British Columbia Institute of Technologywww.bcit.ca/study/courses/math7908

# MATH 7908 - Linear Algebra and Applications for Computing

## Mathematics Part-time Studies Course

### School of Computing and Academic Studies

BCIT is planning for a substantial return to on-campus activity for the fall 2021 term as informed by BC Public Health Officer guidelines. Refer to each course listing for details.

# Course Details

This course covers the basics of linear algebra and related topics, including vector algebra with its application to 3D geometry, matrix algebra with application to solving systems of linear equations, complex numbers/ vectors and discrete Fourier Transforms. Matrix topics will include linear transformations, eigenvalues and eigenvectors, similarity of matrices and applications of these. Concepts such as vector spaces, inner product spaces, and symmetric and orthogonal matrices are also introduced. Computer algorithms for performing various matrix operations and calculations and discrete Fourier Transforms will be explored.

## Prerequisite(s)

Acceptance into CST BTech program. ​

3.0

\$682.60

# Winter 2022

Below is one offering of this course for the Winter 2022 term.

# CRN 86216

Sat Jan 08 - Sat Mar 26 12 Weeks

## Class Meeting Times

 Dates Days Times Locations Jan 08 - Mar 26 Sat 09:00 - 12:45 BBY SW01 Rm. 2004

## Course Outline

TBD – see Learning Outcomes in the interim

\$682.60

## Notes

1. Prerequisite: Acceptance into CST BTech program. THIS COURSE WILL BE DELIVERED IN-PERSON.

# Learning Outcomes

Upon successful completion of this course, the student will be able to:

• Solve systems of linear equations using common analytical and numerical matrix-based methods.
• Perform matrix algebra calculations using +, -, ×, inversion, determinants and other common matrix operations.
• Illustrate the use of vectors in 2- and 3-D space and the associated algebra of vectors, including the norm of a vector, vector arithmetic, and the dot/cross products with applications of vectors to lines and planes in 3-D space.
• Use complex numbers, including complex vectors and matrices including quaternions.
• Calculate the eigenvalues and eigenvectors of a matrix and apply to diagonalization of matrices.
• Implement common computer algorithms for matrix calculations, such as decomposition, discrete Fourier Transforms and solving systems of equations.
• Explain the function of Fourier transforms.
• Explain general vector spaces and find the basis of a vector space along with its associated characteristics.
• Determine transformations, mappings and projections between vector spaces.
• Use matrices in an applied context, e.g. computer graphics, cryptography, principal component analysis, signal filter, etc..

Effective as of Fall 2018

# Related Programs

MATH 7908 is offered as a part of the following programs:

## School of Computing and Academic Studies

1. Computer Systems (Games Development Option)
Full-time   Bachelor of Technology
2. Computer Systems (Network Security Applications Development)
Full-time   Bachelor of Technology
3. Computer Systems (Database Option)
Part-time   Bachelor of Technology
4. Computer Systems (Human Computer Interface Option)
Part-time   Bachelor of Technology
5. Computer Systems (Network Security Administration Option)
Part-time   Bachelor of Technology
6. Computer Systems (Network Security Applications Development Option)
Part-time   Bachelor of Technology
7. Computer Systems (Wireless and Mobile Applications Development Option)
Part-time   Bachelor of Technology

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Registration is now open for the Winter 2022 term.

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