Simon Fraser University
Engaging the World

Course Outlines

Fall 2021 - MACM 204 D100

Computing with Calculus (2)

Class Number: 1191

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 8 – Dec 7, 2021: Thu, 2:30–3:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 16, 2021
    Thu, 7:00–10:00 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:

This course will be delivered in person, subject to provincial guidelines. Though if lectures and labs cannot be in person, 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.

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

Course Delivery

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

Grading

  • Assignments (5 Assignments, Weighted Equally) 50%
  • Final Exam 50%

NOTES:

Online course delivery and exam invigilation policy
Because of the current Covid-19 situation, student participation in this course will require computer equipment and a reliable internet connection.  You may be requested to turn on audio and/or video during certain instructional activities that may include tests and examinations, though exceptions can be accommodated. If you request such an exception for personal reasons, you must do so in writing to the course instructor by September 20, 2020.

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.

REQUIREMENTS:

Technical requirements:       

  • Desktop or Laptop Computer      
  • High-speed Internet connection
  • Student license for Maple software system (price discount will be available at the start of the semester) 
  • Webcam - one which is built-in to your computer or one that connects to your computer via USB
  • Microphone – built-in to your computer or USB plug-in or wireless Bluetooth       
  • Scanner or camera to take pictures of your written work for upload to Crowdmark     

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

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 FALL 2021

Teaching at SFU in fall 2021 will involve primarily in-person instruction, with approximately 70 to 80 per cent of classes in person/on campus, with safety plans in place.  Whether your course will be in-person or through remote methods will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

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 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 fall 2021 term.