This course describes signals mathematically and understand how to perform mathematical operations on signals, to classify signals as continuous-time vs. discrete time, periodic vs. non-periodic, energy vs. power signal, odd vs. even, and conjugate symmetric vs. anti-symmetric, to understand the notion of an impulse response, to perform the process of convolution between signals and to understand its implication for analysis of linear time-invariant systems, to understand the application of Fourier analysis to ideal filtering, and to develop basic problem-solving skills and to become familiar with formulating a mathematical problem from a general problem statement.