Undergraduate Courses
MTH 1000 - Precalculus
Credits: 3.00
Precalculus (3 credits). Algebra and trigonometry that are used to develop the skills needed in calculus. Required for students who have minimal algebra and/or trigonometry preparation, or whose placement test indicated such a need. (Graphics calculator required.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 1001 - Calculus 1
Credits: 4.00
Calculus 1 (4 credits). Functions and graphs, limits and continuity, derivatives of algebraic and trigonometric functions, chain rule; applications to maxima and minima and to related rates, integration and applications of integration. (Prerequisites: High school algebra, trig and a passing score on the placement test, or MTH 1000.) (Graphics calculator required.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 1002 - Calculus 2
Credits: 4.00
MTH 1002, CHM 1102.) Calculus 2 (4 credits). Exponential, logarithmic, circular and hyperbolic functions: their inverses, derivatives and integrals; further techniques of integration; improper integrals; limits, L'Hospital's rule; sequences and series, numerical methods; polar coordinates; and introductory differential equations. (Prerequisite: MTH 1001.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 1603 - Appld Calc & Statistics
Credits: 3.00
APPLIED CALCULUS AND STATISTICS (3 credits). Topics in derivatives and integrals and their applications, and probability and statistics and their applications. (Noncredit for any program that requires MTH 1001.) (Prerequisite: MTH 1000.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 1701 - College Algebra
Credits: 3.00
College Algebra (3 credits). Real-number system; arithmetic operations with polynomials, special products and factoring; linear, fractional and quadratic equations; inequalities, exponents, radicals and absolute values; functions and graphs; and complex numbers, logarithms, logarithmic and exponential functions. (Noncredit for all majors except business, management, humanities and psychology.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 1702 - Applied Calculus
Credits: 3.00
Applied Calculus (3 credits). Elements of differential and integral calculus with application to business, economics, management and the social and life sciences, as well as maxima, minima, rates, exponential growth and decay and some techniques of integration. (Prerequisite: MTH 1701.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 1801 - Trigonometry Review
Credits: 1.00
Trigonometry Review (1 credit). Review of trigonometric topics necessary for calculus, including trigonometric functions, graphs, identities and solving trigonometric equations. It may be taken currently with MTH 1001. (Prerequisites: High school trigonometry and appropriate score on placement test.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 2001 - Calculus 3
Credits: 4.00
Calculus 3 (4 credits). Cylindrical and spherical coordinates, vectors, functions of several variables, partial derivatives and extrema, multiple integral, vector integral calculus. (Prerequisite: MTH 1002.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 2051 - Discrete Mathematics
Credits: 3.00
Discrete Mathematics (3 credits). Formulation of precise definitions and their negations using propositional and predicate logic; argument analysis and proof techniques including induction; number theory; and sets, relations, functions, directed graphs and elementary counting arguments. (Prerequisite: MTH 1000 or MTH 1001.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 2201 - Diff Equat/Linear Algebra
Credits: 4.00
Differential Equations/Linear Algebra (4 credits). First-order differential equations, linear differential equations with constant coefficients, first-order systems of differential equations with constant coefficients, numerical methods, Laplace transforms, series solutions, algebraic systems of equations, matrices, determinants, vector spaces, eigenvalues and eigenvectors. (Prerequisite: MTH 1002.)
College: College of Sci. & Liberal Arts
Department: Applied Mathematics
MTH 2202 - Linear Alg for Diff Equat
Credits: 1.00
This course includes systems of equations, matrices, determinants, vector spaces, eigenvalues, and eigenvectors. This course is a supplement to differential equations.
