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