# Linear Algebra and Vector Calculus ELEX 7120

Electrical and Computer Engineering Course

International Fees

International fees are typically three times the amount of domestic fees. Exact cost will be calculated upon completion of registration.

## 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.

### Credits

3.0

Not offered this term

## 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 with a co-op option.

### School of Energy

1. Electronics
Bachelor of Technology Part-time

• Privacy Notice: The information you provide will be used to respond to your request for BCIT program 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 V5G 3H2, email: privacy@bcit.ca.
• This field is for validation purposes and should be left unchanged.

## Subscribe

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

• 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.