# Tentative Schedule of Lectures ())Continuous-Time(( Topics): EECS 144/244, Fall 2014

**November 2014**2014/11/03 (Mon):

- 2:30-4: Modelling continuous-time systems using differential-algebraic equations. What a circuit is. KCL, KVL and BCRs with simple linear examples. Linearity. A simple circuit with a nonlinear element (diode).

2014/11/05 (Wed): (class given 2014/11/04 5-6:30)

- 2:30-4: Nonlinear circuits. Nodal and modified nodal analysis with examples. Writing circuit equations in standard DAE form. Mechanical equation example in standard DAE form; chemical reactions as reaction-rate differential equations. Standard DAE form with inputs and outputs.

2014/11/10 (Mon):

- 2:30-5: Jacobian matrices and their importance. Glimpse of parsing and equation setup. DC analysis and the ))Newton-Raphson(( method. Solving linear equations (Ax=b) numerically. Sparsity and its importance.

2014/11/12 (Wed):

- 2:30-4: Linear equation solution contd.: Gaussian Elimination and LU factorization.

- 2:30-5: Ax=b solution (contd.) Numerical solution of differential equations (transient simulation).

2014/11/19 (Wed):

- 2:30-4: Transient simulation contd (stability).

- 2:30-5: Transient simulation contd. (stiffness, DAEs, small-timestep error analysis). Linearizing nonlinear equations.

2014/11/26 (Wed):

- 2:30-4: Linearizing nonlinear equations contd. AC analysis. AC frequency sweeps.

**December 2014**2014/12/01 (Mon):

- 2:30-5: Eigenanalysis to find poles and zeros.

2014/12/03 (Wed):

- 2:30-4: Parameter sensitivity analysis.