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Course Criteria
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4.00 Credits
Calculus of several variables including multidimensional differentiation and integration, and major theorems of vector analysis: Green's theorem, Stokes' theorem, and divergence theorem. 4.000 Credit Hours Prerequisites: Undergraduate level MATH 311 Minimum Grade of C-
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4.00 Credits
An introduction to vector spaces, linear transformations, matrices, eigenvalues and eigenvectors, diagonalization of matrices, inner product spaces, and applications. 4.000 Credit Hours Prerequisites: Undergraduate level MATH 305 Minimum Grade of C-
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4.00 Credits
Divisibility theory, Diophantine equations, congruencies, number theoretic functions, Fibonacci numbers, fundamental theorems, and statements of open problems. 4.000 Credit Hours Prerequisites: Undergraduate level MATH 305 Minimum Grade of C-
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4.00 Credits
Development of mathematical tools necessary for algorithmic applications in computer science. Includes set theory and logic, various algebraic structures, graph theory, Boolean algebra, and computability theory. Emphasizes applications in computer science. 4.000 Credit Hours Prerequisites: Undergraduate level MATH 201 Minimum Grade of C- or Undergraduate level MATH 202 Minimum Grade of C-
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4.00 Credits
Introduction to sets, groups, rings, fields, and vector spaces, with applications. 4.000 Credit Hours Prerequisites: Undergraduate level MATH 305 Minimum Grade of C-
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4.00 Credits
Foundations of and topics from Euclidean and non-Euclidean geometries, projective geometry, invariant theory, and applications. 4.000 Credit Hours Prerequisites: Undergraduate level MATH 305 Minimum Grade of C-
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3.00 Credits
Topics from Newtonian mechanics, using vector methods and introduction to Lagrange formulation. Problem solving emphasized. Also PHYS 342. 4.000 Credit Hours Prerequisites: (Undergraduate level PHYS 201 Minimum Grade of C- or Undergraduate level PHYS 203 Minimum Grade of C-) and Undergraduate level MATH 202 Minimum Grade of C-
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4.00 Credits
Algebra of events, random variables, standard distributions, expected values, variance, and Markov chains. 4.000 Credit Hours Prerequisites: Undergraduate level MATH 201 Minimum Grade of C-
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4.00 Credits
Introduces theory and practical applications of statistical inference including estimation of parameters, confidence intervals, hypothesis testing, ANOVA, regression analysis, and experimental design. Directed study only. 3.000 OR 4.000 Credit Hours Prerequisites: Undergraduate level MATH 351 Minimum Grade of C-
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1.00 Credits
Laboratory to accompany 361 when the latter is taken for 3 units. 1.000 Credit Hours
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