British Columbia Institute of

Important Notice: COVID-19 Institute response


ELEX 7120 - Linear Algebra and Vector Calculus

Electrical and Computer Engineering Part-time Studies Course

School of Energy

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 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 2022

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

CRN 47283

Wed Jan 05 - Wed Apr 20 14 Weeks

Class Meeting Times

Dates Days Times Locations
Jan 05 - Apr 20 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 in the co-requisite ELEX 7121. Registrants who are not BTech Electronics students must have approval from the program head. Please contact Katie Howard at 604-432-8237 or for more information, or to be placed on a wait-list 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

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