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MATH 335  Mathematics of Engineering Systems  Units: 3.00  
Signal Spaces (Linear Spaces, Banach and Hilbert spaces; Distributions and Schwartz space of signals). Discrete and Continuous Fourier Transforms, Laplace and Z transforms. Linear input/output systems and their stability analysis. Frequency-domain and time-domain analysis of linear time-invariant systems. Applications to modulation of communication signals, linear filter design, and digital sampling.
Learning Hours: 132 (36 Lecture, 12 Tutorial, 84 Private Study)  
Requirements: Prerequisite MATH 281/3.0 and (MATH 228/3.0 or MATH 326/3.0).  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Computing the Fourier transform of a signal.
  2. Solving a difference equation using the z-transform.
  3. Proving results on the Fourier transform.
  4. Proving results on distributions.
  5. Investigating the possibility of signal representations through polynomials, Haar wavelets and harmonic signals.
  6. Mathematical formulation of lowpass filtering and noise removal.
  7. Mathematical analysis of signal sampling.
  8. Using mathematics to develop algorithms for noise removal.