Summer 2019 - MATH 254 D100
Vector and Complex Analysis for Applied Sciences (3)
Class Number: 1960
Delivery Method: In Person
Course Times + Location:
Mo 1:30 PM – 2:20 PM
BLU 9660, Burnaby
We, Fr 1:30 PM – 2:20 PM
SSCK 9500, Burnaby
Exam Times + Location:
Aug 8, 2019
8:30 AM – 11:30 AM
AQ 3159, Burnaby
Prerequisites:MATH 240 or 232; and 251. MATH 240 or 232 may be taken concurrently.
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.
- Review of vector algebra, scalar and vector fields, and multiple integrals.
- Parametrization of curves and surfaces; line, surface and volume integrals.
- Green's theorem, divergence theorem, Stokes's theorem.
- Complex numbers and functions.
- Complex Differentiation.
- Complex Integration.
- Power Series.
- Taylor Series.
- Laurent Series.
- Residue Integration.
- Conformal mapping.
- Online Assignments/In-class Quizzes 20%
- Midterm 30%
- Final Exam 50%
Complex Analysis. Erwin Kreyszig
(Available at the SFU Bookstore)
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