| Course | Hours | Title | Prerequisite(s) | Equiv. Course |
| MATH 0700 | 3 | Elementary Algebra | None | MH 098 |
| Description: Fundamental operations in arithmetic and algebra. Numbers and their properties; integers and rational numbers; solving equations; polynomials and factoring; an introduction to systems of equations and graphs. Graded CR/NC. Credit for this course is in addition to minimum degree requirements. |
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| MATH 0800 | 3 | Intermediate Algebra | MATH 0700 | MH 100 |
| Description: Designed to help students develop basic skills in algebra. Topics include sets, real numbers, polynomials, algebraic fractions, exponents, roots, radicals, linear equations and inequalities, quadratic equations, functions, and graphing. Credit for this course is in addition to minimum degree requirements. |
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| MATH 1100 | 3 | Finite Mathematics | MATH 0800 | MH 110 |
| Description: Primarily for students not continuing to calculus. Sets, counting, permutations, combinations, basic probability, Bayes's Theorem, descriptive statistics, binomial and normal distribution, matrices, applications of matrices to Markov chains and decision theory. Additional topics as time allows. |
| | | | | |
| MATH 1120 | 3 | Precalculus Algebra | MATH 0800 | MH112 |
| Description: Primarily for students who intend to continue to calculus. Polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; quadratic inequalities; the Binomial Theorem. Additional topics may include matrices, Cramer's Rule, and mathematical induction. |
| | | | | |
| MATH 1150 | 4 | Precalculus Algebra & Trigonometry | MATH 0800 | |
| Description: This course provides a foundation for calculus. Principal topics are polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; Binomial Theorem; trigonometric and inverse trigonometric functions, solving triangles; trigonometric identities and equations; DeMoivre's Theorem, polar coordinates, and vectors. |
| | | | | |
| MATH 1310 | 3 | Math for Elementary Ed I | MATH 1100 | MH 131 |
| Description: The first in a two-course sequence covering mathematical concepts taught in elementary schools. MATH 1310 emphasizes numeration. Problem solving; numeration with whole numbers; concepts, computations, properties, and models of arithmetic operations on whole numbers, integers, and fractions; factorization. |
| | | | | |
| MATH 1320 | 3 | Math for Elementary Ed II | MATH 1310 | MH 132 |
| Description: A continuation of MATH 1310; emphasizes geometry. Topics include decimals, percentage, scientific notation; geometric figures in two and three dimensions; rigid motions and congruence; measurements of lengths, areas, volumes, angles; metric system; construction with ruler and compass; and similar figures. |
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| MATH 1510 | 3 | Survey of Calculus | MATH 1120 | MH 151 |
| Description: Basic principles of differential and integral calculus, including the Fundamental Theorem of Calculus. Applications in management, natural sciences, and social sciences, including rates and optimization. Duplicate credit will not be allowed for MATH 1510 and MATH 1610. |
| | | | | |
| MATH 1550 | 3 | Trigonometry | MATH 0800 | MH 155 |
| Description: This course and MATH 1120 complete the prerequisites for Calculus I. Analytic and geometric properties of trigonometric and inverse trigonometric functions; graphs; identities and equations; sum and difference formulas; laws of sines and cosines; applications, including vectors and solving triangles. |
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| MATH 1610 | 4 | Calculus I | MATH 1150 | MH 162 |
| Description: Basic differential calculus and an introduction to the integral calculus of rational, trigonometric, logarithmic, and exponential functions. Limits; the derivative; computation of derivatives; applications of derivatives; antiderivatives; areas; definite integral; Fundamental Theorem of Calculus. |
| | | | | |
| MATH 1620 | 4 | Calculus II | MATH 1610 | MH 163 |
| Description: A continuation of Calculus I. Applications of the definite integral; techniques of integration; indeterminate forms; improper integrals; polar coordinates; numerical integration; infinite series; Taylor's Theorem; power series. |
| | | | | |
| MATH 2200 | 3 | Biostatics | MATH 1100 or 1120 | |
