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Syllabus

Introduction to Linear Algebra; Spring 2018; MTH215

The following calendar gives a timetable for the course. Your class may be slightly behind or ahead at any given time. Below the calendar is a list of sections in the textbook " Linear Algebra and Its Applications 5th Ed", by David C. Lay, Steven R. Lay, Judi J. McDonald, Pearson, Pearson, 2015. ISBN-10: 032198238X; ISBN-13: 978-1118233788 Some of these may be done in class, others as homework. You should attempt them all. (Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned.)


 Week  Events  Section  Problems
Jan 22 Introduction 1.1 1, 2, 7, 8, 11, 13, 19-22, 25, 30, 31, 32
Jan 29 Row Reduction
Vector Equations
1.2
1.3
1, 3, 7-12 15, 17,20, 23, 28
1, 3, 5, 11, 13, 17, 19, 25
Feb 5 Matrix Equation
Solution Set of Linear System
1.4
1.5
1, 3, 5, 9, 12, 13, 15, 17, 21, 25, 32
3, 5, 9, 11, 13, 17, 19, 21, 29-33
Feb 12 Linear Independence
Linear Transformations
1.7
1.8
3, 5, 7, 9, 13, 15, 16, 19, 26, 27, 33
1, 3, 7, 9, 11, 13, 17, 19, 27, 31, 32
Feb 12 Last day to drop course    
Feb 13 Midterm exam   Chapter 1
Feb 19 Matrix of a Linear Transformation 1.9 1, 2, 5, 7, 9, 17, 19
Feb 22 project 1 due Practice  
Feb 26 Exam 1 Exam 1
2.1

1, 3, 5, 7, 9, 13, 17, 23, 24, 27
Mar 5 Inverse of Matrices 2.2 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33
Mar 12 Spring Break cofactor    
Mar 19 Invertible Matrices
Determinants
2.3
3.1&3.2
1, 3, 7, 8, 9, 13, 15-17, 22
1, 3, 5, 9, 11, 13, 20, 21, 25, 33-36
Mar 26 Exam 2 4.1 1, 3, 7, 9, 13, 17, 21, 23, 24
Apr 2 Null Space
Basis
4.2
4.3
1, 3, 5, 7, 10, 17, 19, 23, 27
1, 3, 5, 9, 11, 15, 19, 23, 24, 37
Apr 9 Dimension of Vector Space
Change of Basis
4.5
4.6
1, 3, 5, 7, 11, 13, 17, 21, 22
1, 3, 5, 7, 11, 25, 26, 31
Apr 16 Eigenvectors
Characteristic Equation
5.1
5.2
1, 3, 5, 7, 9, 13, 17, 19, 25, 26, 38
1, 3, 7, 9, 10, 15, 18, 23
Apr 23 Exam 3; Project 3 due    
May 8 Final Exam   at 11:30 am
 
 
Prof. Vladimir Dobrushkin
Department of Mathematics