Course Overview
This course covers the basics of vectors, matrices, matrix operations, determinants and linear transformations. Applications to linear algebraic equations and eigenvalue/eigenvector problems are covered, as well as to systems of linear ordinary differential equations. The course then covers vector functions and operators, curvilinear coordinates, line and surface integrals and integral theorems such as Stoke's and Green's theorems.. Applications in circuit theory, control systems, network theory, electromagnetism, robotics, gravitation, and system modeling are emphasized.
Prerequisite(s)
- 50% in ELEX 7020
Credits
3.0
Domestic fees
$771.64
International fees are typically 3.4 times the domestic tuition. Exact cost will be calculated upon completion of registration.
Learning Outcomes
Upon successful completion, the student will be able to:
- Outline the fundamental mathematical properties of vector spaces, matrices and transformations used in mathematical analysis.
- Perform vector calculus operations.
- Model practical engineering problems such as circuit analysis, state space control, mechanical vibrations and robot kinematics and dynamics using matrices.
- Supply physical interpretations of the gradient of a scalar and a vector field, the normal vector, the directional derivative and Laplace's equation.
- Differentiate between conservative and nonconservative vector fields.
- Assess the suitability of different coordinate systems such as Cartesian, polar, cylindrical and curvilinear coordinate systems in mathematical computations.
- Interpret the divergence of a vector field using physical examples such as gravitational force and the motion of a compressible fluid.
- Evaluate the curl of a vector field.
- Evaluate line and surface integrals.
- Apply Green's theorem in the plane to transform a double integral into a line integral.
- Apply Gauss' Divergence theorem to convert a triple integral into a surface integral.
- Apply Stokes' theorem to convert surface integrals into line integrals.
Effective as of Winter 2007
Related Programs
Linear Algebra and Vector Calculus (ELEX 7120) is offered as a part of the following programs:
- Indicates programs accepting international students.
- Indicates programs eligible for students to apply for Post-graduation Work Permit (PGWP).
School of Energy
- Electronics
Bachelor of Technology Part-time
Course Offerings
Winter 2027
Below is one offering of ELEX 7120 for the Winter 2027 term.
CRN 47283
Dates
Jan 06 - Apr 21 Loading
- CRN 47283
- $771.64 Domestic fees
Class meeting times
| Dates | Days | Times | Locations |
|---|---|---|---|
| Jan 06 - Apr 21 | Wed | 18:30 - 21:30 | Burnaby SW01 Rm. 2019 |
Duration
16 weeks
Instructor
Andrew McConnell
Course outline
Course outline TBD — see Learning Outcomes in the interim.
Registration requirements
Departmental approval is required to register for this course offering. You must have approval from the department to register. Students accepted into a program can register directly.
Important information
- Registrants who are not BTech Electronics students must have approval from the program head.
Confirmation
Required
To proceed with registration and add this course to the cart, please confirm:
No approval yet? Request approval You must have approval from the department to register. Students accepted into a program can register directly.
Status
If you have any questions about this course, please contact us.
Programs and courses are subject to change without notice. Find out more about BCIT course cancellations.