# Applied Linear Algebra

### Spring 2012

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

Office: MAR 189
Phone
: (860) 405-9294

Office Hours
: W 2:00 - 3:00 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 9:30 a.m. - 10:45 a.m. Classroom  ACD 207.

All classes start in ACD 207.

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:  Wednesday, February 29 ,              9:30 a.m. - 10:45a.m.,  Room: ACD 207

Exam 2:  Wednesday, March 3,           9:30 a.m. - 10:45a.m.,  Room: ACD 207

Final Exam: Wednesday, May 2,    10:30a.m. - 12:30 p.m.,  Room: ACD 207

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

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. 1/16 No classes. Wed. 1/18 1.1 Systems of Linear Equations Ch. 1.1: Exercises 1,3,8,13,22,24 Week 2 Mon. 1/23 1.2 Row Reduction and Echelon Forms Ch. 1.2: Exercises 1,3,7,8,19,21,22 Wed. 1/25 1.3 Vector Equations Ch. 1.3 Exercises: 1,3,6,9,12,14,15,21 Week 3 Mon. 1/30 1.4 The Matrix Equation Ax = b Ch. 1.4 Exercises: 1,4,7,9,13,22,23,25,42 Wed. 2/1 1.5 Solutions Sets of a Linear Equation Ch. 1.5 Exercises: 2,5,11,23 Week 4 Mon. 2/6 1.7 Linear Independence Ch. 1.7 Exercises: 1,5,8,9,15,20,22,33,34 Wed. 2/8 1.8 Introduction to Linear Transformations Ch. 1.8 Exercises: 1,8,9,13,17,31 Week 5 Mon. 2/13 1.9 The Matrix of a Linear Transformation Ch. 1.9 Exercises: 1,2,15,20 Wed. 2/15 1.10 Linear Models in Science and Engineering Ch. 1.10 Exercises: 2,5,8,11 Week 6 Mon. 2/20 2.1 Matrix Algebra: Operations Ch. 2.1 Exercises: 2,5,7,10,15,27 Wed. 2/22 2.2 Matrix Algebra: Inverses Ch. 2.2 Exercises: 3,6,13,18,31 Week 7 Mon. 2/27 2.3 Characterizations of Invertible Matrices. Wed. 2/29 4.1 Review. Vector Spaces and Subspaces Ch. 4.1 Exercises: 1,7,11,13,15,31 Week 8 Mon. 3/5 EXAM 1 Wed. 3/7 4.2 Null Spaces, Column Spaces, Linear Transformations Ch. 4.2 Exercises: 3,11,14,17,21,23,25 Week 9 Mon. 3/12 Spring recess Wed. 3/14 Spring recess Week 10 Mon. 3/19 4.3 Linear Independent Sets, Bases Ch. 4.3 Exercises: 3,4,9,11,13,15,23,24 Wed. 3/21 4.5 Dimension of Vector Spaces Ch. 4.5 Exercises: 1,9,11,17,19 Week 11 Mon. 3/26 4.5 Dimension of Vector Spaces Ch. 4.5 Exercises: 1,9,11,17,19 Wed. 3/28 4.6 Rank. Ch. 4.6 Exercises: 2,5,7,10,13,27 Week 12 Mon. 4/2 5.1 Eigenvalues and Eigenvectors. Review. Ch. 5.1 Exercises: 2,3,7,13,17,19,23 Wed. 4/4 EXAM 2 Week 13 Mon. 4/9 5.2 The Characteristic Equation Ch. 5.2 Exercises: 2,5,12,15,20,21 Wed. 4/11 5.3 Diagonalization Ch. 5.3 Exercises: 1,4,5,9,11,23,24,31 Week 14 Mon. 4/16 6.1 Inner Product and Orthogonality Ch. 6.1 Exercises: 5,10,13,15,17 Wed. 4/18 6.2 Orthogonal Sets Ch. 6.2 Exercises: 1,2,9,11,14,20,26,27 Week 15 Mon. 4/23 6.4 Gram-Schmidt Process Ch. 6.4 Exercises: 3,7,9 Wed. 4/25 7.1 Diagonalization of Symmetric Matrices. Review Week 16 Wed. 5/2 Final Exam, 10:30 a.m.-12:30 p.m.