Skip to Content

Course Search Results

  • 3.00 Credits

    Calculus-based. Introduces mathematical properties of random variables. Includes discrete and continuous probability distributions, independence and conditional probability distributions, independence and conditional probability, mathematical expectation, multivariate distributions and properties of normal probability law. Dual listed with MATH 5255; cross listed with STAT 4255. Prerequisites: grade of C or better in MATH 2210 or 2355.
  • 3.00 Credits

    Presents derivations of theoretical and sampling distributions. Introduces theory of estimation and hypothesis testing. Dual listed with MATH 5265; cross listed with STAT 4265. Prerequisites: STAT 4250/5250, MATH 4250.
  • 3.00 Credits

    A model of a real world problem captures the essential features of the problem, while scaling it down to a manageable size. In this course, symbolic tools and mathematical techniques are used to construct, analyze and interpret various mathematical models which arise from problems in the physical, biological and social sciences. Prerequisite: grade of C or better in MATH 2250 or 3310.
  • 3.00 Credits

    Numerical Methods for Ordinary and Partial Differential Equations, Develops the skills needed for computational problem solving and numerical analysis. Topics addressed include: one-step, linear multistep methods for solving initial value problems; truncation errors, stability analysis, convergence of numerical methods; finite difference approximation for elliptic equations and initial boundary value problems; iterative methods for sparse linear systems. Cross listed with COSC 4340. Prerequisites: MATH 3340.
  • 3.00 Credits

    Third course in the logic sequence. Studies advanced topics in mathematical logic. Takes up such topics as: uninterpreted calculi and the distinctive contributions of syntax and semantics: metatheory, including completeness and consistency proofs: modal logic and semantics; logic as a philosophical tool. Cross listed with COSC/PHIL 4420. Prerequisite: PHIL 3420 or equivalent.
  • 3.00 Credits

    Survey of analytic methods for solving partial differential equations. Topics include: method of characteristics for solving first-order linear and quasi-linear equations; classification of second-order equations and canonical forms; background to separation of variables with applications; transform methods and Green functions; elliptic equations; heat and wave equations in one dimension. Prerequisites: grade of C or better in MATH 2210 and MATH 2310.
  • 3.00 Credits

    Continuation from MATH 2250 of the study of matrices, an important tool in statistics, physics, engineering and applied mathematics in general. Concentrates on the structure of matrices, including diagonalizability; symmetric, hermitian and unitary matrices; and canonical forms such as Jordan form. Prerequisite: grade of C or better in MATH 2250.
  • 3.00 Credits

    Introduction to Group Theory. An introduction to the fundamental properties of groups including: binary operations, groups, permutation groups, subgroups, homomorphisms, and quotient groups. Prerequisite: grade of C or better in MATH 3500.
  • 3.00 Credits

    Further examples and structure of rings and fields. Finite fields and number fields. Special topics. Prerequisites: grade C or better in MATH 4510.
  • 3.00 Credits

    Studies topics in mathematics which are motivated by questions about integers. Topics include divisibility, congruences, diophantine equations, quadratic residues, primitive roots, primes, and representations of positive integers. Prerequisite: grade of C or better in MATH 3000 or 3200.