Brian Wissman | Teaching


Fall 2020 Classes:

Math 300-001: Ordinary Differential Equations

Past Classes:

Math 100, Survey of Math: Survey of Mathematics course is intended primarily for non-science liberal arts majors to satisfy the university's quantitative reasoning requirement. Core topics include mathematical logic and mathematical thinking and problem solving. Additional topics may include number systems, computers, algebra, and probability.

Math 103, Introduction to College Algebra: For students who need to improve algebraic skills prior to taking Pre-calculus or Applied Calculus, or for courses in Introductory Chemistry, Physics or Statistics. Topics include exponents and radicals, factoring, systems of equations, linear equations, quadratic equations, general properties of functions, graphing, polynomial functions, exponential and logarithmic functions.

Math 125, Applied Calculus: The course emphasis is on computations and applications to Business and Life Sciences. Topics include derivatives, curve sketching, optimization, exponential and logarithmic functions, integration and applications in these areas.

Math 135, Precalc: Elementary Fuctions: Investigates linear, quadratic, polynomial, rational, exponential, logarithmic functions, and relevant topics. This course is the first part of the precalculus sequence.

Math 241, Calculus I: First half of a standard first year calculus sequence intended primarily for Natural Science majors. Topics include differential calculus, applications, and an introduction to integration.

Math 242, Calculus II: Second semester of a standard first year calculus sequence intended primarily for Natural Science majors. Topics include applications of the definite integral, techniques of integration, an introduction to differential equations, and infinite series.

Math 244, Calculus IV: Introduction to calculus of functions of several variables. Topics include multiple integrals, line integrals, and surface integrals; Green's Theorem and Stoke's Theorem.

Math 300, Ordinary Differential Equations: Theory and methods of solutions of ordinary differential equations and systems of linear differential equations with constant coefficients. Power series solutions, Laplace transforms, and applications.

Math 301, Partial Differential Equations: Construction and behavior of solutions of partial differential equations in physical and engineering applications, classical equations of mathematical physics, initial and boundary value problems, and eigenvalue problems.

Math 303, Complex Variables W/ Apps: An introduction to the theory of functions of a complex variable. Complex differentiation and the Cauchy-Riemann equations. Analytic functions, conformal mappings, and Laurent series. Cauchy's Theorem, residue theory, and their applications. Additional topics include Riemann surfaces and the algebraic closure of the complex numbers.

Math 310, Discrete Mathematics: Topics from discrete mathematics, including logic, proof techniques, recurrence relations, set theory, combinatorics, relations, functions, graphs, Boolean algebraic structures and applications to coding theory.

Math 311, Linear Algebra: Algebra of matrices, linear equations, vector spaces, linear transformations, eigenvalue, eigenvector problems, diagonalization and basic applications.

Math 314, Topology: A study of topological spaces and their continuous functions. A focus on properties of topologies, including compactness, Hausdorff, and connectedness. The construction of topologies, including the metric, quotient, product, and subspace topologies. Additional topics include manifold theory and functional analysis.

Math 360, Mathematical Physics: Special functions of mathematical physics which arise from Sturm-Liouville equations: Bessel, beta, elliptical, gamma and Legendre functions. Generating functions, complex integral representations. Other topics may include integral transforms, Fourier analysis and linear algebra.

Math 380, Chaos: An introduction to nonlinear dynamical systems for science majors. Topics include dynamics in one and several dimensions, stability, excitable media, fractals, and time series analysis. Applications in physics, chemistry, ecology and other fields are illustrated.

Math 431/432, Real Analysis I/II: A study of the basic concepts and theorems underlying classical analysis, including the topology of "R", uniform convergence, and differential and integral calculus.

Math x99, Directed Reading, Special Topics:  Differential Geometry and General Relativity, Shock Waves and Nonlinear Conservation Laws, Fractals, Number Theory, Factorization Theory in Numerical Monoids