EEL 3105 - Analytical Methods in Electrical Engineering
Catalog Description:(3cr) Application of calculus to develop the analytical tools used in electrical engineering. Real and complex functions; linear spaces, eigenvalue problem; linear differential operators; approximation, curve-fitting, interpolation. .
Prerequisites: Calculus III and a programming language, co-requisites Differential Equations and Introduction to Signals & Systems
Textbook: Advanced Engineering Mathematics with Matlab, T.L. Harman, J. Dabney, and N. Richert, second edition, Brooks/Cole 2000., ISBN 0-534-37164-7.
Course Objective: To introduce the analytical and mathematical fundamentals of the electrical and computer engineering curriculum. The course prepares students for junior and senior level courses in the areas of control systems, communications, and signal processing.
Professional Component: 3 credits of Engineering Science
Relationship to Outcomes: (To view how the outcomes of this course fit in with the curriculum, click here)
- EE2 - knowledge of mathematics, basic and engineering sciences necessary to analyze and design complex systems
- EE3 - knowledge of advanced mathematics including linear algebra, complex variables and differential equations
- a - an ability to apply knowledge of mathematics, science, and engineering
- e - an ability to identify, formulate, and solve engineering problems
Class Schedule: 3 classes per week of 50 minutes each
Topics:
- Introduction; solving equations involving sinusoids and exponentials
- Complex numbers, complex vectors, inner products
- Matrices and linear algebra
- Eigenvalues and eigenvectors
- Polynomials, rational functions, and partial fraction decompositions.
- Complex valued functions of a complex variable.
- Linear differential equations
- Approximation and interpolation of functions
Course Committee: Dr. Hammer, Chair, Dr. Heitman, Dr. Fox, Dr. Slatton
University of Florida 