Simon Fraser University
Engaging the World

Course Outlines

Summer 2022 - MATH 254 D100

Vector and Complex Analysis for Applied Sciences (3)

Class Number: 3769

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 10 – Aug 8, 2022: Mon, Wed, Fri, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Aug 12, 2022
    Fri, 3:30–6:30 p.m.
    Burnaby

  • 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:

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

  • Weekly Quizzes 15%
  • Assignments 15%
  • Midterm 1 20%
  • Midterm 2 20%
  • Final Exam 30%

REQUIREMENTS:

Required: 

  • Access to strong and reliable internet.
  • Ability to scan documents (phone app acceptable)
  • Access to webcam and microphone (embedded in computer sufficient)

Materials

REQUIRED READING:

Advanced Engineering Mathematics, 10th Edition
By Erwin Kreyszig

E-Book and E-Book Rental (120 Days/ 150 Days) Available here on Publisher's Website
ISBN: 978-0-470-91361-1

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

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

TEACHING AT SFU IN SUMMER 2022

Teaching at SFU in summer 2022 will involve primarily in-person instruction.  Some courses may be offered through alternative methods (remote, online, blended), and if so, this will be clearly identified in the schedule of classes. 

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote, online, or blended courses study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the summer 2022 term.