Spring 2022 - MATH 252 D100

Vector Calculus (3)

Class Number: 6501

Delivery Method: In Person

Overview

  • 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

  • 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:

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.

COURSE DETAILS:

Topics covered
Vectors and vector-valued functions:

  • review of vector algebra, scalar and vector fields
  • tensor notation
  • acceleration and curvature, geometry of curves and Frenet formulas.
Line, surface and volume integrals:
  • simply connected domains
  • conservative and solenoidal fields and their potentials
  • orientable surfaces and surface integrals
  • volume integrals
Integral theorems of vector calculus:
  • Green's theorem, the divergence theorem and Stokes theorem
  • Applications and consequences of the Fundamental theorem of vector analysis.
General curvilinear coordinates:
  • Gradient, divergence, curl and Laplacian in cylindrical, spherical and generalized orthogonal curvilinear coordinates.
Introduction to orthogonality of functions, orthogonal polynomials and Fourier series.

COURSE DELIVERY

  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA


Grading

  • Assignments and quizzes 40%
  • Midterms (2) 30%
  • 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

MATERIALS + SUPPLIES:

The class will run in-person. However, given the ongoing unpredictability induced by the pandemic, it is prudent to plan for various eventualities. Ensure that you have:
  • 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)
 

REQUIRED READING:

Introduction to Vector Analysis
7/E
Harry F. Davis and Arthur David Snider
Hawkes Publishing
ISBN: 9780697160997

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity web site 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

TEACHING AT SFU IN SPRING 2022

Teaching at SFU in spring 2022 will involve primarily in-person instruction, with safety plans in place.  Some courses will still be offered through remote methods, and if so, this will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the spring 2022 term.