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MTHE 334 Math Methods For Engrg & Phys Units: 3.50
Banach and Hilbert spaces of continuous- and discrete-time signals; spaces of continuous and not necessarily continuous signals; continuous-discrete Fourier transform; continuous-continuous Fourier transform; discrete-continuous Fourier transform; discrete-discrete Fourier transform; transform inversion using Fourier series and Fourier integrals.
NOT OFFERED 2024-2025
(Lec: 3, Lab: 0, Tut: 0.5)
NOT OFFERED 2024-2025
(Lec: 3, Lab: 0, Tut: 0.5)
Offering Term: F
CEAB Units:
Mathematics 28
Natural Sciences 0
Complementary Studies 0
Engineering Science 14
Engineering Design 0
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Constructing or verifying discrete- and continuous-times signals with prescribed behaviour in the time-domain.
- Constructing or verifying discrete- and continuous-times signals with prescribed behaviour in the frequency-domain.
- Understanding discrete- and continuous-time signal spaces with ∞- and Lp-norms.
- Understanding the four Fourier transforms and how they are related and not related.
- Understanding and explaining the role of Lebesgue measure in continuous-time signal analysis.
- Proving relationships between spaces of discrete- and continuous-time signals