| Description: This course introduces students to statistical techniques commonly used in research and includes estimation and hypothesis testing, ANOVA, linear and non-linear regression, and non-parametric statistics. Extensive use of computer exercises allows students to fulfill their requirement for computer literacy. This is a cross-listed course with BIOL 2200 and may be team-taught. A maximum of three hours credit for QMTH 2740, BIOL/MATH 2200, MATH 2670, and MATH 2680 may be applied towards graduation requirements. |
| | | | | |
| MATH 2630 | 4 | Multivariable Calculus | MATH 1620 | MH 264 |
| Description: A continuation of Calculus II. Vectors and curvilinear motion; partial derivatives; gradient and its applications; multivariable Chain Rule; maxima and minima, including Lagrange multipliers; double and triple integration; line integrals; Green's Theorem; surface integrals; Divergence Theorem; Stokes's Theorem. |
| | | | | |
| MATH 2660 | 3 | Linear Algebra | MATH 1620 | MH 266 |
| Description: Algebra of matrices; systems of linear equations; vector spaces; subspaces; bases; coordinatization; linear transformations and their matrix representation; determinants; eigenvalues; diagonalization. |
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| MATH 2670 | 3 | Elementary Statistics | MATH 1100 or 1120 | MH 267 |
| Description: Basic concepts and principles in statistics. Topics covered include probability, frequency distributions and sampling, hypothesis testing, correlation, and regression. A maximum of three hours credit for QMTH 2740, BIOL/MATH 2200, MATH 2670, and MATH 2680 may be applied towards graduation requirements. |
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| MATH 2680 | 3 | Inferential Statistics | MATH 1100 or 1120 | MH 268 |
| Description: Fundamentals of applied statistics: hypothesis testing, confidence intervals, correlation, regression, goodness of fit, analysis of variance, and nonparametric statistics. A maximum of three hours credit for QMTH 2740, BIOL/MATH 2200, MATH 2670, and MATH 2680 may be applied towards graduation requirements. |
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| MATH 2690 | 3 | Ordinary Differential Equations | MATH 1620 | MH 269 |
| Description: First-order differential equations; higher-order, linear differential equations, including infinite series solutions; Laplace transforms; systems of linear differential equations; applications. |
| | | | | |
| MATH 3670 | 3 | Advanced Statistics | MATH 2670 | MH 367 |
| Description: Correlation and regression, analysis of variance, nonparametric methods, multivariate analysis. Emphasis on applications. Includes introduction to statistical computing using SAS. Duplicate credit will not be allowed for MATH 3670 and QMTH 2750. |
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| MATH 4110 | 3 | History of Mathematics | MATH 1620 | MH 411 |
| Description: A first course beginning with Babylonian and Egyptian mathematics, including the contributions of the Greeks, and the development of elementary mathematics through calculus. |
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| MATH 4200 | 3 | Discrete Mathematics | MATH 2660 | MH 420 |
| Description: Combinatorial reasoning and problem solving, including graph theory, counting principles, permutations and combinations, and combinatorial modeling. |
| | | | | |
| MATH 4210 | 3 | Analysis I | MATH 2660 | MH 421 |
| Description: The Least Upper Bound axiom and order properties of the real line; sequences, series; continuous functions; fixed point theory. Emphasis is on the development of proofs by students. |
| | | | | |
| MATH 4220 | 3 | Analysis II | MATH 4210 | MH 422 |
| Description: A continuation of MATH 4210. Limits; derivatives; theory of the Riemann integral; sequences of functions; uniform convergence; power series. Emphasis is on the development of proofs by students. |
| | | | | |
| MATH 4230 | 3 | Complex Variables | MATH 2630 | MH 423 |
| Description: Complex numbers, limits, differentiation, analytic functions, integration, conformal mappings, and applications. |
| | | | | |
| MATH 4300 | 3 | Number Theory | MATH 2660 | MH 430 |
| Description: Mathematics of the integers; divisibility, primes, unique factorization; congruences and residues; Diophantine problems; number theoretic functions. |
| | | | | |
| MATH 4310 | 3 | Modern Algebra I | MATH 2660 | MH 431 |
| Description: An introduction to algebraic structures. Binary operations, groups, subgroups, groups of permutations, cyclic groups, normal subgroups, quotient groups, homomorphisms and isomorphisms, rings, integral domains, fields. |
| | | | | |
| MATH 4320 | 3 | Modern Algebra II | MATH 4310 | MH 432 |
| Description: A continuation of MATH 4310. Ideals and quotient rings, ring homomorphisms, rings of polynomials, factorization, Euclidean rings, extension fields, selected additional topics. |
