# Linear Algebra and Applications for Computing MATH 7908

Mathematics Course

International Fees

International fees are typically three times the amount of domestic fees. Exact cost will be calculated upon completion of registration.

## 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 the Bachelor of Science in Applied Computer Science (BScACS) program.

4.0

\$815.00

### Winter 2024

Below is one offering of MATH 7908 for the Winter 2024 term.

#### CRN 86216

##### Duration

Wed Jan 03 - Wed Mar 27 (13 weeks)

• 13 weeks
• CRN 86216
• Domestic fees \$815.00
International fees are typically three times the amount of domestic fees.
##### Class meeting times
Dates Days Times Locations
Jan 03 - Mar 27 Wed 18:00 - 21:30 Burnaby SW05 Rm. 2825

##### Course outline

Course outline TBD — see Learning Outcomes in the interim.

4

\$815.00

##### Important information
1. International fees are typically three times the amount of domestic fees. Exact cost will be calculated upon completion of registration.
2. This class meets once a week for 13 weeks @3.5 hours/week plus 1.25 hours/week online component.

## 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

Linear Algebra and Applications for Computing (MATH 7908) is offered as a part of the following programs:

### School of Computing and Academic Studies

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