# Summer 2023 - MATH 254 D100

## 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

• #### Instructor:

Stephen Choi
schoia@sfu.ca
1 778 782-3636
• #### 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.
• 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.

• 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

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.

ISBN: 978-0-470-91361-1

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.