Introduction to differential and difference equations. Linear constant-coefficient differential
and difference equations. Homogeneous and particular solution of linear differential and difference
equations with constant coefficients. The Laplace and z-transforms and their applications to solution of
systems governed by differential and difference equations. Numerical methods to solve differential equations.
Introduction to partial differential equations. Elementary of continuous-time (CT) and discrete-time
(DT) signals and systems: classification of signals and system properties. Representation of discrete
and continuous linear time invariant (LTI) systems in the time domain with response developed via the
convolution sum and the convolution integral.
Core text
Lathi, B. P., “Signal Processing and Linear Systems”, Berkeley-Cambridge Press, 1998