Simon Fraser University
Engaging the World

Course Outlines

Summer 2022 - MATH 251 D100

Calculus III (3)

Class Number: 3767

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 10 – Aug 8, 2022: Mon, Wed, Fri, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Aug 14, 2022
    Sun, 3:30–6:30 p.m.
    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:

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

Grading

  • Quizzes 15%
  • Online Assignments (WebAssign) 5%
  • Midterm 1 15%
  • Midterm 2 15%
  • Final Exam 50%

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 2022

Teaching at SFU in summer 2022 will involve primarily in-person instruction.  Some courses may be offered through alternative methods (remote, online, blended), and if so, this will be clearly identified in the schedule of classes. 

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, online, or blended courses 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 summer 2022 term.