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 2018

Below is one offering of this course for the Winter 2018 term.

CRN 47283

Wed Jan 03 - Wed Apr 18 16 Weeks

Class Meeting Times

Dates Days Times Locations
Jan 03 - Apr 18 Wed 18:30 - 21:30 BBY SW01 Rm. 1025


Andrew McConnell

Course Outline




  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.

This course offering is in progress. Please check back next term or subscribe to receive email updates.

In Progress

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

Books & Supplies

The BCIT bookstore carries textbooks, general reference books, software, and stationery. Please visit for more information.

Winter 2018

Books for Winter 2018 offerings of this course are available in the following BCIT online bookstores. Please choose the bookstore appropriate for the offering you are considering.

BCIT Burnaby Bookstore

If you are taking this course, but are not taking it through either Distance Education or Online Learning, nor at the BCIT Downtown Campus (DTC), please purchase books for this course at the BCIT Burnaby Bookstore.

Image not available
Multivariable Calculus For Electrical Technology Book 4
Author Hiob
Copyright 2015
Binding Spiral
Price $46.50


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Contact Information

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Registration News

Registration is currently open for the Winter 2018 term.

A sneak preview of Spring/Summer 2018 term courses is also now available here.

Students may register for Spring/Summer 2018 term courses online, by phone, mail or in-person starting Wed, Feb 21 at 9:00 am (PST).

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.

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