Dan O. Popa, Linear Systems EE 3317, Spring 2009

Week 2, Lectures 2-3: ReviewThese lectures cover math concepts related to:

- White Box Systems Examples: RLC circuit, MSD mechanical system

- 1st order ODE equations – solving- Review of Taylor series, derivation, integration- Complex numbers and examples, rings and fields- Rational polynomials fractions and partial fraction

expansions- Vectors and matrices, vector spaces, linear mappings- Systems of linear equations

Dan O. Popa, Linear Systems EE 3317, Spring 2009

Week 2, Lectures 2-3: ReviewMATLAB functions:

- Simple commands: whos (who), clear, clf, clc, load, save, print, plot (xlabel, ylabel, xlim, ylim, semilogx, semilogy, plot3, contour, legend, )

- Complex numbers: real, imag, conj, abs, angle, log, log10, cart2pol, pol2cart

- PFE: residue- Vector operations, element by element operations,

matrices, matrix operations (inv, det).

Dan O. Popa, Linear Systems EE 3317, Spring 2009

Week 2, Lectures 2-3: Reading and Practice

Reading for week 2:- Chapter B, Lathi textbook, including:

- MATLAB session B- B.7 tables- B.1-2 – complex numbers- B-5 – PFE- B-6, B-4 – Vectors and Matrices- B-2, B-3 – sinusoids and sketching signals

- Example exercises:- B.1, B.2: polar to cartesian, cartesian to polar conversion- B.3, B.4: multiplication/division and addition/subtraction of complex

numbers- B.5 – Functions of complex variable- B.8, B.9, B.10 – Partial fraction expansions- B.12, B.13 – Matrix operations