Spring 2018  MATH 251 E100
Calculus III (3)
Class Number: 3022
Delivery Method: In Person
Overview

Course Times + Location:
Mo, We 4:30 PM – 5:50 PM
WMC 3520, Burnaby 
Exam Times + Location:
Apr 22, 2018
7:00 PM – 10:00 PM
SSCC 9001, Burnaby

Instructor:
Steven Ruuth
sruuth@sfu.ca
1 778 7824452

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:
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.
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 Multiterm Enhanced WebAssign [Text + EWA/eBook]
Available through the SFU Bookstore
This package can also be purchased directly from the publisher (with free shipping) at the following link:
http://nelsonbrain.com/micro/SFUmath150_151_152_251
ISBN: 9781305597624
Registrar Notes:
SFU’s Academic Integrity web site http://students.sfu.ca/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/s1001.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS