# Applied Linear Algebra

### Fall 2015

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

Office: ACD 114A
Phone
: (860) 405-9294

Office Hours
: W 2:00 - 3:00pm. and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Monday, Wednesday, and Friday.

General Information:

MATH 2210 is the introduction to linear algebra with elementary applications. covers the following major topics: linear systems of equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors.

Class Meeting Times/Place: Monday, Wednesday 11:00am. - 12:15 p.m. Classroom  ACD 304.

All classes start in ACD 304.

Textbooks:                          Required: Linear Algebra and its Applications, by David Lay

Homework Policy:

Homework is assigned every class and collected every Wednesday. They are returned the following Monday with remarks and graded. The total weight of the homework grades is 150 point of the total 500 course points.

Exam Schedule:                    Exam 1:  Monday, October 19 ,              11:00 a.m. - 12:15p.m.,  Room: ACD 304

Exam 2:  Monday, November 16,           11:00 a.m. - 12:15p.m.,  Room: ACD 304

Final Exam: Monday, December 14,    11:00a.m. - 1:00 p.m.,  Room: ACD 304

Grading Policy:                        Homework: 150, Exam 1: 100, Exam 2: 100, Final Exam: 150.

Links To Internet Resources:
Student Resources

Approximate schedule is below.

Please note: Some material will be presented differently than in the textbook.

Weather Cancellation:                           Media sites for Avery Point campus weather cancellation information.

 Date Chapter Topic Homework Week 1 Mon. 8/31 1.1 Systems of Linear Equations Ch. 1.1: Exercises 1,3,8,13,22,24 Wed. 9/2 1.2 Row Reduction and Echelon Forms Ch. 1.2: Exercises 1,3,7,8,19,21,22 Week 2 Mon. 9/7 Labor Day. No Classes Wed. 9/9 1.3 Vector Equations Ch. 1.3 Exercises: 1,3,6,9,12,14,15,21 Week 3 Mon. 9/14 1.4 The Matrix Equation Ax = b Ch. 1.4 Exercises: 1,4,7,9,13,22,23,25,42 Wed. 9/16 1.5 Solutions Sets of a Linear Equation Ch. 1.5 Exercises: 2,5,11,23 Week 4 Mon. 9/21 1.7 Linear Independence Ch. 1.7 Exercises: 1,5,8,9,15,20,22,33,34 Wed. 9/23 1.8 Introduction to Linear Transformations Ch. 1.8 Exercises: 1,8,9,13,17,31 Week 5 Mon. 9/28 1.9 The Matrix of a Linear Transformation Ch. 1.9 Exercises: 1,2,15,20 Wed. 9/30 1.10 Linear Models in Science and Engineering Ch. 1.10 Exercises: 2,5,8,11 Week 6 Mon. 10/5 2.1 Matrix Algebra: Operations Ch. 2.1 Exercises: 2,5,7,10,15,27 Wed. 10/7 2.2 Matrix Algebra: Inverses Ch. 2.2 Exercises: 3,6,13,18,31 Week 7 Mon. 10/12 2.3 Characterizations of Invertible Matrices Wed. 10/14 Review. Week 8 Mon. 10/19 Exam 1 Wed. 10/21 4.1 Vector Spaces and Subspaces Ch. 4.1 Exercises: 1,7,11,13,15,31 Week 9 Mon. 10/26 4.2 Null Spaces, Column Spaces, Linear Transformations Ch. 4.2 Exercises: 3,11,14,17,21,23,25 Wed. 10/28 4.3 4.4 Linear Independent Sets, Bases. Coordinate systems Ch. 4.3 Exercises: 3,4,9,11,13,15,23,24 Ch. 4.4 Exercises: 1,2,11,12,13,17 Week 10 Mon. 11/2 4.5 Dimension of Vector Spaces Ch. 4.5 Exercises: 1,9,11,17,19 Wed. 11/4 4.6 Rank Ch. 4.6 Exercises: 2,5,7,10,13,27 Week 11 Mon. 11/9 5.1 Eigenvalues and Eigenvectors. Review Ch. 5.1 Exercises: 2,3,7,13,17,19,23 Wed. 11/11 5.2 The Characteristic Equation Ch. 5.2 Exercises: 2,5,12,15,20,21 Week 12 Mon. 11/16 Review. Practice exam 2 Practice exam 2. Solutions Wed. 11/18 Exam 2 Week 13 Mon. 11/23 Thanksgiving recess. No Classes Wed. 11/25 Thanksgiving recess. No Classes Week 14 Mon. 11/30 5.3 Diagonalization Ch. 5.3 Exercises: 1,4,5,9,11,23,24,31 Wed. 12/2 6.1, 6.2 Inner Product and Orthogonality. Orthogonal Sets Ch. 6.1 Exercises: 5,10,13,15,17Ch. 6.2 Exercises: 1,2,9,11,14,20,26,27 Week 15 Mon. 12/7 6.4 Gram-Schmidt Process Ch. 6.4 Exercises: 3,7,9 Wed. 12/9 Review. Practice Final Exam Practice Final Exam. Solutions Week 16 Wed. 12/14 Final Exam, 11:00 a.m.-1:00 p.m.

This page is maintained by Dmitriy Leykekhman