in class.

## Assignments

- Assignment 1 - [Solution]
- Assignment 2 - [Solution]
- Assignment 3 - [Solution]
- Assignment 4 - [Solution]
- Assignment 5 - [Solution]
- Assignment 6 - [Solution]
- Assignment 7 - [Solution]
- Assignment 8 - [Solution]
- Assignment 9 - [Solution]
- Assignment 10 - [Solution]
- Assignment 11 - [Solution]
- Assignment 12 - [Solution]

## Exams

- MidTerm - [Solution]
- Final Exam (no solution provided)

## Resources

- MidTerm Review
- Final Exam Review
- Review Sheet
- Quotient Spaces
- Final Exam for another related course
- Useful Facts

## Video Lectures

- University of Colorado Online Math

Excellente resource for many math classes. For this class I recommend: MATH 4140 Modern Algebra I, Fall 2007* - Dr. Gene Abrams

## Introduction to Modern Algebra I

This is a ungraduate/graduate level course being offered at Indiana University by the Math Department. I took this course on Fall 2012 with Prof. Ayelet Lindenstrauss. The textbook we used was A First Course in Abstract Algebra (3rd Edition) by Rotman. The following is a compilation of my solutions to assignments given in class. All assignments are from the book.

## Assignments

- Assignment 1 (with solutions)
- Assignment 2 (with solutions)
- Assignment 3 (with solutions)
- Assignment 4 (with solutions)
- Assignment 5 (with solutions)
- Assignment 6 (with solutions)
- Assignment 7 (with solutions)
- Assignment 8 (with solutions)
- Assignment 9 (with solutions)
- Assignment 10 (with solutions)
- Assignment 11 (with solutions)
- Assignment 12 (with solutions)
- Assignment 13 (with solutions)