MATH 2210

Applied Linear Algebra

Fall 2018

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

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

Office Hours
: TuTh 10:00 - 11:00am. 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-- Tuesdays and Thursdays.

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: Tuesday, Thursday 12:30 - 1:45 p.m. Classroom  ACD 311.

                                                      All classes start in ACD 311.

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

Homework Policy:

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

Exam Schedule:                    Exam 1:  Thursday, October 11 ,              12:30 - 1:45p.m.,  Room: ACD 311
                                                       
Exam 2:  Thurday, November 15,           12:30 - 1:45p.m.,  Room: ACD 311
    
                                                    Final Exam: Tuesday, December 11,    1:00 - 3:00 p.m.,  Room: ACD 311

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


Links To Internet Resources:
           greenball  Student Resources  


                                                      Approximate schedule is below.

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

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


 

Date Chapter Topic Homework
Week 1 Tu. 8/28 1.1 Systems of Linear Equations Ch. 1.1: Exercises 1,3,8,13,22,24

Th. 8/30 1.2 Row Reduction and Echelon Forms Ch. 1.2: Exercises 1,3,7,8,19,21,22





Week 2 Tu. 9/4 1.3 Vector Equations Ch. 1.3 Exercises: 1,3,6,9,12,14,15,21

Th. 9/6 1.4 The Matrix Equation Ax = b Ch. 1.4 Exercises: 1,4,7,9,13,22,23,25,42





Week 3 Tu. 9/11 1.5 Solutions Sets of a Linear Equation Ch. 1.5 Exercises: 2,5,11,23

Th. 9/13 1.7 Linear Independence Ch. 1.7 Exercises: 1,5,8,9,15,20,22,33,34





Week 4 Tu. 9/18 1.8 Introduction to Linear Transformations Ch. 1.8 Exercises: 1,8,9,13,17,31

Th. 9/20 1.9 The Matrix of a Linear Transformation Ch. 1.9 Exercises: 1,2,15,20





Week 5 Tu. 9/25 1.10 Linear Models in Science and Engineering Ch. 1.10 Exercises: 2,5,8,11

Th. 9/27 2.1 Matrix Algebra: Operations Ch. 2.1 Exercises: 2,5,7,10,15,27





Week 6 Tu. 10/2 2.2 Matrix Algebra: Inverses Ch. 2.2 Exercises: 3,6,13,18,31

Th. 10/4 2.3 Characterizations of Invertible Matrices Ch. 2.3 Exercises: 5,6,22,23





Week 7 Tu. 10/9
Review.

Th. 10/11
Exam 1





Week 8 Tu. 10/16 4.1 Vector Spaces and Subspaces Ch. 4.1 Exercises: 1,7,11,13,15,31

Th. 10/18 4.2 Null Spaces, Column Spaces, Linear Transformations Ch. 4.2 Exercises: 3,11,14,17,21,23,25





Week 9 Tu. 10/23 4.3 Linear Independent Sets, Bases. Ch. 4.3 Exercises: 3,4,9,11,13,15,23,24

Th. 10/25 4.4 Coordinate systems Ch. 4.4 Exercises: 1,2,11,12,13,17





Week 10 Tu. 10/30 4.5 Dimension of Vector Spaces Ch. 4.5 Exercises: 1,9,11,17,19

Th. 11/1 4.6 Rank Ch. 4.6 Exercises: 2,5,7,10,13,27





Week 11 Tu. 11/6 5.1 Eigenvalues and Eigenvectors. Review Ch. 5.1 Exercises: 2,3,7,13,17,19,23

Th. 11/8 5.2 The Characteristic Equation Ch. 5.2 Exercises: 2,5,12,15,20,21





Week 12 Tu. 11/13
Review. Practice exam 2
Practice exam 2. Solutions


Th. 11/15
Exam 2





Week 13 Tu. 11/20
Thanksgiving recess. No Classes

th. 11/22
Thanksgiving recess. No Classes





Week 14 Tu. 11/27 5.3 Diagonalization Ch. 5.3 Exercises: 1,4,5,9,11,23,24,31
Th. 11/29 6.1, 6.2 Inner Product and Orthogonality. Orthogonal Sets Ch. 6.1 Exercises: 5,10,13,15,17
Ch. 6.2 Exercises: 1,2,9,11,14,20,26,27





Week 15 Tu. 12/4 6.4 Gram-Schmidt Process Ch. 6.4 Exercises: 3,7,9
Th. 12/6
Review. Practice Final Exam
Practice Final Exam. Solutions






Week 16 Fri. 12/14
Final Exam, 10:30-12:30 p.m.


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This page is maintained by Dmitriy Leykekhman 
Last modified: 11/25/2018