Simon Fraser University
Engaging the World

Course Outlines

Fall 2020 - APMA 920 G100

Numerical Linear Algebra (4)

Class Number: 3544

Delivery Method: Remote

Overview

  • Course Times + Location:

    Sep 9 – Dec 8, 2020: Tue, Thu, 2:30–4:20 p.m.
    Burnaby

Description

CALENDAR DESCRIPTION:

Conditioning and stability of numerical methods for the solution of linear systems, direct factorization and iterative methods, least squares, and eigenvalue problems. Applications and mathematical software.

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.

Exams may require live streaming from your computer or phone or the installation and use of specialized software such as Proctorio. Proctorio is a browser extension that works in Chrome when installed on a computer running Linux, MacOS or Windows.


This course is aimed at students interested in scientific computing and modeling. Along with an introductory numerical analysis course, this is a foundational course. If you are interested in using mathematical or statistical tools for simulation, then you will need numerical linear algebra.

We will cover a variety of topics in numerical linear algebra and its applications with an emphasis on understanding stability (robustness) and speed. We will develop, analyze and implement a range of algorithms and see how they work in practice and theory. We program and test our methods in Matlab – almost no prior knowledge is assumed.

Syllabus:
  1. Fundamentals
  2. Solving Linear Equations: LU factorization
  3. Conditioning and Stability
  4. Linear Least Squares Problems:  QR factorization
  5. Eigenvalues
  6. The SVD
  7. Iterative Methods
  8. Applications

Prerequisites:

Undergraduate courses in Linear Algebra and Numerical Analysis. Programming experience. Working knowledge of basic MATLAB.

Grading

  • Homework 40%
  • Quiz 10%
  • Project & Presentation 20%
  • Final Exam 30%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.

REQUIREMENTS:

Access to highspeed internet, webcam.

Materials

REQUIRED READING:

Numerical Linear Algebra, Trefethen & Bau, SIAM 1997 

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 FALL 2020

Teaching at SFU in fall 2020 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).