This course centers on linear system theory for analog and digital systems; linearity, causality and time invariance; impulse response, convolution and stability; the Laplace, z- transforms and applications to Linear Time Invariant (LTI) systems; frequency response, analog and digital filter design. Topics also include Fourier Series, Fourier Transforms and the sampling theorem. Weekly computer-laboratory projects use analysis- and design-computer packages. The course establishes foundations of linear systems theory needed in future courses; use of math packages to solve problems and simulate systems; and analog and digital filter design. | Prerequisites for Brooklyn Engineering Students: MA-UY 1044, MA-UY 2012/2132 or MA-UY 2034. | Prerequisites for Abu Dhabi Students: MATH-AD 116 and MATH-AD 121. | Prerequisites for Shanghai Students: MATH-SHU 124 and MATH-SHU 140. ABET competencies a, b, c, e, k.