# Fall 2020 - MACM 316 D100

## Overview

• #### Course Times + Location:

Mo, We, Fr 12:30 PM – 1:20 PM
REMOTE LEARNING, Burnaby

• #### Exam Times + Location:

Dec 16, 2020
3:30 PM – 6:30 PM
REMOTE LEARNING, 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 Outline

Number systems and errors [1.5 weeks]
• Floating Point representation of numbers
• Error propagation and error estimation
Nonlinear equations [2 weeks]
• Bisection, secant method, Newton's method
• Fixed-point iteration and acceleration
Systems of linear equations [3 weeks]
• Gaussian elimination- factorization, pivoting, inverse calculation
• Iterative methods
• Eigenvalue problems
Interpolation and Approximation [2 weeks]
• Interpolating polynomial, Lagrange form and Newton forms, error formula
• Spline interpolation
• Trigonometric interpolation and Fourier Series
• Least-squares fitting
Differentiation and Integration [1.5 weeks]
•  Numerical differentiation- finite difference approximations
•  Numerical integration-composite quadrature rules, extrapolation
ODE 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
•  Midterm(s): synchronous; date: TBA
•  Final exam: synchronous; date: TBA

• Quizzes (10 Total, Equally Weighted) 20%
• Computing Assignments (7 Total, Equally Weighted) 25%
• Clicker Questions (Participation only) 5%
• Midterm Test 20%
• Final Exam 30%
• (*Passing grade requires passing final exam and computing assignments)

#### NOTES:

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 September 21, 2020.

*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:

*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
•  iClicker Reef subscription
• Matlab software (through SFU site license

## Materials

#### MATERIALS + SUPPLIES:

• Paid subscription for iClicker Reef app (LINK)

Numerical Analysis 10/E Burden, Faires, and Burden
e-text is available here ISBN: 9781305253667