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Course Criteria
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4.00 Credits
Vectors in n-space, differential calculus in several variables, vector fields, integration and its applications in several variables, line, surface, volume, and flux integrals. Green's, Stokes', and the divergence theorems. Prerequisite: MATH 202. Offered every Fall semester.
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4.00 Credits
Topics in sets, logic, elementary counting including permutations and combinations, finite probability, sequences and mathematical induction. Prerequisite: MATH 201 or 201B. Offered every semester.
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4.00 Credits
How can we measure and analyze justice, fairness, and equity in our society? How can we use such analysis to determine how to better ourselves and the society in which we live? Jordan Ellenberg describes math as "an atomic-powered prosthesis that you attach to your common sense"; in this course, you will develop your prosthesis and use it to analyze and improve the world around you. (WCore: WCSBS & QE)
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1.00 Credits
Prerequisite: consent of mathematics faculty. Offered on sufficient demand.
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2.00 Credits
From Pythagoras to Xenakis, musicians throughout the centuries have studied and utilized the mathematical properties and structure of music. This course will explore topics in the intersection of mathematics and music, including acoustics, tunings, harmonies, rhythm, and form. There are no strict prerequisites; however, it would be helpful for students to have some background in either music or math (but not necessarily both).
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2.00 Credits
This course uses a problem oriented approach to develop the combinatorial concepts of strings, permutations, combinations, distributions, and partitions. Counting methods of inclusion-exclusion, recurrence relations, generating functions, and the Polya-Redfield method will be discussed.
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1.00 Credits
Preparation for the William Lowell Putnam Mathematical competition. May be taken twice for credit. Prerequisites: MATH 211. Offered every Fall semester.
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4.00 Credits
Introduction to probability theory including combinatorial analysis, conditional probability, discrete and continuous random variables, expectation and variance, jointly distributed random variables, and sampling theory. Prerequisites: MATH 202. Offered every odd fall semester.
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4.00 Credits
Rigorous treatment of Euclidean space, linear systems, theory of Gaussian elimination, determinants, and inverses. General vector spaces, linear transformations, quadratic forms, and least squares. Eigenvalues and eigenvectors, diagonalization. Includes Matlab programming. Prerequisites: MATH 201 or 201B, 210, 211. (4)
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4.00 Credits
Sets, relations, and functions. Number theory, Rings, fields and groups. Galois theory. Prerequisites: MATH 203, 210, 211. Offered every Spring semester.
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