Spring 2020 - MATH 252 D100
Vector Calculus (3)
Class Number: 3698
Delivery Method: In Person
Course Times + Location:
Mo, We, Fr 8:30 AM – 9:20 AM
BLU 10021, Burnaby
Exam Times + Location:
Apr 14, 2020
8:30 AM – 11:30 AM
SSCK 9500, Burnaby
Instructor:Mary Catherine Kropinski
1 778 782-5683
Prerequisites:MATH 240 or 232, and 251. MATH 240 or 232 may be taken concurrently.
Vector calculus, divergence, gradient and curl; line, surface and volume integrals; conservative fields, theorems of Gauss, Green and Stokes; general curvilinear coordinates and tensor notation. Introduction to orthogonality of functions, orthogonal polynomials and Fourier series. Students with credit for MATH 254 may not take MATH 252 for further credit Quantitative.
Vectors and vector-valued functions:
- review of vector algebra, scalar and vector fields
- tensor notation
- acceleration and curvature, geometry of curves and Frenet formulas.
- simply connected domains
- conservative and solenoidal fields and their potentials
- orientable surfaces and surface integrals
- volume integrals
- Green's theorem, the divergence theorem and Stokes theorem
- Applications and consequences of the Fundamental theorem of vector analysis.
- Gradient, divergence, curl and Laplacian in cylindrical, spherical and generalized orthogonal curvilinear coordinates.
- Homework (approximately 10 weekly assignments) 20%
- Midterm 30%
- Final Exam 50%
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.
Introduction to Vector Analysis
Harry F. Davis and Arthur David Snider
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