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Course Criteria
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40.00 Credits
Participants are required to complete at least 40 hours of community service during the semester. All community service projects must be approved in advance by the course instructor. Participants will give oral weekly reports on their projects and a final written report when the hours have been completed. This course is to be taken concurrently with MATH 495: Senior Seminar.
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3.00 Credits
PRQ: Senior math major or consent of instructor. Scheduled: Spring, yearly. Meets: N.
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0.00 Credits
Mathematics Transfer Meets: MNO
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3.00 Credits
Topics include matrix theory, finite dimensional vector spaces, linear transformations, determinants, systems of equations and applications. PRQ: MATH 130. Scheduled: Fall, yearly.
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3.00 Credits
Description: This course examines the origins and development of Mathematics and many of its component fields, such as number concepts, numeration systems, arithmetic and its algorithms, algebra, geometry (euclidean, non-euclidean, and analytic), trigonometry, calculus and probability. Great mathematicians and their contributions, great breakthroughs, and classic problems will also be studied. For Math 401, eleven essays (on assigned topics) per credit are required; for Math 501, thirteen essays (on assigned topics) per credit are required. Meets: None Scheduled: Every semester PRQ: None
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3.00 Credits
Introduction to theory and methods of solving ordinary differential equations. Includes first order differential equations, linear differential equations, applications, series solutions and nonlinear equations. PRQ: MATH 231. Scheduled: Fall, even years.
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3.00 Credits
Includes such topics as finite differences, interpolation, numerical differentiation and integration, least squares polynomial approximation and error analysis. PRQ: MATH 231. Scheduled: Spring, even years.
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3.00 Credits
This course provides an introduction to mathematical probability and probability models. Topics include a review of elementary probability axioms and theorems, the theorem of Bayes, random variables, discrete and continuous probability distributions, expectation and the central limit theorem. PRQ: MATH 231, or consent of instructor. Scheduled: Fall, odd years.
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3.00 Credits
Topics include set theory; compositions of functions and permutations; basic theory of groups, rings, and fields; polynomials. Scheduled: Spring, even years.
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3.00 Credits
Topics include properties of integers, Euclid's algorithm, divisibility, primes, congruencies, quadratic residues and reciprocity, number theoretic functions, Diophantine equations and Gaussian integers. Emphasis is on rigor; the theorems of Fermat, Euler, Wilson, Lagrange and Gauss are established. PRQ: MATH 300 or consent of instructor. Scheduled: Fall, even years.
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