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MATH 387: Discrete And Foundational Mathematics
3.00 Credits
Boise State University
A continuation of MATH 187, exploring more advanced topics in logic, set theory, and discrete mathematics. Proof techniques in predicate logic; diagonalization arguments in logic, set theory and computer science; ordered sets; mathematical methods in cryptography; advanced techniques of combinatorial enumeration; selected topics in graph theory. PREREQ: MATH 187.
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MATH 405: Abstract
3.00 Credits
Boise State University
Topics in group theory, ring theory and field theory with emphasis on finite and solvable groups, polynomials and factorization, extensions of fields. PREREQ: MATH 301 and MATH 305.
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MATH 411: Introduction to
3.00 Credits
Boise State University
Sets, metric and topological spaces, product and quotient topology, continuous mappings, connectedness and compactness, homeomorphisms, fundamental group, covering spaces. PREREQ: MATH 314.
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MATH 411 - Introduction to
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MATH 414: Advanced Calculus
4.00 Credits
Boise State University
Introduction to fundamental elements of analysis on Euclidean spaces including the basic differential and integral calculus. Topics include: infinite series, sequences and series of function, uniform convergences, theory of integration, implicit function theorem and applications. PREREQ: MATH 275, MATH 301, MATH 314.
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MATH 414 - Advanced Calculus
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MATH 426: Complex
3.00 Credits
Boise State University
Complex numbers, functions of a complex variable, analytic functions, infinite series, infinite products, integration, proofs and applications of basic results of complex analysis. Topics include the Cauchy integral formulas, the residue theorem, the Riemann mapping theorem and conformal mapping. PREREQ: MATH 275.
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MATH 426 - Complex
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MATH 433: Ordinary Differential
3.00 Credits
Boise State University
Theory of linear and nonlinear ordinary differential equations and their systems, including Dynamical systems theory. Properties of solutions including existence, uniqueness, asymptotic behavior, stability, singularities and boundedness. PREREQ: MATH 333.
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MATH 433 - Ordinary Differential
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MATH 436: Partial Differential
3.00 Credits
Boise State University
Theory of partial differential equations and boundary value problems with applications to the physical sciences and engineering. Detailed analysis of the wave equation, the heat equation, and Laplace's equation using Fourier series and other tools. PREREQ: MATH 333.
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MATH 436 - Partial Differential
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MATH 456: Linear
3.00 Credits
Boise State University
Linear optimization problems and systems of linear inequalities. Algorithms include simplex method, two-phase method, duality theory, and interior point methods. Programming assignments. PREREQ: MATH 301.
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MATH 456 - Linear
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MATH 462: Probability And Statistics II
3.00 Credits
Boise State University
Provides a solid foundation in the mathematical theory of statistics. Topics include probability theory, distributions and expectations of random variables, transformations of random variables, moment-generating functions, basic limit concepts and brief introduction to theory of estimation and hypothesis testing: point estimation, interval estimation and decision theory. PREREQ: MATH 301, MATH 361 and MATH 275.
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MATH 462 - Probability And Statistics II
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MATH 464: Mathematical Modeling
3.00 Credits
Boise State University
Introduction to mathematical modeling through case studies. Deterministic and probabilistic models. Optimization. Examples will be drawn from the physical, biological, and social sciences. PREREQ: MATH 361 or PERM/ INST.
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MATH 464 - Mathematical Modeling
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