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Course Criteria
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3.00 Credits
Fall, Spring, Summer. Systems of linear equations, vectors, matrices, determinants, linear transformations, vector spaces and applications. Techniques and some proofs. Prerequisite: C or better in MATH 232.
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3.00 Credits
Fall, Spring. Introduction to ordinary differential equations: general equations of low order, higher order linear equations with constant coefficients, series solutions, qualitative theory and systems of differential equations. Prerequisite: C or higher in MATH 233 or MATH 235.
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3.00 Credits
Fall, Spring. Elementary topics from rings, fields and groups: divisibility properties of the integers; integral domains; construction of the rational, real and complex number systems; polynomial rings. MATH 339 should not be used as an elective for students in the College of Arts and Sciences. Prerequisite: C or better in MATH 322 and MATH 332 or consent of instructor.
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3.00 Credits
Fall, Spring. Summary and display of data; basic probability concepts; discrete distributions; continuous distributions; computer-aided probabilistic and statistical modelling of real problems; estimation; tests of statistical hypotheses. Not open to students who have credit for MATH 441. Prerequisite: C or better in MATH 232 or consent of instructor.
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3.00 Credits
Introduction to statistical methodology through the use of case studies. Data collection, exploratory methods, inferential methods including multiple regression, nonparametric tests, analysis of variance, and chi-square statistics. Prerequisites: C or higher in MATH 131 and C or higher in MATH 247 or MATH 341 or MATH 441 or PSYC 270 or SOC 369 or STAT 211.
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1.00 Credits
A choice of two experiences: (1) a problem-solving seminar, or (2) use of the mathematics library to conduct a search for articles related to a selected topic. Prerequisite: invitation of department.
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3.00 Credits
Selected topics in mathematics not included in existing courses. May be taken twice for credit. Prerequisite: consent of instructor.
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3.00 Credits
Fall odd years. Divisibility, prime numbers, linear congruences, Chinese Remainder Theorem, quadratic residues, quadratic reciprocity law, numerical functions, factorization of integers, Fibonacci numbers, elementary diophantine equations and applications. Prerequisite: C or better in MATH 322 and MATH 332, or consent of instructor.
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3.00 Credits
Fall, Spring. Axiomatic development of neutral and Euclidean geometry; introduction to non-Euclidean geometry. Prerequisite: C or better in MATH 322 and MATH 332, or consent of instructor.
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3.00 Credits
Fall. Topics from groups and rings; normal subgroups, homomorphisms, cyclic groups, permutation groups, Lagrange's and Cayley's theorems, factor groups, abelian groups, direct products; integral domains, ideals and factor rings, ring isomorphisms, polynomial rings. Prerequisites: C or higher in MATH 233 or MATH 235, and C or higher in MATH 322 and MATH 332, or consent of instructor.
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