Simon Fraser University
Engaging the World

Course Outlines

Spring 2020 - MATH 251 D100

Calculus III (3)

Class Number: 3696

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 9, 2020: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Exam Times + Location:

    Apr 14, 2020
    Tue, 8:30–11:30 a.m.
    Burnaby

  • Prerequisites:

    MATH 152; 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:

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

Grading

  • Quizzes 10%
  • Online Homework 5%
  • Midterm 1 17.5%
  • Midterm 2 17.5%
  • 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:

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

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS