Summer 2023  MATH 240 D100
Algebra I: Linear Algebra (3)
Class Number: 2187
Delivery Method: In Person
Overview

Course Times + Location:
Mo, We, Fr 11:30 AM – 12:20 PM
AQ 3149, Burnaby

Instructor:
Jonathan Jedwab
jed@sfu.ca
1 778 7823337

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
 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
 Homework / Quizzes 10%
 HandIn Proofs 10%
 Midterm 1 15%
 Midterm 2 15%
 Final Exam 50%
Materials
REQUIRED READING:
Linear Algebra and Its Applications
6/E
Lay, Steven R.; Lay, David C.; McDonald, Judith; McDonald, Judi J.
Pearson Education
ISBN: 9780135851043
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
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