Spring 2021 - MATH 252 D100

Vector Calculus (3)

Class Number: 3526

Delivery Method: Remote

Overview

  • Course Times + Location:

    Mo, We, Fr 8:30 AM – 9:20 AM
    REMOTE LEARNING, Burnaby

  • Exam Times + Location:

    Apr 17, 2021
    12:00 PM – 3:00 PM
    REMOTE LEARNING, Burnaby

  • Instructor:

    Razvan Fetecau
    van@sfu.ca
    1 778 782-3335
  • Prerequisites:

    MATH 240 or 232, and 251. 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:




This course will be delivered online. Y
ou are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.


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

  •  Lecture: synchronous- lectures will be held at fixed times, on-line
  •  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:

Required: 

  • Access to strong and reliable internet.
  • Ability to scan documents (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 2021

Teaching at SFU in spring 2021 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges 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. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.

Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112).