Simon Fraser University
Engaging the World

Course Outlines

Fall 2018 - MACM 204 D100

Computing with Calculus (2)

Class Number: 4345

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 4 – Dec 3, 2018: Tue, 2:30–3:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 13, 2018
    Thu, 12:00–3:00 p.m.
    Burnaby

  • Prerequisites:

    One of CMPT 102, 120, 126, 128 or 130 and MATH 251. MATH 251 can be taken as a corequisite. Students in excess of 80 units may not take MACM 204 for further credit.

Description

CALENDAR DESCRIPTION:

Using a mathematical software package for doing computations from calculus. Development of computer models that analyze and illustrate applications of calculus. All calculations and experiments will be done in the Maple software package. Topics include: graphing functions and data, preparing visual aids for illustrating mathematical concepts, integration, Taylor series, numerical approximation methods, 3D visualization of curves and surfaces, multi-dimensional optimization, differential equations and disease spread models. Quantitative.

COURSE DETAILS:

Please note lab sections, times, and locations:
D101: Wednesday 2:30-3:20pm; WMC 2531
D102: Wednesday 3:30-4:20pm; WMC 2501

Course Outline:

Maple and single variable calculus

  • graphing functions and derivatives
  • graphing curves in the plane 
  • solving equations exactly and numerically
  • factoring polynomials
  • calculating integrals exactly and numerically
  • application to measuring river flow

Programming and Maple library packages
  • loops and procedures
  • lists, sets and arrays
  • graphics programming tools
  • the LinearAlgebra package
  • the GraphTheory package
  • simulating a web surfer
  • simulating mortgage payments

Multivariate calculus
  • graphing curves and surfaces in 3D
  • partial derivatives and critical points
  • solving systems of equations
  • Taylor series, tangent planes and visualization

Differential equations and modeling
  • initial value problems
  • algebraic and numerical methods
  • Newton's law of cooling
  • modeling a mortgage
  • compartment models
  • the SIR disease spread model
  • visualization tools

Grading

  • Assignments 50%
  • 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:

There is no textbook required.

RECOMMENDED READING:

Understanding Maple 
Ian Thompson, Cambridge University Press
Printed version ISBN 978-1-316-62814-0
Ebook version  ISBN 978-1-316-98172-6  availble from ebooks.com

*Note: This book is not available at SFU Bookstore
ISBN: 978-1-316-62814-0

Maple, Student edition, from www.maplesoft.com

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/s10-01.html

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS