# Spring 2021 - MACM 316 D100

## Overview

• #### Course Times + Location:

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

• #### Exam Times + Location:

Apr 20, 2021
12:00 PM – 3:00 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 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
•  Midterm(s): synchronous; date: TBA
•  Final exam: synchronous; date: TBA

• Computing Assignments (approximately 6, equal weight) 30%
• Term tests (approximately 6, equal weight) 70%

#### NOTES:

*There will be optional computational office hours scheduled weekly- every Thursday from 2:30 to 5:30 and Friday from 2:30 to 5:30, please plan accordingly.

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:

Passing grade requires passing exams and computing requirement

## Materials

#### MATERIALS + SUPPLIES:

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 CrowdMar

Numerical Analysis
10/E
Burden and Faires
ISBN: 9781305253667