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Course Criteria
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3.00 Credits
Prerequisite: MATH 202 In this course, students will broaden their understanding of Euclidean geometry; study finite geometries, geometric transformations and non-Euclidean geometries; write geometric proofs; construction problems; and apply geometric concepts to real-world situations. Either semester.
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3.00 Credits
Prerequisite: MATH 120 or consent of the department A synthetic and analytic study of the axioms and properties of the projective plane; the projective group of transformations, its subgeometries and their invariant properties.
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3.00 Credits
Prerequisite: MATH 130 and COMP 152 Course topics will include formal logic, automata and formal languages, and an introduction to the analysis of algorithms. Either semester.
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3.00 Credits
Prerequisite: Consent of the department Special topics in mathematics. Open to Commonwealth and Departmental Honors students. Three hourly meetings weekly. Fall semester.
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3.00 Credits
Prerequisite: Consent of the department Special topics in mathematics. Open to Commonwealth and Departmental Honors students. Three hourly meetings weekly. Spring semester.
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3.00 Credits
Prerequisite: MATH 202 or consent of instructor This course introduces the basic definitions, concepts, topics and theorems of graph theory including the structure, connectivity and vulnerability of graphs. A wide range of examples such as the traveling salesperson problems, Dijkstra’s algorithm, Huffmann codes and Fleury’s algorithm will also be examined.
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3.00 Credits
Prerequisite: MATH 202 or consent of instructor Methods examined in this course are permutations, combinations, the sum and product rules, ordered and unordered selection with or without repetition, identical and distinct ranges, the pigeonhole principle, binomial coefficients, inclusion/exclusion, derangements, partitions, recurrence relations, generating functions and ramsey theory. Special topics may include latin squares, graph theory, network flows, coding theory, designs, ploya counting, partially ordered sets and lattices.
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3.00 Credits
Prerequisite: MATH 202 The course axiomatically develops the number systems as algebraic structures starting with the construction of the natural numbers using the Peano postulates and continuing to the ordered integral domain of integers, the ordered field of rationals, and the complete ordered field of real numbers by using Cauchy sequences.
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3.00 Credits
Special topics selected from the general areas of algebra, analysis and applied mathematics. This course may be repeated for different topics.
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3.00 Credits
Prerequisite: MATH 202 and MATH 252 Logic and proof techniques are followed by basic theorems on the topology of real numbers, compactness, limits, sequences, continuity and differentiability. Spring semester. May be taken for graduate-level credit.
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