Mathematics (MATH)
MATH 6 Intermediate Algebra 3 Credits (3,0)
Intermediate algebra concepts including linear equations, inequalities, polynomials, rational expressions, exponents, functions, and systems of equations. Credit not applicable to any degree. A grade of C or higher is required.
Prerequisites: Math placement
MATH 100 Foundations in Mathematical Problem Solving 3 Credits (3,0)
Equips students with mathematical reasoning skills through problem-based activities in algebra. Prepares for MATH 106, MATH 111, or MATH 140. Cannot satisfy General Education requirements.
MATH 106 Basic Algebra and Trigonometry 3 Credits (3,0)
Basic laws of numbers, exponents, complex numbers, equations, inequalities, polynomials, quadratics, and elements of trigonometry.
MATH 111 Pre-calculus for Aviation 3 Credits (3,0)
Precalculus for aviation students. Topics include algebra fundamentals, linear and quadratic equations, polynomial, rational, exponential, and trigonometric functions, radian measure, right triangle solutions, vectors.
MATH 112 Applied Calculus for Aviation 3 Credits (3,0)
Basic calculus for aviation students. Differentiation and integration of algebraic functions, applications to velocity, acceleration, area, and curve sketching.
MATH 120 Applied College Algebra 3 Credits (3,0)
Algebra methods applied to business and economics. Systems of linear equations and inequalities, modeling, and problem-solving.
MATH 140 College Algebra 3 Credits (3,0)
Exponents, radicals, linear and quadratic equations, inequalities, graphing, sequences, systems of equations, matrices, functions, and basic logarithmic and trigonometric concepts.
MATH 142 Trigonometry 3 Credits (3,0)
Trigonometric functions, identities, radian measure, trigonometric equations, right and oblique triangles, vectors, and trigonometric form of complex numbers.
MATH 143 Precalculus Essentials 3 Credits (3,0)
Precalculus with emphasis on functions and graphs, including polynomial, rational, exponential, and trigonometric functions; radian measure; vectors; parametric and polar curves; binomial theorem. Open only to engineering students.
MATH 145 College Algebra and Trigonometry 5 Credits (5,0)
Fundamentals of exponents, equations, inequalities, polynomials, logarithmic, and trigonometric functions, radian measure, vectors, laws of sines, cosines, and complex numbers.
MATH 199 Special Topics in Mathematics 1-6 Credit (1-6,0)
Individual, independent, or directed studies of selected topics in mathematics.
MATH 201 Learning to Reason: Art and Quotient 3 Credits (3,0)
Data science, proportionality, and geometric concepts. Focus on the development of mathematics and technologies across disciplinary boundaries.
MATH 202 Learning to Reason: Commerce and Flux 3 Credits (3,0)
Quantitative approach to decision-making in finance, technology, and design. Focus on mathematics and technology for decision-making processes.
MATH 210 Introduction to Data Science 3 Credits (3,0)
Principles of data collection, management, visualization, ethics, privacy, statistical inference, and machine learning. No prior programming or statistics experience required.
MATH 220 Concepts of Calculus 3 Credits (3,0)
Introductory calculus for business and economics. Topics include limits, differentiation, integration, maximization, minimization, and curve sketching.
MATH 241 Calculus and Analytical Geometry I 4 Credits (4,0)
Limits, continuity, differentiation and integration of algebraic and elementary transcendental functions. Applications of derivatives and integration.
MATH 242 Calculus and Analytical Geometry II 4 Credits (4,0)
Differentiation and integration of transcendental functions; special integration techniques, power series, applications of definite integrals.
MATH 243 Calculus and Analytical Geometry III 4 Credits (4,0)
Solid analytic geometry, vector functions in three dimensions, partial differentiation, directional derivative, gradient, multiple integrals.
MATH 245 Applied Differential Equations 3 Credits (3,0)
Treatment of ordinary differential equations, Laplace transforms, matrix algebra, numerical methods, least squares, and normal distribution applications.
MATH 270 Computational Mathematics Seminar 1 Credit (1,0)
Introduction to computational models using guided inquiry, open-ended inquiry, cooperative learning, and computer algebra systems. Topics include model implementation and assessment.
MATH 299 Special Topics in Mathematics 1-6 Credit (1-6,0)
Individual, independent, or directed studies of selected topics in mathematics.
MATH 305 Introduction to Scientific Computing 3 Credits (3,0)
Introduction to Unix operating system, programming in high-level languages, and use of mathematical libraries. Topics include root-finding algorithms, quadrature, and differential equations.
MATH 314 Applied Linear Algebra and Statistics 3 Credits (3,0)
Introductory mathematical concepts for problem-solving in software development and data analysis. Topics include linear algebra, probability, statistics, and combinatorics.
MATH 325 Matrix Methods 1 Credit (1,0)
Matrices, matrix algebra, determinants, linear equations, Gaussian elimination, eigenvalues, and applications in science and engineering.
MATH 335 Introduction to Linear and Abstract Algebra 3 Credits (3,0)
Theoretical aspects of modern algebra. Topics include linear and abstract algebra, proof-writing, and applications.
