**Syllabus:**

**Textbook:** Introduction to Linear Algebra, Johnson, Riess & Arnold, (5th Edition).

**Description:** (By S. Tanveer) Beyond the first two chapters, which are mostly computational, this course turns distinctly abstract--very different from the experience you are likely to have had in calculus. You are expected to do the necessary work in order to understand and apply these abstract concepts, including proofs. I suspect most of you are unlikely to appreciate its value immediately. I suspect many of you might struggle with proofs initially until you put time and effort to get the hang of it. Linear algebra is widely applicable to many areas of sciences, engineering, as well as quantitative social sciences and business studies. There are many instances where useful algorithms in practical applications involved deep understanding of abstract concepts. The material in this course may be considered basic bread and butter material in introductory linear algebra.

A general description of the course can be found here.

**Academic Misconduct Statement.**

**Grading**: Weekly Homework (35%) + Midterm 1 (15%) + Midterm 2 (15%) + Final exam (35%).

**Midterm 1:** September 20, in class. The exam covers everything discussed until the 09/13 lecture (inclusive). A sample exam.

**Midterm 2:** November 01, in class. The exam covers everything discussed until the 10/25 lecture (inclusive). A sample exam.

**Final Exam:** Section 0050 (16787): Thursday Dec 14, 10:00am-11:45am ; Section 0070 (16789): Wednesday Dec 13, 2:00pm-3:45pm.
The exam covers everything discussed, including homework assignments and past exams.

A sample exam.

Hint for Problem 3: The matrix is diagonalizable, and A^2 and A^3 can be computed by diagonalizing A.**Homework Assignments: updated periodically.
**

Homework 1 (due September 06): Chapter 1, Section 1.1, Exercise 8, 9, 10, 12, 14, 30, 31, 32, 34, 35.

Homework 2 (due September 13): Chapter 1, Section 1.2, Exercise 5, 8, 10, 19, 21, 24, 25, 29, 32, 42; Section 1.3, Exercise 3, 4, 20, 23, 24.

Homework 3 (due September 25): Chapter 1, Section 1.5, Exercise 8, 10, 25, 27, 29, 47, 48, 49, 53, 58; Section 1.6, Exercise 1, 2, 3, 4, 5, 6, 14, 17, 20, 42.

Homework 4 (due October 2): Chapter 1, Section 1.7, Exercise 1, 3, 5, 7, 9, 11, 16, 19, 22, 25, 41, 43, 45; Section 1.9, Exercise 3, 4, 7, 9, 17, 18, 34, 35, 37, 40.

Homework 5 (due October 9): Chapter 2, Section 2.1, Exercise 21, 34; Section 2.2, Exercise 34; Section 2.3, Exercise 17, 25, 37. Chapter 3, Section 3.1, Exercise 20; Section 3.2, Exercise 10, 18; Section 3.3, Exercise 5, 18, 34, 38, 42.

Homework 6 (due October 23): Chapter 3, Section 3.4, Exercise 6, 8, 11, 25; Section 3.5, Exercise 15, 16, 17, 22, 27; Chapter 5, Section 5. 2, Exercise 2, 3, 4, 8, 9, 10, 18.

Homework 7 (due November 06): Chapter 5, Section 5.3, Exercise 5, 6, 7, 8, 9, 10, 11, 12, 24, 31; Chapter 5, Section 5.4, Exercise 1, 2, 3, 4, 12, 13, 26, 27; Chapter 3, Section 3.6, Exercise 3, 4, 14, 15, 19, 20, 21.

Homework 8 (due November 14): Chapter 3, Section 3.7, Exercise 1, 6, 10, 11, 19, 26, 34; Chapter 4, Section 4.1, Exercise 5, 6, 7, 11, 13, 14.

Homework 9 (due November 27): Chapter 4, Section 4.2, 3, 4, 5, 6, 14, 17, 27, 28.; Section 4.4, Exercise 11, 12, 18, 19, 20, 21; Section 4.5, Exercise 6, 8, 10, 16, 19.

Homework 10 (due Never): Chapter 4, Section 4.6, Exercise 21, 22, 23, 24, 27; Section 4.7, Exercise 4, 6, 8, 14, 16, 30.