Fundamental mathematical problems with the idea of wavelets for senior undergraduate and graduate students in mathematics, engineering, physics, and laptop science. Combinatorial analysis, axioms of chance, conditional likelihood and independence, discrete and continuous random variables, expectation, limit theorems, further matters. Students who have handed both MATH 414 or 418 might not schedule this course for credit score. Review of algebra and trigonometry; analytic geometry; capabilities; limits; derivatives, differentials, applications; integrals, applications.

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