Summer 2021 - MATH 251 D200

Calculus III (3)

Class Number: 1405

Delivery Method: Remote

Overview

  • Course Times + Location:

    Mo, We, Fr 9:30 AM – 10:20 AM
    REMOTE LEARNING, Burnaby

  • Exam Times + Location:

    Aug 13, 2021
    12:00 PM – 3:00 PM
    REMOTE LEARNING, Burnaby

  • Prerequisites:

    MATH 152 with a minimum grade of C-; or MATH 155 or MATH 158 with a grade of at least B. Recommended: It is recommended that MATH 240 or 232 be taken before or concurrently with MATH 251.

Description

CALENDAR DESCRIPTION:

Rectangular, cylindrical and spherical coordinates. Vectors, lines, planes, cylinders, quadric surfaces. Vector functions, curves, motion in space. Differential and integral calculus of several variables. Vector fields, line integrals, fundamental theorem for line integrals, Green's theorem. Quantitative.

COURSE DETAILS:



This course will be delivered online.
You 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 Geometry of Space: 

  • Three Dimensional Coordinate System 
  • Vectors 
  • The Dot Product 
  • The Cross Product 
  • Equations of Lines and Planes 
  • Cylinders and Quadric Surfaces

Vector Functions: 
  • Vector Functions and Space Curves 
  • Derivatives and Integrals of Vector Functions 
  • Arc Length and Curvature 
  • Motion in Space

Partial Derivatives: 
  • Functions of Several Variables 
  • Limits and Continuity 
  • Partial Derivatives 
  • Tangent Planes and Linear Approximations 
  • The Chain Rule 
  • Directional Derivatives and the Gradient Vector 
  • Maximum and Minimum Values 
  • Lagrange Multipliers and Constrained Maximum and Minimum Problems

Multiple Integrals: 

  • Double Integrals over Rectangles 
  • Iterated Integrals 
  • Double Integrals over General Regions 
  • Double Integrals in Polar Coordinates 
  • Applications of Double Integrals 
  • Triple Integrals 
  • Triple Integrals in Cylindrical Coordinates 
  • Triple Integrals in Spherical Coordinates 
  • Change of Variables in Multiple Integrals  

Vector Calculus: 
  • Vector Fields 
  • Line Integrals 
  • The Fundamental Theorem for Line Integrals 
  • Green's Theorem

COURSE DELIVERY
    •  Lecture: synchronous- lectures will be held at fixed times, on-line
    •  Midterm(s): synchronous; during selected course time
    •  Office hours: synchronous
    •  Final exam: synchronous; date: TBA

Grading

  • Assignments 15%
  • Online Assignments (WebAssign) 6%
  • Midterm 1 13%
  • Midterm 2 13%
  • Midterm 3 13%
  • Final Exam 40%

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

REQUIRED READING:

Calculus: Early Transcendentals, 8th Edition Textbook, by James Stewart, packaged with Multi-term Enhanced WebAssign [Text + EWA/eBook]

*Please Note: If you have purchased the above package within the last 5 years, do not purchase again!


ISBN: 9781305597624

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 SUMMER 2021

Teaching at SFU in summer 2021 will be conducted primarily through remote methods, but we will continue to have in-person experiential activities for a selection of courses.  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).