Simon Fraser University
Engaging the World

Course Outlines

Spring 2018 - MATH 252 D100

Vector Calculus (3)

Class Number: 3024

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 3 – Apr 10, 2018: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Exam Times + Location:

    Apr 12, 2018
    Thu, 8:30–11:30 a.m.
    Burnaby

  • 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:

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.

Grading

  • Homework 20%
  • Midterm 30%
  • Final Exam 50%

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

REQUIRED READING:

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

Registrar Notes:

SFU’s Academic Integrity web site http://students.sfu.ca/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

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS