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Multivariable Calculus and Dynamic Systems ELEX 7020

Electrical and Computer Engineering Course

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Course details

This course begins with a review of advanced calculus concepts such as functions, limits, continuity, sequences, derivatives and integrals. Partial derivatives, multiple integrals and their applications are then introduced. Ordinary differential equations are covered including first, second and higher order linear differential equations, with an emphasis on modeling engineering systems in the electrical, mechanical, heat transfer, fluid mechanics and control systems fields. Dynamic systems (time as the independent variable) are emphasized throughout the course.

Prerequisite(s)

  • No prerequisites are required for this course.

Credits

3.0

Not offered this term
This course is not offered this term. Please check back next term or subscribe to receive notifications of future course offerings and other opportunities to learn more about this course and related programs.

Learning Outcomes

Upon successful completion of this course, the student will be able to:

  • Outline the fundamental mathematical principles of single and multiple integrals and single, multiple and partial derivatives necessary for engineering analysis.
  • Formulate the initial value and boundary value problems of differential equation theory.
  • Model practical engineering problems such as forced oscillations, resonance, population growth, fluid flow, etc… using differential equations.
  • Investigate the properties of solutions and the effect of parameters on first, second and higher order differential equations.
  • Formulate the partial differential equation problem.
  • Linearize simple nonlinear differential equations.
  • Evaluate the stability of a differential equation and the effect of initial conditions on the behavior.

Effective as of Fall 2011

Related Programs

Multivariable Calculus and Dynamic Systems (ELEX 7020) is offered as a part of the following programs:

School of Energy

  1. Electronics
    Bachelor of Technology Part-time

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