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Course Criteria
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3.00 Credits
Prereq: MATH 221. Not open to mathematics majors. Not open to MA or MS students in mathematics. Matrix operations, transformations, inverses, orthogonal matrices, rotations in space. Eigenvalues and eigenvectors, diagonalization, applications of diagonalization. Curvilinear coordinate systems, differential operations in curvilinear coordinate systems, Jacobians, changes of variables in multiple integration. Scalar, vector and tensor fields, tensor operations, applications or tensors. Complex function theory, integration by residues, conformal mappings.
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3.00 Credits
Prereq: MATH 314 and either STAT 380 or IMSE 321 or equivalent. Introduction to techniques and applications of operations research. Includes linear programming, queueing theory, decision analysis, network analysis, and simulation.
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3.00 Credits
Lec. Prereq: MATH 221. Picard existence theorem, linear equations and linear systems, Sturm separation theorems, boundary value problems, phase plane analysis, stability theory, limit cycles, and periodic solutions.
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3.00 Credits
Prereq: MATH 430. Continuation of MATH 430.
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3.00 Credits
Prereq: MATH 314/814. Mathematical theory of linear optimization, convex sets, simplex algorithm, duality, multiple objective linear programs, formulation of mathematical models.
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3.00 Credits
Prereq: MATH 314/814. Mathematical theory of constrained and unconstrained optimization, conjugate direction and quasi-Newton methods, convex functions, Lagrange multiplier theory, constraint qualifications.
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3.00 Credits
Prereq: MATH 107 or permission. MATH 439/839 has a small laboratory component. Discrete and continuous models in ecology, population models, predation and food webs, the spread of infectious diseases and life histories. Probability and random processes in nature, elementary models for molecular events, and pharamacokinetics.
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3.00 Credits
(3 cr) Lec 3. Prereq: A programming language, MATH 221 and 314. For course description, see CSCE 441/841.
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3.00 Credits
Prereq: MATH 221 and 314, or their equivalents. Derivation, analysis, and interpretation of mathematical models for problems in the physical and applied sciences. Scaling and dimensional analysis. Asymptotics, including regular and singular perturbation methods and asymptotic expansion of integrals. Calculus of variations.
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3.00 Credits
Lec. Prereq: MATH 310. Arithmetic functions, congruences, reciprocity theorem, primitive roots, diophantine equations, and continued fractions.
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