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Course Criteria
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3.00 Credits
Bridges the gap between computational , algorithmic mathematics courses and more abstract, theoretical courses. Emphasizes the structure of modern mathematics: axioms, postulates, definitions, examples conjectures, counterexamples, theorems, and proofs. Builds skill in reading and writing proofs. Includes careful treatment of sets, functions, relations, cardinality, and construction of the integers, and the rational, real, and complex number systems. NOTES: PREREQUISITE: MATH 152 OFFERED EVERY FALL SEMESTER
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3.00 Credits
Vector spaces, linear independence, basis and dimension, linear mappings, matrices, linear equations, determinants, Eigen values, and quadratic forms. NOTES: PREREQUISITE: MATH 152 OFFERED EVERY SPRING SEMESTER
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3.00 Credits
Methods of solving first and second order differential equations, applications, systems of equations, series solutions, existence theorems, numerical methods, and partial differential equations. NOTES: PREREQUISITE: MATH 152 OFFERED EVERY FALL SEMESTER
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3.00 Credits
Probability as a mathematical system, random variables and their distributions, limit theorems, statistical inference, estimation, decision theory and testing hypotheses. NOTES: PREREQUISITE: MATH 152 OFFERED OCCASIONALLY
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3.00 Credits
Topics to be selected from counting techniques, mathematical logic, set theory, data structures, graph theory, trees, directed graphs, algebraic structures, Boolean algebra, lattices, and optimization of discrete processes. NOTES: PREREQUISITES: MATH 151 AND COSC 210 OFFERED EVERY SPRING SEMESTER
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3.00 Credits
The history of mathematics from ancient to modern times. The mathematicians, their times, their problems, and their tools. Major emphasis on the development of geometry, algebra, and calculus. NOTES: PREREQUISITE: MATH 200 OFFERED INTERIM, ODD YEARS
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3.00 Credits
Areview of Euclidean geometry, an examination of deficiencies in Euclidean geometry, and an introduction to non-Euclidean geometrics. Axiomatic structure and methods of proof are emphasized. NOTES: PREREQUISITE: MATH 200 OFFERED INTERIM, EVEN YEARS
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3.00 Credits
Asurvey of the classical algebraic structures taking an axiomatic approach. Deals with the theory of groups and rings and associated structures, including subgroups, factor groups, direct sums of groups or rings, quotient rings, polynomial rings, ideals, and fields. NOTES: PREREQUISITE: MATH 200 AND MATH 220 OFFERED FALL SEMESTER, EVEN YEARS
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3.00 Credits
An introduction to topological structures from point-set, differential, algebraic, and combinatorial points of view. Topics include continuity, connectedness, compactness, separation, dimension, homeomorphism, homology, homotopy, and classification of surfaces. NOTES: PREREQUISITE: MATH 200 AND MATH 220 OFFERED SPRING SEMESTER, ODD YEARS
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3.00 Credits
This course develops the logical foundations underlying the calculus of real-valued functions of a single real variable. Topics include limits, continuity, uniform continuity, derivatives and integrals, sequences and series of numbers and functions, convergence, and uniform convergence. NOTES: PREREQUISITE: MATH 200 AND MATH 220 OFFERED FALL SEMESTER, ODD YEARS
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