Simon Fraser University
Engaging the World

Course Outlines

Fall 2021 - MACM 316 D100

Numerical Analysis I (3)

Class Number: 1196

Delivery Method: Remote

Overview

  • Course Times + Location:

    Sep 8 – Dec 7, 2021: Mon, Wed, Fri, 12:30–1:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 12, 2021
    Sun, 8:30–11:30 a.m.
    Burnaby

  • Prerequisites:

    MATH 152 or 155 or 158, and MATH 232 or 240, and computing experience.

Description

CALENDAR DESCRIPTION:

A presentation of the problems commonly arising in numerical analysis and scientific computing and the basic methods for their solutions. Quantitative.

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.


COURSE DESCRIPTION

Number systems and errors [1.5 weeks] 

  • Representation of numbers; error propagation and error estimation.

Solution of nonlinear equations [2 weeks]
  • Bisection, secant method, Newton's method; fixed-point iteration and acceleration.

Systems of linear equations [3 weeks]
  • Elimination method - factorization, pivoting, inverse calculation; iterative methods; eigenvalue problems.

Interpolation and Approximation [2 weeks]
  • Interpolating polynomial, Lagrange form, error formula; spline interpolation; trigonometric interpolation and Fourier Series.

Differentiation and Integration [1.5 weeks]
  • Numerical integration - Newton-Cotes formulas, composite rules, Gaussian quadrature.

Initial Value Problems [2 weeks]
  • Euler's method, Taylor and Runge-Kutta methods; convergence, stability; stiff equations.

COURSE DELIVERY

  •  Lecture: synchronous- lectures will be held at fixed times, on-line (lectures will be recorded and posted after class)
  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA

Grading

  • Quizzes 20%
  • Computing Assignments 25%
  • Midterm Exam 20%
  • Final Exam 35%

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:

Technical requirements:       

  • Desktop or Laptop Computer      
  • An internet connection – broadband wired or wireless (3G or 4G/LTE). Minimum bandwidth is 800kbps (up/down) and recommended is 1.5 Mbps (up/down).     
  • Webcam - one which is built-in to your computer or one that connects to your computer via USB.        
  • Microphone – built-in to your computer or USB plug-in or wireless Bluetooth.       
  • Scanner or camera to take  high-resolution pictures of your written work for upload to CrowdMark

Materials

REQUIRED READING:

Numerical Analysis
10/E
Burden and Faires
Nelson Canada
ISBN: 9781305253667

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 2021

Teaching at SFU in fall 2021 will involve primarily in-person instruction, with approximately 70 to 80 per cent of classes in person/on campus, with safety plans in place.  Whether your course will be in-person or through remote methods will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware 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.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the fall 2021 term.