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Course Criteria
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3.00 Credits
Basic properties of the integers and the rationals, fields of quotients, polynomial rings, root-finding, introduction to groups, rings and fields. A historical perspective on the development of the notion of number and algebraic structure. PREREQ: MATH349 and MATH245.
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3.00 Credits
Systems biology approach, mathematical modeling of biological systems; examples from biomedical and agricultural research areas, biotechnology, industrial processes, and others. Differential equations, stochastic, feedback and control, or network models are discussed. Hands-on work via PBL modules. PREREQ: One of BISC302, BISC305, BISC306, BISC401 or BISC403.
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1.00 - 6.00 Credits
No course description available.
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1.00 - 6.00 Credits
No course description available.
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3.00 Credits
Change of variables, surface integrals, Stokes' Theorem, Divergence Theorem, Calculus of Variations, Euler's Equation, Brachistochrone and isoperimetric problems. Introduction to the qualitative theory of ordinary differential equations, including linear systems, phase space analysis, Lyapanov's Methods, and elements of the analysis of nonlinear systems. PREREQ: 300 level or above courses in ordinary differential equations and linear algebra.
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3.00 Credits
Introduction to analytic functions, contour integration, power series, residues and conformal mapping. PREREQ: MATH243
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3.00 Credits
Provides hands-on learning experience in contemporary applications of mathematics. Involves work with investigators from industry, national laboratories and other departments. Mathematical topics may include ordinary and partial differential equations, systems of differential equations, transform, asymptotic and numerical methods. PREREQ: A 300 or higher level course on differential equations.
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3.00 Credits
Illustration and analysis of mathematical models for problems in the biological, physical and social sciences. PREREQ: MATH243 and MATH349 or MATH350. RESTRICTIONS: Cannot be used to satisfy the requirements for a minor in Math or the requirements of any Math degree except the XMS BAAS and the XMS BS degrees.
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3.00 Credits
Constrained and unconstrained optimization of functions of finitely many variables. Basic problem types and examples of applications; linear and nonlinear programming. Optimality conditions. Convexity, saddle points and dual problems. Penalty methods. Includes computational approaches. PREREQ: CISC106, MATH243, and MATH349 or MATH351.
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3.00 Credits
Applications of linear and nonlinear programming to economics. Duality, hyperplanes, finite cones. Game theory, dynamic programming, optimal control. PREREQ: MATH302, MATH305, or MATH351, ECON301, ECON304, and MATH529.
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