# Fall 2020 - MATH 130 D200

## Overview

• #### Course Times + Location:

Tu 2:30 PM – 4:20 PM
REMOTE LEARNING, Burnaby

Fr 3:30 PM – 4:20 PM
REMOTE LEARNING, Burnaby

• #### Exam Times + Location:

Dec 15, 2020
7:00 PM – 10:00 PM
REMOTE LEARNING, Burnaby

• #### 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:

This course will be delivered online. 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.

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

•  Lecture: synchronous- lectures will be held at fixed times, on-line
•  Midterm(s): synchronous; date: TBA
•  Final exam: synchronous; date: TBA

• 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%
• Group projects 15%
• Individual course project 10%
• NOTE: A minimum score of 30% on each of the unit tests is required to pass the class.

#### 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:

• Ability to scan documents (phone app acceptable)

## Materials

Course notes will be provided