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graduate courses
An overview of graduate courses offered by the Department of Mathematics in Burnaby and Surrey.
APMA 905 - Applied Functional Analysis
This will be an introduction to functional analysis and some of its applications. In a nutshell, we'll investigate the properties of continuous linear mappings of infinite-dimensional vector spaces. The more structure the space has, the stronger the theorems. We will focus on Hilbert spaces (which are almost 'tame') and Banach spaces (which can be wilder). The results will provide extremely useful tools for applications ranging from fixed point theory to numerical approximation through to the solvability of partial differential equations. We could also sell this course as the 'fundamental underpinning of much of machine learning', but we won't.
Prerequisite: A good (advanced undergraduate/beginning graduate) background in linear algebra and real analysis. You should be comfortable with notions of linear spaces, linear independence, eigenvalues/eigenfunctions, and metric spaces. Measure theory and graduate PDE would be useful courses to have had, but are not mandatory prerequisites.
Visit the 51社区黑料Academic Calendar to review details of all MATH/APMA course offerings.
Visit the SFU Course Outline database for archived and current course outlines.
Upcoming Exam Offerings: Summer 2025 and Spring 2026.
The Preliminary & Comprensive Exams are offered every second semester and should generally be completed by your 6th semester in the PhD program. Talk to your supervisor about when you should enroll in MATH 875/876.
MATH 875 - PhD Preliminary Exam
MATH 876 - PhD Comprehensive Exam
In-depth, specialized learning opportunities for graduate students.
Specialized reading courses supplement our regular graduate course offerings, allowing you to go even deeper on a particular topic. Faculty members can offer reading courses on virtually any topic in the world of math鈥攔anging from Historiography of Mathematics to Mathematical Models of Whole Genomes Analysis. These fascinating options change from term to term.
Interested in a particular reading course?
Current Math Graduate Students: first contact the course instructor to receive obtain the instructor's permission/signature, and then email Graduate Program Assistant with the approval correspondence at mathgsec@sfu.ca.
Student outside of the mathematics department: complete the Course Add/Drop Form, obtain the instructor's permission/signature, and return the form to the Graduate Program Assistant at mathgsec@sfu.ca.
Current Reading Course Offerings: