Simon Fraser University
Engaging the World

Course Outlines

Summer 2023 - MATH 254 D100

Vector and Complex Analysis for Applied Sciences (3)

Class Number: 2190

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 8 – Aug 4, 2023: Mon, Wed, Fri, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Aug 13, 2023
    Sun, 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%

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:

Advanced Engineering Mathematics, 10th Edition
By Erwin Kreyszig

This text is available in electronic format to purchase or to rent on the Wiley website.

Current SFU students have access to the full text online via the SFU library.

Note that access to the text via the library was checked in February 2023 and subject to library lease. See link above for more information.
ISBN: 978-0-470-91361-1

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website 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

RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the semester are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.