Spring 2022 - MATH 252 D100
Vector Calculus (3)
Class Number: 6501
Delivery Method: In Person
Course Times + Location:
Mo, We, Fr 8:30 AM – 9:20 AM
BLU 10011, Burnaby
Exam Times + Location:
Apr 19, 2022
3:30 PM – 6:30 PM
WMC 3260, Burnaby
1 778 782-4258
Prerequisites:MATH 240 or 232, and 251, all with a minimum grade of C-. 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.
- Midterm(s): synchronous; date: TBA
- Final exam: synchronous; date: TBA
- Assignments and quizzes 40%
- Midterms (2) 30%
- Final Exam 30%
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 + SUPPLIES:
- Access to strong and reliable internet.
- Ability to scan documents for homework/ exams (phone app acceptable)
- Access to webcam and microphone (embedded in computer sufficient)
Introduction to Vector Analysis
Harry F. Davis and Arthur David Snider
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