# Spring 2023 - MATH 252 D100

## Overview

• #### Course Times + Location:

Mo, We, Fr 8:30 AM – 9:20 AM
RCB 6125, Burnaby

• #### Exam Times + Location:

Apr 24, 2023
12:00 PM – 3:00 PM
SSCC 9000, Burnaby

• #### Instructor:

Nilima Nigam
nna29@sfu.ca
1 778 782-4258
• #### Prerequisites:

MATH 240 or 232, and 251, all with a minimum grade of C-. 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:

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.

• 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.

#### REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).

## Materials

#### MATERIALS + SUPPLIES:

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