Applied Real Analysis
Division III; Quantative/Formal Reasoning;
This is not the current course catalog
Real Analysis is the underlying theory of calculus and is hence the study of limits. This course will study limits in the context of Fourier Analysis, which is one of the major tools of modern mathematics. (Applications of Fourier Analysis range from the abstract study of the distribution of prime numbers to the quite practical construction of mpeg files in an iPod.) By the end of the semester we will be using the theoretical machinery of limits as applied to Fourier series to understand some of the basic differential equations of science, such as the wave equation and, possibly, the heat equation.
The Class: Type: lecture
Requirements/Evaluation: evaluation will be based primarily on exams, homework and quizzes
Prerequisites: MATH 150 and MATH 250, or permission of instructor
Distributions: Division III; Quantative/Formal Reasoning;