Spring 2023 - MATH 252 D100
Vector Calculus (3)
Class Number: 5251
Delivery Method: In Person
Course Times + Location:
Mo, We, Fr 8:30 AM – 9:20 AM
RCB 8100, 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.
- 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.
This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).
MATERIALS + SUPPLIES:
Introduction to Vector Analysis
Harry F. Davis and Arthur David Snider
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.
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