Simon Fraser University
Engaging the World

Course Outlines

Spring 2021 - APMA 990 G100

Selected Topics in Applied Mathematics (4)

Complex Analysis: Theorems & Applications

Class Number: 8059

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 11 – Apr 16, 2021: Wed, Fri, 10:30 a.m.–12:20 p.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

Topics vary depending on faculty availability and student interest. Recent offerings include: geophysical fluid dynamics, adaptive numerical methods for differential equations, learning theory, and stability, pattern formation and chaos.

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.


Selected Topics in Applied Mathematics: Complex Analysis: Theorems & Applications

Complex analysis is a subject whose importance has a broad reach within mathematics. This course will start with a short, but more rigorous (than is normally done at the undergraduate level) revisiting of the foundations of the study of analytic functions. The latter part of this course will aim to demonstrate the reach of complex analysis over a wide scope of theoretical, calculational, geometrical and computational questions in mathematics. Among the special topics could be the Riemann mapping theorem, conformal mapping and Fourier integral theory.

Prerequisite experience: Undergraduate introduction to complex variables. Other useful backgrounds may include real analysis, differential equations (ODEs & PDEs) and Fourier analysis. (SFU undergraduates with upper division analysis credits are encouraged to consider joining.)

Further information & updates: http://people.math.sfu.ca/~muraki/

Course Delivery

  •  Lecture: synchronous- optional in-person lectures will be held at fixed times as well as on-line.
  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA

Grading

  • Assignments 60%
  • Project 20%
  • Midterm 20%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.

Materials

MATERIALS + SUPPLIES:

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

REQUIRED READING:

The lectures will not follow one particular textbook. The topics presented will be selected from a variety of texts and research papers.

Graduate Studies Notes:

Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.

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 SPRING 2021

Teaching at SFU in spring 2021 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. 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).