Simon Fraser University
Engaging the World

Course Outlines

Summer 2020 - MACM 316 D100

Numerical Analysis I (3)

Class Number: 1206

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 11 – Aug 10, 2020: Mon, Wed, Fri, 10:30–11:20 a.m.
    Burnaby

  • Exam Times + Location:

    Aug 13, 2020
    Thu, 3:30–6:30 p.m.
    Location: TBA

  • 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:

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

Grading

  • Quizzes (8-10 Total, Equally Weighted) 20%
  • Computing Assignments (6 Total, Equally Weighted) 25%
  • I-Clicker Questions 6%
  • Homework Zero 4%
  • Midterm 1 12.5%
  • Midterm 2 12.5%
  • Final Exam 20%

NOTES:

 *There will be computational office hours scheduled
Mondays from 3:00 PM to 5:00 PM and
Fridays from 3:00 PM to 4:00 PM
Online – Monitored Canvas Discussion Board 

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

REQUIREMENTS:

Passing grade requires passing exams and computing 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).        
  • A webcam - one which is built-in to your computer or one that connects to your computer via USB.        
  • A microphone – built-in to your computer or USB plug-in or wireless Bluetooth.       
  • A scanner or camera to take pictures of your written work for upload to CrowdMark     
  •  iClicker Cloud subscription

Online course delivery and exam invigilation policy
Because of the current COVID situation, student participation in this course will require computer equipment and a reliable internet connection.  You may be requested to turn on audio and/or video during certain instructional activities that may include tests and examinations, though exceptions can be accommodated. If you request such an exception for personal reasons, you must do so in writing to the course instructor by May 20, 2020.

Materials

MATERIALS + SUPPLIES:

I-Clicker Cloud (formerly known as I-Clicker Reef) subscription

REQUIRED READING:

Numerical Analysis Lecture Notes  (free download on Canvas)

RECOMMENDED READING:

Numerical Analysis 10/E Burden and Faires Nelson Canada
e-text is available here
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 SUMMER 2020

Please note that all teaching at SFU in summer term 2020 will be conducted through remote methods. Enrollment in this course 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.

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) as soon as possible to ensure that they are eligible and that approved accommodations and services are implemented in a timely fashion.