Spring 2022  MATH 240 D100
Algebra I: Linear Algebra (3)
Class Number: 6545
Delivery Method: In Person
Overview

Course Times + Location:
Mo, We, Fr 11:30 AM – 12:20 PM
AQ 3149, Burnaby 
Exam Times + Location:
Apr 20, 2022
7:00 PM – 10:00 PM
WMC 3260, Burnaby

Instructor:
Jake Levinson
jlevinso@sfu.ca
1 778 7824853

Prerequisites:
MATH 150 or 151 or MACM 101, with a minimum grade of C; or MATH 154 or 157, both with a grade of at least B.
Description
CALENDAR DESCRIPTION:
Linear equations, matrices, determinants. Real and abstract vector spaces, subspaces and linear transformations; basis and change of basis. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. Applications. Subject is presented with an abstract emphasis and includes proofs of the basic theorems. Students with credit for MATH 232 cannot take this course for further credit. Quantitative.
COURSE DETAILS:
Linear Equations
 Systems of Linear Equations, Row Reduction and Echelon Form
 Vectors, Vector Equations, Matrices
 The Matrix Equation Ax=b
 Solution Sets of Linear Systems
 Matrix Inverse
 Linear Independence, Rank and Dimension
 Introduction to Linear Transformations
 The Matrix of a Linear Transformation
 Vector Spaces and Subspaces
 Null Spaces, Column Spaces, and Linear Transformations
 Linearly Independent Sets; Bases for Subspaces
 Coordinate Systems
 The Dimension of a Vector Space
 Change of Basis
 Determinants and their Properties
 Cramer's Rule
 Arithmetic in Cartesian Coordinates
 The Complex Plane,Complex Conjugate, and Magnitude
 Polar Form, De Moivre's Formula and Euler's Formula
 Roots of Quadratic Polynomials
 Complex Eigenvalues
 The Characteristic Equation
 Diagonalization
 Eigenvectors and Linear Transformations
 Application: The Leslie Age Distribution model
 Inner Product, Length and Orthogonality
 Orthogonal Sets
 Orthogonal Projections
 The GramSchmidt Process
 Application: Least Squares Problems
Grading
 Quizzes 10%
 HandIn Proofs 10%
 Midterm 1 15%
 Midterm 2 15%
 Final Exam 50%
Materials
REQUIRED READING:
Linear Algebra and Its Applications
5/E
Lay, Steven R.; Lay, David C.; McDonald, Judith; McDonald, Judi J.
Pearson Education
ISBN: 9780321982384
RECOMMENDED READING:
Linear Algebra
Jim Hefferon
Orthogonal Publishing L3c; 3rd ed. edition (Jan. 1 2017)
https://hefferon.net/linearalgebra/
ISBN: 9781944325039
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s1001.html
TEACHING AT SFU IN SPRING 2022
Teaching at SFU in spring 2022 will involve primarily inperson instruction, with safety plans in place. Some courses will still be offered through remote methods, and if so, this will be clearly identified in the schedule of classes. You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).
Enrolling in a course acknowledges that you are able to attend in whatever format is required. You should not enroll in a course that is inperson if you are not able to return to campus, and should be aware that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for inperson classes.
Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 7787823112) as early as possible in order to prepare for the spring 2022 term.