# EECS 145 Electrical Engineering Analysis (2014-2015)

#### 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. (EAC a, EAC k)

2. Understand and apply gradient, curl, and divergence operators. (EAC a, EAC k)

3. Understand and apply eigenvalue problems in a matrix. (EAC a, EAC k)

4. Solve system of linear differential equations. (EAC a, EAC k)

5. Understand the basics of a function of a complex variable and integration in a complex plane. (EAC a, EAC k)

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