Fall 2016 is my last semester. I only need 10 credits (with classes generally being 3 or 4 credits) and I can basically take whatever I want. I've got my schedule mostly worked out (with astronomy and philosophy stuff) but I have room for another class. There are literally no restrictions on what I can take (ignoring prereqs and stuff) but for some reason I'm leaning toward an upper level math course. The two that seem most interesting to me are:
The signal processing class is probably more useful from either an astronomy or employment perspective, but the geometry class sounds like it might be more interesting (and maybe have some relevance to general relativity's crazy geometry, but I'm not sure). However, the geometry professor is apparently ****tier than the signal processing professor. Both would likely be hard.
Alternatively, I could actually try to have a reasonably easy final semester and take some variety of underwater basket-weaving. Anybody have thoughts on what kind of college course you would take if you could take any that you wanted to? The class you regretted not taking? The class you absolutely need to take before you get out of school? Monkeys.
Math 416 - Applied Harmonic Analysis: An Introduction to Signal Processing
The goal of this course is to introduce the students to the modern mathematical techniques which are applied in signal processing and which are used in a variety of areas, ranging from engineering to medicine and finance. Topics include: Applied Linear Algebra, Fourier Series, Discrete Fourier Transform, Fourier Transform, Shannon Sampling Theorem, Wavelet Bases, Multiresolution Analysis, and Discrete Wavelet Transform. Emphasis will be placed upon mathematical foundations of applicable algorithms, as well as on the ability to implement these algorithms.
The goal of this course is to introduce the students to the modern mathematical techniques which are applied in signal processing and which are used in a variety of areas, ranging from engineering to medicine and finance. Topics include: Applied Linear Algebra, Fourier Series, Discrete Fourier Transform, Fourier Transform, Shannon Sampling Theorem, Wavelet Bases, Multiresolution Analysis, and Discrete Wavelet Transform. Emphasis will be placed upon mathematical foundations of applicable algorithms, as well as on the ability to implement these algorithms.
Math 430 - Euclidean and Non-Euclidean Geometries
Hilbert's axioms for Euclidean Geometry. Neutral Geometry: The consistency of the hyperbolic parallel postulate and the inconsistency of the elliptic parallel postulate with neutral geometry. Models of hyperbolic geometry. Existence and properties of isometries.
Hilbert's axioms for Euclidean Geometry. Neutral Geometry: The consistency of the hyperbolic parallel postulate and the inconsistency of the elliptic parallel postulate with neutral geometry. Models of hyperbolic geometry. Existence and properties of isometries.
The signal processing class is probably more useful from either an astronomy or employment perspective, but the geometry class sounds like it might be more interesting (and maybe have some relevance to general relativity's crazy geometry, but I'm not sure). However, the geometry professor is apparently ****tier than the signal processing professor. Both would likely be hard.
Alternatively, I could actually try to have a reasonably easy final semester and take some variety of underwater basket-weaving. Anybody have thoughts on what kind of college course you would take if you could take any that you wanted to? The class you regretted not taking? The class you absolutely need to take before you get out of school? Monkeys.
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