British Columbia Institute of


ELEX 7120 - Linear Algebra and Vector Calculus

Electrical and Computer Engineering Part-time Studies Course

School of Energy

Course Details

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.


ELEX 7121** (** must be taken concurrently)





Winter 2019

Below is one offering of this course for the Winter 2019 term.

CRN 47283

Wed Jan 02 - Wed Apr 17 16 Weeks

Class Meeting Times

Dates Days Times Locations
Jan 02 - Apr 17 Wed 18:30 - 21:30 BBY SW01 Rm. 1025


Andrew McConnell

Course Outline

TBD – see Learning Outcomes in the interim




  1. Students who register in this course must also register into the co-requisite ELEX 7121. Labs to be scheduled outside of class hours, schedule to be determined. Registrants who are not BTech Electronics students must have Program Head approval. Please contact Kelly Voros at 604-451-6892 or for more information or to be placed on a waitlist if the course is full. Note: BCIT reserves the right to cancel courses. In the event of a part-time studies course cancellation, you will be notified at least two business days prior to the course start. Please ensure that your contact information is current.

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

ELEX 7120 is offered as a part of the following programs:

School of Energy

  1. Electronics
    Part-time   Bachelor of Technology


Interested in being notified about future offerings of ELEX 7120 - Linear Algebra and Vector Calculus? If so, fill out the information below and we'll notify you by email when courses for each new term are displayed here.

Contact Information

Suggest course days and times

If you are interested in taking this course on-campus (classroom delivery only) and would like to see it offered on specific days and/or at specific times, please indicate your preferences below. Day and time suggestions are not applicable to online courses.

The personal information on this form is collected under the authority of the College and Institute Act (RSBC 1996, Ch.52). BCIT will use this information to communicate with you regarding relevant BCIT programs, courses and services. This information is only used by authorized BCIT staff. Email communication sent to and from BCIT is routed through the United States of America. If you have any questions about BCIT's collection and use of this information, please contact BCIT’s manager of Information Access and Privacy.

Programs and courses are subject to change without notice.

Find Courses

Payment Changes At BCIT

We've changed the way we accept payments.

Find out more

Course Navigation, Related Links & Tools

Registration News

Registration is now open for the Winter 2019 term.

Classroom Locations

Classroom locations are subject to last minute changes. Please check the Part-time Studies Classroom Locations listing at on the first day of any course you are registered for.

Part-time Studies Financial Aid

Will you be studying at BCIT part-time? Do you need assistance funding your studies? Find out if you qualify for Part-time Studies financial aid ›