# EECS 145 Electrical Engineering Analysis (2016-2017)

#### EECS 145 Electrical Engineering Analysis

**EECS 145 Electrical Engineering Analysis (Credit Units: 4)** Vector calculus, complex functions and linear algebra with applications to electrical engineering problems. Prerequisite: Mathematics 3D. Computer Engineering and Electrical Engineering majors have first consideration for enrollment. (Design units: 0)

- Glyn James, Modern Engineering Mathematics, Prentice Hall Higher Education, 2007.
- Michael D. Greenberg, Advanced Engineering Mathematics, 2nd edition, 1988, Prentice Hall, Upper Saddle River, New Jersey.
- James W. Brown and Ruel V. Churchill, Complex Variables and Applications, 7th edition, 2004, McGraw-Hill, New York.

1. Understand line and surface integral calculus.

2. Understand and apply gradient, curl, and divergence operators.

3. Understand and apply eigenvalue problems in a matrix.

4. Solve system of linear differential equations.

5. Understand the basics of a function of a complex variable and integration in a complex plane.

Knowledge differential and integral calculus, vector calculus, complex numbers, ordinary differential equations, and basic matrix theory.

- Vector Calculus: derivatives of a scalar function and a vector unction, gradient, curl and divergence theorems, line, surface and volume integrations, application to electromagnetic theory.
- Linear Algebra: eigenvalue problem, matrix reduction to canonical form, function of a matrix, solution of the state equation, application to EE problems.
- Complex Functions: complex functions and mappings, complex differentiation, singularities, zeros and residues, contour integration, and applications to boundary value problems and circuit theory.

Meets for 3 hours of lecture and 1 hour of discussion each week for 10 weeks.

None.

None.

Contributes toward Mathematics and Basic Science.

- Weekly Homework: 20%
- Midterms (two): 40%
- Final Exam: 40%
- Total: 100%

Mathematics and Basic Science: 4.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units