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Linear Algebra and Vector Calculus ELEX 7120

Electrical and Computer Engineering Course

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.

Prerequisite(s)

Credits

3.0

Cost

$697.89

Course offerings

Winter 2023

Below is one offering of ELEX 7120 for the Winter 2023 term.

CRN 47283

Duration

Wed Jan 04 - Wed Apr 19 (16 weeks)

  • 16 weeks
  • CRN 47283
  • $697.89
Class meeting times
Dates Days Times Locations
Jan 04 - Apr 19 Wed 18:30 - 21:30 Burnaby SW01 Rm. 1025
Instructor

Andrew McConnell

Course outline

View

Cost

$697.89

Important information
  1. Registrants who are not BTech Electronics students must have approval from the program head. Please contact Katie Howard at 604-432-8237 or khoward18@bcit.ca 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 course cancellation, you will be notified at least two business days prior to the course start. Please ensure that your contact information is current in your myBCIT account.
Status

In Progress

This course offering is in progress. Please check back next term, subscribe to receive email updates or contact us with your comments or questions.

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:

School of Energy

  1. Electronics
    Bachelor of Technology Part-time

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  • Privacy Notice: The information you provide will be used to respond your request for BCIT course information and is collected under Section 26(c) of the Freedom of Information and Protection of Privacy Act (FIPPA). For more information about BCIT’s privacy practices contact: Associate Director, Privacy, Information Access & Policy Management, British Columbia Institute of Technology, 3700 Willingdon Ave. Burnaby, BC V5A 3H2, email: privacy@bcit.ca.