Simon Fraser University
Engaging the World

Course Outlines

Fall 2026 - MATH 895 G100

Reading (4)

Class Number: 3940

Delivery Method: In Person

Overview

  • Course Times + Location:

    Location: TBA

Description

COURSE DETAILS:

We’ll briskly review some material on analytic functions, the Cauchy-Riemann equations, harmonic functions, the Cauchy integral formula and residue calculus. We’ll examine some consequences of the Cauchy integral formula, including the Open Mapping Theorem, which is a central result in functional analysis. We’ll then revisit singularities and the ’walking the dog’ theorem. We’ll spend time on the properties of mappings by elementary functions, conformal mappings and the Riemann mapping theorem. We’ll see the elegant connection between the study of complex variables and harmonic analysis. At the end of the term we'll discuss entire functions and the Great Picard theorem.

Grading

NOTES:

There will be weekly readings and problems assigned. Assessment will be based on the assigned problems and problem presentations. The assignments will equally-weighted. There will be no midterm or final.

REQUIREMENTS:

Students will already seen at least two terms of analysis before (Math 242 and Math 320, with Math 425 preferred), and either Math 322 (Complex variables) or Math 418 (PDE). It is assumed the students know the drill: the key to success in this course is practice. Ability to read and write proofs is assumed.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

At SFU, you are expected to act honestly and responsibly in all your academic work. Cheating, plagiarism, or any other form of academic dishonesty harms your own learning, undermines the efforts of your classmates who pursue their studies honestly, and goes against the core values of the university.

To learn more about the academic disciplinary process and relevant academic supports, visit: 


RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.