MATH 341 Introduction to Mathematical Analysis 3 Credits (3,0)
Theoretical aspects of calculus. Topics include the real number system, limits, continuity, derivatives, Riemann integral, topology, and metric spaces.
MATH 345 Differential Equations and Matrix Methods 4 Credits (4,0)
Ordinary differential equations; methods of substitution, linear equations, Laplace transforms, series solutions, linear algebra, and matrix methods applied to physics and engineering.
MATH 348 Numerical Methods 3 Credits (3,0)
Floating point arithmetic, error analysis, interpolation, integration, differentiation, matrix algebra, solution of equations, and use of numerical software packages.
MATH 350 Introduction to Partial Differential Equations 3 Credits (3,0)
First-order linear and nonlinear partial differential equations, numerical solutions, convergence, Fourier series, Greens functions, and difference equations.
MATH 360 Mathematical Modeling and Simulation I 3 Credits (3,0)
Cyberlearning course in computational mathematics. Topics include matrix operations, optimization, and interdisciplinary problems. Use of software tools like MATLAB, Stella, and Agentsheets for modeling and simulation.
MATH 392 Applied Linear Algebra 3 Credits (3,0)
Vector and matrix operations, matrix decomposition, vector spaces, subspaces, linear transformations, change of basis, eigenvectors, eigenvalues, diagonalization of matrices, inner products, orthonormal bases, and applications.
MATH 399 Special Topics in Mathematics 1-6 Credit (1-6,0)
Individual, independent, or directed studies of selected topics in mathematics.
MATH 404 Statistics and Research Methods 3 Credits (3,0)
Probability theory, statistical methods (regression, hypothesis testing, experimental design), ethics in experimentation, non-quantitative research, and use of statistics packages.
MATH 410 Linear Optimization 3 Credits (3,0)
Techniques for solving deterministic optimization models. Topics include linear programming, simplex method, duality theory, network flow models, and integer programming.
MATH 412 Probability and Statistics 3 Credits (3,0)
Finite sample spaces; conditional probability; Bayes Theorem; discrete and continuous random variables; expected value; variance; standard deviation; major distributions; moment generating functions; hypothesis testing and estimation.
MATH 420 Nonlinear Optimization 3 Credits (3,0)
Modeling and analysis of nonlinear optimization problems. Topics include convex analysis, optimization methods, duality theory, Karush-Kuhn-Tucker conditions, and penalty methods.
MATH 433 Review of Optimization Techniques 3 Credits (3,0)
Mathematical optimization methods; problem formulation; optimality criteria; linear programming methods; numerical methods for unconstrained and constrained problems; sequential linear programming; genetic algorithms; hybrid optimal control.
MATH 435 Linear and Abstract Algebra II 3 Credits (3,0)
Advanced topics in linear and abstract algebra, including Hilbert spaces, spectral theorem, tensor products, and non-associative algebra.
MATH 441 Mathematical Methods for Engineering and Physics I 3 Credits (3,0)
Line and surface integrals; vector fields; Green, Gauss, and Stokes Theorems; vector field applications; Fourier series.
MATH 442 Mathematical Methods for Engineering and Physics II 3 Credits (3,0)
Linear differential equations with variable coefficients; derivation and solutions of partial differential equations; Fourier series, Fourier and Laplace transforms, Green's function; applications in science and engineering.
MATH 443 Complex Variables 3 Credits (3,0)
Algebra of complex numbers; analytic functions; conformal mappings; applications. Topics include complex integration, power series expansion.
MATH 448 Numerical Methods for Differential Equations 3 Credits (3,0)
Numerical techniques for solving differential equations: initial value problems, Taylor series methods, Runge-Kutta, multistep methods, boundary value problems, shooting method, finite difference method for heat and wave equations. Use of computational tools like MATLAB, C, Fortran, and Python.
MATH 453 High Performance Scientific Computing 3 Credits (3,0)
Introduction to high-performance computing in computational mathematics and sciences. Overview of parallel computing, shared-memory parallelization (OpenMP), distributed-memory parallel programming (MPI), with applications in sciences, engineering, and physics.
MATH 488 Data-driven Numerical Methods for Differential Equations 3 Credits (3,0)
Numerical methods for ODEs and PDEs: Runge-Kutta, multistep, shooting, finite difference, finite volume; stability, consistency, convergence. Data-driven modeling: sparse regression (SINDy), physics-informed neural networks (PINNs), model discovery, integration of physical laws with machine learning. Computational implementation, theoretical foundations, applications in science and engineering (fluids, climate and biology).
MATH 490 Capstone Project 3 Credits (3,0)
Consolidation of knowledge in mathematics through investigating a computational problem in an application area. Development of a mathematical paradigm and tools to solve the problem. Teams create mathematical models and present written and oral reports.
MATH 499 Special Topics in Mathematics 1-6 Credit (1-6,0)
Individual, independent, or directed studies of selected topics in mathematics.