Fall 2021 - MATH 240 D100
Algebra I: Linear Algebra (3)
Class Number: 1242
Delivery Method: Remote
Course Times + Location:
Mo, We, Fr 11:30 AM – 12:20 PM
REMOTE LEARNING, Burnaby
1 778 782-4841
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.
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.
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.
- 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 Co-ordinates
- 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
- Eigenvectors and Linear Transformations
- Application: The Leslie Age Distribution model
- Inner Product, Length and Orthogonality
- Orthogonal Sets
- Orthogonal Projections
- The Gram-Schmidt Process
- Application: Least Squares Problems
- Lecture: synchronous- lectures will be held at fixed times, online, with recordings released after
(Attendance to these synchronous lectures will not be mandantory however, quizzes during the course timeslots would be)
- Midterm(s): synchronous; date: TBA
- Final exam: synchronous; date: TBA
- Hand-In Proofs 10%
- Midterm 1 15%
- Midterm 2 15%
- Final Exam 50%
- Quizzes 10%
- Access to strong and reliable internet.
- Ability to scan clearly readable documents (phone app acceptable)
- Access to webcam and microphone (embedded in computer sufficient)
Linear Algebra and Its Applications
Lay, Steven R.; Lay, David C.; McDonald, Judith; McDonald, Judi J.
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TEACHING AT SFU IN FALL 2021
Teaching at SFU in fall 2021 will involve primarily in-person instruction, with approximately 70 to 80 per cent of classes in person/on campus, with safety plans in place. Whether your course will be in-person or through remote methods 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 in-person 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 in-person 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 (email@example.com or 778-782-3112) as early as possible in order to prepare for the fall 2021 term.