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Math 262 / CME 372: Applied Fourier Analysis<br> and Elements of Modern Signal Processing

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Description: The main goal of this course is to expose students to the mathematical theory of Fourier analysis, and at the same time, to some of its many applications in the sciences and engineering. In particular, the Fourier transform arises naturally in a number of imaging problems as in the theory of diffraction, magnetic resonance imaging (MRI), computed tomography (CT) and we shall explain how this happens. This course covers a broad range of topics and might be of interest to mathematicians and engineers alike. Prerequisite: This is an upper-division undergraduate and/or lower-division graduate course. Some prerequisites include linear algebra (Math 104), real analysis (Math 115) and probability theory (Stats 217). Assignments would typically involve a fair amount of scientific programming in any language you like (e.g. Python, Julia, R, Matlab) together with more classical exercises. Syllabus: Textbooks: Handouts: All handouts will be posted online. Course assistant and offi

Description: The main goal of this course is to expose students to the mathematical theory of Fourier analysis, and at the same time, to some of its many applications in the sciences and engineering. In particular, the Fourier transform arises naturally in a number of imaging problems as in the theory of diffraction, magnetic resonance imaging (MRI), computed tomography (CT) and we shall explain how this happens. This course covers a broad range of topics and might be of interest to mathematicians and engineers alike. Prerequisite: This is an upper-division undergraduate and/or…

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