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MTHE 335 Mathematics of Engineering Systems Units: 3.50
Review of signal spaces arising in systems theory and applications, such as linear spaces, Banach and Hilbert spaces, and distributions. Approximation and representation of signals. Discrete and continuous Fourier Transforms, Laplace and Z transforms. Linear input/output systems and their stability and regularity analysis. Frequency-domain and time-domain analysis of linear time-invariant systems. Applications to modulation of communication signals, linear filter design, system design, control design, and digital sampling.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
Offering Term: W
CEAB Units:
Mathematics 8
Natural Sciences 6
Complementary Studies 0
Engineering Science 14
Engineering Design 14
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Understand input-output systems and their properties such as stability and time-invariance.
- Solve a difference or differential equation using the z-transform or the Laplace transform.
- Prove results on the Fourier transform.
- Prove results on distributions.
- Investigate the possibility of signal representations through polynomials, Haar wavelets and harmonic signals and their use in system theoretic analysis.
- Understand mathematical analysis of signal sampling.
- Design control systems via frequency domain (Fourier/Laplace/Z transform) methods.
- Formulate and design lowpass filters and noise removal algorithms.
- Use mathematics to develop algorithms for noise removal.