Prerequisite Course(s) #: EE 202 and Math 273

Prerequisite by topics:

• Solve linear circuits
• Write equations of motion using Newton-Euler's law
• Sketch functions of one independent variable
• Complex number algebra
• Use MATLAB
• Exposure to differential equations, Laplace Transform, Fourier Series
• Matrix algebra

• Provide examples of signals and systems, and categorize them.
• Understand simple signals: unit impulse, unit step, window function, exponential, sinusoidal, decaying sinusoidal.
• Manipulate signals: time-reversal, time scaling, time-shift; linear combination, differentiation, integration.
• Define and determine basic system properties: linearity, time-invariance, causality, memorylessness, BIBO stability.
• Derive input-output models and state space models of physical systems.
• Determine the characteristic polynomial/equation/values/modes of general LTIC continuous-time systems.
• Calculate the zero input response, unit impulse response, zero state response, total response.
• Understand convolution and its properties, calculate convolution by analytic manipulation, graphical convolution, or using Matlab
• Evaluate or simplify signals involving impulse functions or the integration of such signals
• Determine internal stability and BIBO stability of continuous-time LTI systems
• Determine periodicity, find the period and base frequency of periodic signals
• Calculate trigonometric Fourier Coefficients / Fourier Series, determine the Fourier Spectra, exploit symmetry
• Calculate exponential Fourier Coefficients / Fourier Series / Fourier Spectra, understand relations to trigonometric Fourier Series
• Understand the properties of exponential Fourier Coefficients, use them to derive Fourier Coefficients for related signals
• Understand Fourier Transform, the convergence issues, relation to Fourier Series
• Understand the properties of Fourier Transform, use these to derive Fourier Transforms for related signals
• Calculate the Fourier Transform and / or inverse Fourier Transform of common signals
• Understand energy signals, calculate total energy of such signals, understand and use Parseval's Theorem
• Understand basic princeples of modulation, and limits in the reconstructability of continuous time signals from  their sampled values.
• Understand and determine the region of convergence of Laplace Transform
• Use the properties of Laplace Transform to derive Laplace transforms of signals and to perform inverse Laplace Transform
• Use Laplace Transform to obtain the zero-input response, zero-state response, total response
• Find the transfer function of a system and the unit impulse response, determine the stability of a transfer function
• Obtain block diagrams of systems, simplify block diagrams, obtain transfer functions from block diagrams
• Understand frequency response, calculate steady state output responses due to sinusoidal inputs, know the characteristics of low/high/band pass filters
• Understand the concept of feedback and its usefulness in stabilization, disturbance rejection, and change of the closed loop dynamics
• Solve State equations, matrix exponentials in time domain or using Laplace transform
• Perform linear transformation of State equations
• Determine controllability and observability