Spring 2022  MATH 232 D100
Applied Linear Algebra (3)
Class Number: 6497
Delivery Method: In Person
Overview

Course Times + Location:
Mo, We, Fr 11:30 AM – 12:20 PM
SSCC 9001, Burnaby 
Exam Times + Location:
Apr 20, 2022
7:00 PM – 10:00 PM
GYM CENTRAL, Burnaby

Instructor:
Brenda Davison
bdavison@sfu.ca

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. Introduction to vector spaces and linear transformations and bases. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. An emphasis on applications involving matrix and vector calculations. Students with credit for MATH 240 may not take this course for further credit. Quantitative.
COURSE DETAILS:
Topics Outline: Linear equations, matrices, determinants. Introduction to vector spaces and linear transformations and bases. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. An emphasis on applications involving matrix and vector calculations.
Topic Details:
Vectors
 Vectors in Euclidean nSpace
 Dot Product and Orthogonality
 Lines and Planes
 Row Reduction (Gaussian elimination) to Echelon form
 The Geometry of Linear Systems
 Applications in business, science and engineering
 Matrix operations
 Matrix inverse; and properties of matrices
 Elementary matrices and calculating matrix inverses
 Matrices with special forms.
 Matrices as transformations
 Geometry of Linear Transformations
 Kernel and range
 Composition and Invertibility
 Application to Computer Graphics (optional)
 Calculating determinants
 Properties of determinants
 Cramer's rule (optional)
 Arithmetic in Cartesian coordinates.
 The complex plane, complex conjugate, magnitude and argument (phase).
 Polar form, De Moivre's formula and Euler's formula.
 Roots of quadratic polynomials.
 Properties and geometry
 Complex eigenvalues and complex eigenvectors
 Dynamical Systems and Markov Chains
 Application to Economics: the Leontief model (optional)
 The Power Method; Application to Internet Search Engines
 Matrix Similarity and Diagonalization
 Subspaces and Linear Independence
 Basis and Dimension
 The Fundamental Spaces of a Matrix
 Rank
 Change of basis
 Projection
 Orthogonal bases and the Gram Schmidt process
 Orthogonal matrices (optional)
 Application to least squares approximation
Course Delivery
 Midterm(s): synchronous; date: TBA
 Final exam: synchronous; date: TBA
Grading
 Quizzes (5, every other week, 15 min in length, not during midterm weeks) 15%
 Computing Assignments (5, every other week, not during midterm weeks) 15%
 Midterms (2, 15% each) 30%
 Final Exam 40%
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 of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Materials
REQUIRED READING:
An Introduction to Linear Algebra
Daniel Norman and Dan Wolczuk
3rd Edition
Pearson
ISBN: 9870134682631
RECOMMENDED READING:
Stephen Boyd and Lieven Vandenberghe
ISBN: 9781316518960
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
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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.