Simon Fraser University
Engaging the World

Course Outlines

Summer 2019 - MATH 254 D100

Vector and Complex Analysis for Applied Sciences (3)

Class Number: 1960

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 6 – Aug 2, 2019: Mon, 1:30–2:20 p.m.
    Burnaby

    May 6 – Aug 2, 2019: Wed, Fri, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Aug 8, 2019
    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:

Designed for students in the Engineering Science program. Combines a continuation of the study of vector calculus from MATH 251 with an introduction to functions of a complex variable. Vector functions of a single variable, space curves, scalar and vector fields, conservative fields, surface and volume integrals, and theorems of Gauss, Green and Stokes. Functions of a complex variable, differentiability, contour integrals, Cauchy's theorem. Taylor and Laurent expansion, method of residues, integral transform and conformal mapping. Students with credit for MATH 322 or MATH 252 may not take this course for further credit. Quantitative.

COURSE DETAILS:

Vector Calculus:

  • Review of vector algebra, scalar and vector fields, and multiple integrals.
Gradient, divergence and curl:
  • Parametrization of curves and surfaces; line, surface and volume integrals.
Vector integral theorems and applications:
  • Green's theorem, divergence  theorem, Stokes's theorem.
Complex Analysis:
  • Complex numbers and functions.
  • Complex Differentiation.
  • Complex Integration.
  • Power Series.
  • Taylor Series.
  • Laurent Series.
  • Residue Integration.
  • Conformal mapping.

Grading

  • Online Assignments/In-class Quizzes 20%
  • Midterm 30%
  • Final Exam 50%

Materials

REQUIRED READING:

Calculus: Early Transcendentals, 8th Edition Textbook, by James Stewart, packaged with Multi-term Enhanced WebAssign [Text + EWA/eBook]
[Available through the SFU Bookstore]
This package can also be purchased directly from the publisher (with free shipping):
http://nelsonbrain.com/micro/SFU-math254
*Please Note: If you have purchased the above package within the last 5 years, do not purchase again!


ISBN: 9781305597624

Complex Analysis. Erwin Kreyszig
Wiley
(Available at the SFU Bookstore)
ISBN: 9781119436393

Registrar Notes:

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