Summer 2021 - MATH 240 D100

Algebra I: Linear Algebra (3)

Class Number: 1350

Delivery Method: Remote

Overview

  • Course Times + Location:

    Mo, We, Fr 11:30 AM – 12:20 PM
    REMOTE LEARNING, Burnaby

  • Exam Times + Location:

    Aug 11, 2021
    8:30 AM – 11:30 AM
    REMOTE LEARNING, Burnaby

  • 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:


This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.



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
  • 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
  • Determinants and their Properties
  • Cramer's Rule
Complex Numbers
  • Arithmetic in Cartesian Co-ordinates
  • The Complex Plane,Complex Conjugate, and Magnitude
  • Polar Form, De Moivre's Formula and Euler's Formula
  • Roots of Quadratic Polynomials
Eigenvalues and Eigenvectors
  • Complex Eigenvalues
  • The Characteristic Equation
  • Diagonalization
  • Eigenvectors and Linear Transformations
  • Application: The Leslie Age Distribution model
Orthogonality and Least Squares
  • Inner Product, Length and Orthogonality
  • Orthogonal Sets
  • Orthogonal Projections
  • The Gram-Schmidt Process
  • Application: Least Squares Problems


Course Delivery

  •  Lecture: asynchronous- lectures will not be held at fixed times, on-line; they will be prerecord and released at fixed time
  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA

Grading

  • Homework / Quizzes 10%
  • Hand-In Proofs 10%
  • Midterm 1 20%
  • Midterm 2 20%
  • Final Exam 40%

REQUIREMENTS:

  • Access to strong and reliable internet.
  • Ability to scan clearly readable documents (phone app acceptable)
  • Access to webcam and microphone (embedded in computer sufficient)

Materials

REQUIRED READING:

Linear Algebra and Its Applications
5/E
Lay, Steven R.; Lay, David C.; McDonald, Judith; McDonald, Judi J.
Pearson Education
ISBN: 9780321982384

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

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/s10-01.html

TEACHING AT SFU IN SUMMER 2021

Teaching at SFU in summer 2021 will be conducted primarily through remote methods, but we will continue to have in-person experiential activities for a selection of courses.  Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges 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 in-person classes. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.

Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112).