Simon Fraser University
Engaging the World

Course Outlines

Spring 2022 - MATH 130 D100

Geometry for Computer Graphics (3)

Class Number: 6509

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 10 – Apr 11, 2022: Wed, 1:30–2:20 p.m.
    Surrey

    Jan 10 – Apr 11, 2022: Fri, 12:30–2:20 p.m.
    Surrey

  • Exam Times + Location:

    Apr 24, 2022
    Sun, 7:00–10:00 p.m.
    Surrey

  • Prerequisites:

    Pre-Calculus 12 or Foundations of Mathematics 12 (or equivalent) with a grade of at least B, or MATH 100 with a grade of at least C.

Description

CALENDAR DESCRIPTION:

An introductory course in the application of geometry and linear algebra principles to computer graphical representation. Vector and matrix algebra, two and three dimensional transformations, homogeneous coordinates, perspective geometry. Quantitative.

COURSE DETAILS:

The aim of this course is to introduce students to the practical application of mathematical methods to computer graphics representation. While the emphasis is on the mathematical language embedded within computer code, routines and objects rather than on the provision of specific algorithms, every attempt will be made to connect the subject material to applications in disciplines other than mathematics.

This class covers many of the mathematical concepts which form the basis of modern computer graphics. We will begin with mathematical descriptions of place by reviewing trigonometry and polar coordinates and introducing vectors and their applications in two and three dimensions. Next we learn about transformations both as functions of multiple variables and using matrices. Special attention will be paid to homogeneous coordinates and perspective. Finally we use concepts from calculus to understand motion and interpolation. This includes space curves, derivatives and tangents as well as constructing parabolic motion via integration. We will learn about linear interpolants and Bezier curves. Fractals and their use in design and landscape generation will be covered if time permits.

Course Delivery

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

Grading

  • Weekly online assignments using Mobius 15%
  • Weekly journal 10%
  • Weekly group assignments 20%
  • Unit Test I 10%
  • Unit Test II 10%
  • Unit Test III 10%
  • Individual assignments 15%
  • Participation 10%

NOTES:

A minimum score of 30% on each of the unit tests is required to pass the class

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:

  • Access to strong and reliable internet.
  • Ability to scan documents (phone app acceptable)
  • Access to webcam and microphone (embedded in computer sufficient)

Materials

REQUIRED READING:

Course notes will be provided

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 SPRING 2022

Teaching at SFU in spring 2022 will involve primarily in-person instruction, with safety plans in place.  Some courses will still be offered through remote methods, and if so, this 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 spring 2022 term.