# E E-ELECTRICAL ENGINEERING (E E)

**E E 200. Linear Algebra, Probability and Statistics Applications**

**4 Credits (3+3P)**

The theory of linear algebra (vectors and matrices) and probability (random variables and random processes) with application to electrical engineering. Computer programming to solve problems in linear algebra and probability.

**Prerequisite: ** C- or better in ENGR 140 and (MATH 1521G or MATH 1521H or ENGR 190).

##### Learning Outcomes

- Perform vector and matrix operations, including matrix inversion, eigen analysis, finding basis and dimension of vector spaces and rank of a matrix, and solving a set of linear equations.
- Calculate probabilities using probability mass, density, and cumulative distribution functions for single and multiple, discrete and continuous random variables, and relate them to electrical engineering applications.
- Perform simple parameter estimation, such as finding sample mean and variance, and relate to confidence intervals.
- Describe random processes in the context of signal processing and communications systems problems.
- Use MATLAB to solve problems involving linear algebra and probability, including designing and performing simple numerical experiments.

**E E 240. Multivariate and Vector Calculus Applications**

**3 Credits (3)**

Vector algebra, cylindrical and spherical coordinates, partial derivatives, multiple integrals. Calculus of vector functions through electrostatic applications. Divergence, gradient, curl, divergence theorem, Stokes’s theorem, Coulomb’s Law, Gauss’s Law, electric field, electric potential. Applications in Matlab.

**Prerequisite: ** C- or better in (MATH 1521G or MATH 1521H or ENGR 190) and ENGR 140.

##### Learning Outcomes

- Students will demonstrate conceptual understanding of the fundamental principles and theories in vector calculus
- Students will analyze and solve problems using vector calculus in three coordinate systems