Summer 2024  MATH 240 D100
Algebra I: Linear Algebra (3)
Class Number: 2624
Delivery Method: In Person
Overview

Course Times + Location:
May 6 – Aug 2, 2024: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
Burnaby

Instructor:
Imin Chen
ichen@sfu.ca
1 778 7823339

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
 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
DAVID C. LAY; JUDI J. MCDONALD; STEVEN R. LAY
Pearson Education
ISBN: 9780135851159
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