MATH 2040
Matrix Theory Linear Alg II
Lec 01 selected
This course is a continuation of MATH 1030.03. Topics include: vector spaces and linear transformations, complex numbers, real and complex inner product spaces, orthogonal and orthonormal bases, Gram-Schmidt procedure, orthogonal projections, generalized Fourier series, orthogonal and unitary transformations, diagonalization of symmetric and hermitian matrices, quadratic forms, least squares approximation and curve fitting, applications.
Sections
Lecture
Lec 01
Tue, Thu 11:35-12:55
From the syllabus
From the Winter 2025 syllabus by Daniel Teixeira. Winter 2027 is taught by Kolokolnikov T., so details may differ. Open the PDF
Grading
5%Participation
15%HomeworkWeekly; lowest score dropped
20%Midterm 1February 6
20%Midterm 2March 11
40%Final examScheduled by Registrar
Textbook
- Linear Algebra Done Right, fourth edition, Sheldon Axler
Course rules
- Exam sheet
- One prepared handwritten A4 study sheet is allowed at midterms and the final.
- Midterms
- Each midterm has an individual exam followed by the same exam completed in small groups.
- Missed exams
- For exceptional circumstances, email the instructor in advance to discuss possible alternatives.
- Late homework
- Late homework is not accepted without the instructor’s prior permission.
- Homework drops
- The lowest homework score is dropped; a short application note can enable two additional drops.
- Collaboration
- Group work is encouraged, but homework and exams must be completed individually.
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