Fall 2019  MATH 232 D100
Applied Linear Algebra (3)
Class Number: 4052
Delivery Method: In Person
Overview

Course Times + Location:
Sep 3 – Dec 2, 2019: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Burnaby 
Exam Times + Location:
Dec 9, 2019
Mon, 8:30–11:30 a.m.
Burnaby

Instructor:
Luis Goddyn
goddyn@sfu.ca
1 778 7824699

Prerequisites:
MATH 150 or 151; or MACM 101; 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 make 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
Homework Quizzes:
Student will keep a homework portfolio will not be directly graded. There will be 10 homework quizzes. These will occur at the start of each Wednesday class (except for Midterm weeks). Each quiz consists of 2 homework question, and is worth 1% of your course score.
Algebra Workshop:
The Algebra Workshop is a dropin workshop, open at least 3 days per week, where students may come from assistance with problems and questions during its working hours.
Calculators:
These will be permitted on examination, provided they do not have graphing/linear algebra capabilities nor online access.
The bookstore caries the following models:
SHARP EL510RTB http://www.sharp.ca/model.aspx?ID=1343&group=cal&type=consumer)
SHARP EL531XGBWH http://www.sharp.ca/model.aspx?ID=1913&group=cal&type=consumer)
Grading
 Online Assignments (Möbius Assessment) 5%
 Quizzes 10%
 Midterm 1 (October 2) 17.5%
 Midterm 2 (November 6) 17.5%
 Final Exam (December 9) 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 of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Materials
MATERIALS + SUPPLIES:
Möbius Assessment account for online assignments (register through Canvas with SFU computing ID).
REQUIRED READING:
Contemporary Linear Algebra
Howard Anton and Robert C. Busby
Wiley
ISBN: 9780471163626
Registrar Notes:
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
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS