At the time of the first exam in EE422, you should be able to perform the following objectives:

· Perform relevant EE421 objectives (Lecture #1 and review HW#1)

· Derive the Laplace transform from the Fourier transform (Lecture #2)

· Derive and apply properties of the Laplace transform (Lecture #2, HW#2 and HW#3)

· Understand and evaluate the region of convergence of Laplace transforms (Lecture #3 and HW#3)

· Derive and apply the Final Value Theorem (HW#2)

· Understand the relationship between the Laplace transform and Fourier transform ( Lecture #3 and HW#3)

· Find the Laplace transform of functions which are periodic for t > 0 (Lecture #3 and HW#3)

· Find the Laplace transform of functions which are non-zero for all time (Lecture #3 and HW#3)

· Find frequency domain models of circuits and systems including models for initial conditions (Lecture #4 and HW#4)

· Find transfer functions directly from circuits including multi-input, multi-output circuits (Lecture #4 and HW#4)

· Obtain Bode plots from transfer functions (Lecture #5 and HW#5)

· Obtain Bode plots from steady-state sinusoidal plots (Lecture #5 and HW#5)

· Obtain Bode plots for underdamped second-order terms (Lecture #5 and HW#5)

· Obtain transfer functions from Bode plots (Lecture #5 and HW#5)

· Find sinusoidal steady-state responses from Bode plots (HW#5 and HW#7)

· Obtain block diagrams of systems (Lecture #6 and HW#6)

· Obtain transfer functions from block diagrams (Lecture #6 and HW#6)

· Utilize negative feedback to force systems to track reference inputs (HW#6)

· Employ feedback to stabilize systems (HW#7)

· Use MATLAB to (Lecture #7 and HW#7):

- Find Bode Plots and determine bandwidth

- Determine the step response of systems and determine steady-state error and settling time (2%)

- Plot root loci and thereby determine gain values to meet control specifications

· Determine the stability of systems from impulse responses and transfer functions (Lecture #8 and HW#8)

· Obtain the State-Variable model for linear circuits and systems (Lecture #8 and HW#8)