# Spring 2021 - MATH 252 D100

## Overview

• #### Course Times + Location:

Mo, We, Fr 8:30 AM – 9:20 AM
REMOTE LEARNING, Burnaby

• #### Exam Times + Location:

Apr 17, 2021
12:00 PM – 3:00 PM
REMOTE LEARNING, Burnaby

• #### Instructor:

Razvan Fetecau
van@sfu.ca
1 778 782-3335
• #### Prerequisites:

MATH 240 or 232, and 251. MATH 240 or 232 may be taken concurrently.

## Description

#### CALENDAR DESCRIPTION:

Vector calculus, divergence, gradient and curl; line, surface and volume integrals; conservative fields, theorems of Gauss, Green and Stokes; general curvilinear coordinates and tensor notation. Introduction to orthogonality of functions, orthogonal polynomials and Fourier series. Students with credit for MATH 254 may not take MATH 252 for further credit Quantitative.

#### COURSE DETAILS:

This course will be delivered online. Y
ou 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.

Topics covered
Vectors and vector-valued functions:

• review of vector algebra, scalar and vector fields
• tensor notation
• acceleration and curvature, geometry of curves and Frenet formulas.
Line, surface and volume integrals:
• simply connected domains
• conservative and solenoidal fields and their potentials
• orientable surfaces and surface integrals
• volume integrals
Integral theorems of vector calculus:
• Green's theorem, the divergence theorem and Stokes theorem
• Applications and consequences of the Fundamental theorem of vector analysis.
General curvilinear coordinates:
• Gradient, divergence, curl and Laplacian in cylindrical, spherical and generalized orthogonal curvilinear coordinates.
Introduction to orthogonality of functions, orthogonal polynomials and Fourier series.

#### COURSE DELIVERY

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

• Assignments and quizzes 40%
• Midterms (2) 30%
• 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.

## Materials

#### MATERIALS + SUPPLIES:

Required:

• Ability to scan documents (phone app acceptable)

Introduction to Vector Analysis
7/E
Harry F. Davis and Arthur David Snider
Hawkes Publishing
ISBN: 9780697160997