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.
- 50% in ELEX 7020
Below is one offering of ELEX 7120 for the Winter 2023 term.
Wed Jan 04 - Wed Apr 19 (16 weeks)
- 16 weeks
- CRN 47283
Class meeting times
|Jan 04 - Apr 19||Wed||18:30 - 21:30||Burnaby SW01 Rm. 1025|
Registrants who are not BTech Electronics students must have approval from the program head. Please contact Katie Howard at 604-432-8237 or firstname.lastname@example.org 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.
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
Linear Algebra and Vector Calculus (ELEX 7120) is offered as a part of the following programs:
School of Energy
Bachelor of Technology Part-time
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