Simon Fraser University
Engaging the World

Course Outlines

Spring 2025 - MATH 130 D400

Geometry for Computer Graphics (3)

Class Number: 4781

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 9, 2025: Wed, 1:30–2:20 p.m.
    Surrey

    Jan 6 – Apr 9, 2025: Fri, 12:30–2:20 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.

Grading

  • Participation (group problems in class & practice Crowdmark uploads) 5%
  • Written Homework 20%
  • Mobius Assignments (including "Lesson") 20%
  • Midterm 1 12.5%
  • Midterm 2 12.5%
  • Final Exam 30%

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.

REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient). 

Materials

REQUIRED READING:

Course notes will be provided

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website 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

RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.