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 2401 - Probability/Statistics
Credits: 3.00
Probability and Statistics (3 credits). Random variables, expectations, sampling and estimation of parameters, normal and other distributions and central-limit theorem, tests of hypothesis, linear regression and design experiments. (Prerequisite: MTH 1002.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 3101 - Complex Variables
Credits: 3.00
Complex Variables (3 credits). Algebra of complex numbers, elementary analytic functions, complex integration, series representations for analytic functions, residue theory and conformal mapping and its applications. (Prerequisite: MTH 2001.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 3102 - Intro to Linear Algebra
Credits: 3.00
INTRODUCTION TO LINEAR ALGEBRA (3 credits). Topics include vectors and matrices, linear equations, vector spaces and subspaces, orthogonality, determinants, eigenvalues and eigenvectors, and linear transformations. Students are introduced to solution and manipulation of matrix equations using a standard package of mathematical software. (Prerequisite: MTH 1002.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 3201 - Boundary Value Problems
Credits: 3.00
Boundary Value Problems (3 credits). Solutions of the heat, wave and potential equations by separation of variables; orthogonality; Fourier, Bessel and Legendre series; and properties of Bessel functions, Legendre polynomials and the gamma function. (Prerequisites: MTH 2001, MTH 2201.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 3301 - Finite Difference/Elements
Credits: 3.00
Finite Differences and Finite Elements (3 credits). Numerical methods for BVPs in one and two dimensions; finite difference methods for solving PDEs, finite element methods, variational formulation and Galerkin approximations for ODEs and two-dimensional PDEs, and writing programs. (Prerequisites: MTH 3201, and CSE 1502 or CSE 1503 or CSE 2050.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 3311 - Applied Numerical Methods
Credits: 3.00
Applied Numerical Methods (3 credits). Numerical methods, use and modification of existing software and computer arithmetic, linear systems of equations, interpolation, numeric quadrature, linear least-squares data fitting, eigenvalues, solutions of nonlinear equations. (Prerequisites: CSE 1502 or CSE 1503 or CSE 2050; MTH 1002.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 3501 - Lin Alg & Comp Var
Credits: 3.00
LINEAR ALGEBRA AND COMPLEX VARIABLES (3 credits). Linear algebra, including finite dimensional vector spaces; functions of complex variables; matrix methods; eigenvalue problems; solutions to Laplace's equation in a plane. Examples address applications in aerodynamics and stress-strain relations for elastic and viscous continua. (Prerequisite: MTH 2001.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4051 - Abstract Algebra
Credits: 3.00
Abstract Algebra (3 credits). Groups, cyclic groups, permutation groups, isomorphisms, cosets and Lagrange's theorem, rings, integral domains, vector spaces, and fields. (Prerequisite: MTH 3102.)
College: College of Sci. & Liberal Arts
Department: Applied Mathematics
MTH 4101 - Introductory Analysis
Credits: 3.00
Introductory Analysis (3 credits). See MTH 5101. (Prerequisite: MTH 3102.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4102 - Linear Algebra
Credits: 3.00
A study of matrices and determinants; vector spaces; linear dependence; basis; orthogonality; eigenvalues; eigenvectors; similarity transformations; least squares solutions and canonical forms. Proofs are emphasized. Students are introduced to solution and manipulation of matrix equations via a standard mathematical package.
College: College of Sci. & Liberal Arts
Department:Mathematical Sciences
MTH 4105 - Topology
Credits: 3.00
Topology (3 credits). Metric and topological spaces, continuity, homeomorphism connectedness, compact spaces, separation axioms, product spaces, homeotypic and fundamental group. (Prerequisites: MTH 2051, MTH 3102.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4201 - Models in Appld Math
Credits: 3.00
Models in Applied Mathematics (3 credits). Allows students to formulate and construct mathematical models that are useful in engineering, physical sciences, biological sciences, environmental studies and social sciences. (Prerequisites: MTH 2201 and junior or senior standing in any science or engineering major.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: Must be enrolled in one of the following Class(es):
Junior
Senior
MTH 4311 - Numerical Analysis
Credits: 3.00
Numerical Analysis (3 credits). Introduces numerical methods for solving equations in one variable, polynomial approximation, interpolation, numerical differentiation and integration, initial- value problems for ODE and direct methods for solving linear systems. (Prerequisites: MTH 2201 and CSE 1502, CSE 1503 or CSE 2050.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4320 - Neural Networks
Credits: 3.00
Neural Networks (3 credits). See MTH 5320. (Prerequisites: MTH 2001, MTH 2201, and CSE 1502, CSE 1503 or CSE 2050.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4801 - Advanced Geometry
Credits: 3.00
Advanced Geometry (3 credits). Topics in Euclidean and non-Euclidean geometry with an emphasis on proofs and critical thinking. Satisfies the state of Florida requirement for teacher certification in mathematics. (Prerequisite: MTH 2001 or permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4920 - Spc Top in Applied Math
Credits: 3.00
Special Topics in Applied Math (3 credits). Selected topics from mathematics. Content varies from year to year depending on the needs and interests of the students and expertise of the instructor. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4930 - Spc Top Computational Math
Credits: 3.00
This course will cover selected topics from computational mathematics. Content will vary from year to year depending on the needs and interests of the students and special expertise of the instructor.
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 4990 - Undergraduate Research
Credits: 3.00
Undergraduate Research (3 credits). Student participate in research project under the direction of a faculty member. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
May not be enrolled in one of the following Level(s):
Undergraduate
Release: 3.2.3.1
