Fall 2022  MATH 240 D100
Algebra I: Linear Algebra (3)
Class Number: 4143
Delivery Method: In Person
Overview

Course Times + Location:
Mo, We, Fr 11:30 AM – 12:20 PM
SWH 10041, Burnaby 
Exam Times + Location:
Dec 17, 2022
3:30 PM – 6:30 PM
AQ 3181, 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%
 Midterm 1 20%
 Midterm 2 20%
 Final Exam 50%
NOTES:
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting ofmarks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
REQUIREMENTS:
This course is delivered in person, on campus, and students are expected to attend all lectures. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).
Materials
REQUIRED READING:
Linear Algebra with Applications
W. Keith Nicholson
This is an open textbook freely available on the following webpage:
https://lyryx.com/linearalgebraapplications/
REQUIRED READING NOTES:
Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/coursematerials/mypersonalizedcoursematerials.
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
SFU’s Academic Integrity website 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