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| MATH 4400 | 3 | Math Models & Simulation | MATH 2660 | MH 440 |
| Description: Use of models and simulation for solving problems in applied mathematics. Techniques of setting up, solving, and interpreting models as well as an introduction to certain standard models. |
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| MATH 4470 | 3 | Foundations of Plane Geometry | MATH 1620 | MH 447 |
| Description: Axiomatic development of plane geometry. Emphasis is placed on the development of proofs by students. |
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| MATH 4500 | 3 | Topology | MATH 2630 | MH 450 |
| Description: Metric spaces; continuity; sequences, equivalent metrics; topological spaces and homeomorphisms; products; connectedness; compactness. |
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| MATH 4600 | 3 | Numerical Analysis I | MATH 2660 | MH 460 |
| Description: Number systems and error propagation; solutions of nonlinear equations; acceleration of convergence; polynomial and spline interpolation, numerical integration and differentiation; efficient direct solution of systems of linear equations; PLU factorization of matrices; matrix norms and condition numbers. |
| | | | | |
| MATH 4610 | 3 | Numerical Analysis II | MATH 4600 | MH 461 |
| Description: Iterative solutions of large systems of linear equations; numerical solutions of eigenvalue problems for linear systems; numerical solutions of boundary value problems for ordinary differential equations; numerical solution of systems of ordinary differential equations; least square approximation. |
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| MATH 4670 | 3 | Mathematical Statistics I | MATH 2630 | MH 467 |
| Description: Basic probability theory; combinatorics; random variables; special distributions; applications to scientific and engineering data. |
| | | | | |
| MATH 4680 | 3 | Mathematical Statistics II | MATH 4670 | MH 468 |
| Description: Moment generating functions and the use of moments; Central Limit Theorem; derivation of probability density function of sample statistics; sampling, estimation, and hypothesis testing; correlation and regression. |
| | | | | |
| MATH 4690 | 3 | Math Methods Engineer/Physics | MATH 2630 & 2690 | MH 469 |
| Description: Sturm-Liouville problems with special functions; Fourier series and integrals; partial differential equations, including hyperbolic, parabolic, and elliptic equations with applications; Fourier and Laplace transform methods. |
| | | | | |
| MATH 4950 | 1 | Senior Seminar in Math | Senior Standing | |
| Description: Each student will be guided in the presentation of a technical topic, and will complete an appropriate assessment test in college-level mathematics. Occupational and employment information and guidance will be offered. |
| | | | | |
| MATH 4970 | 3 | Special Topics in Mathematics | Permission of Instructor | MH 491 |
| Description: An individual problems course. Each student will work under the direction of a staff member on some problem of mutual interest. With permission of the department head, this course may be taken on a pass-fail basis. |
| | | | | |
| MATH 6110 | 3 | History of Mathematics | MATH 1620 | MH 611 |
| Description: A first course beginning with Babylonian and Egyptian mathematics, including the contributions of the Greeks, and the development of elementary mathematics through calculus. |
| | | | | |
| MATH 6200 | 3 | Discrete Mathematics | MATH 2660 | MH 620 |
| Description: Combinatorial reasoning and problem solving, including graph theory, counting principles, permutations and combinations, and combinatorial modeling. |
| | | | | |
| MATH 6210 | 3 | Analysis I | MATH 2660 | MH 621 |
| Description: The Least Upper Bound axiom and order properties of the real line; sequences, series; continuous functions; fixed point theory. Emphasis is on the development of proofs by students. |
| | | | | |
| MATH 6220 | 3 | Analysis II | MATH 6210 | MH 622 |
| Description: A continuation of MATH 6210. Limits; derivatives; theory of the Riemann integral; sequences of functions; uniform convergence; power series. Emphasis is on the development of proofs by students. |
| | | | | |
| MATH 6230 | 3 | Complex Variables | MATH 2630 | MH 623 |
| Description: Complex numbers, limits, differentiation, analytic functions, integration, conformal mappings, and applications. |
| | | | | |
| MATH 6300 | 3 | Number Theory | MATH 2660 | MH 630 |
| Description: Mathematics of the integers; divisibility, primes, unique factorization; congruences and residues; Diophantine problems; number theoretic functions. |
| | | | | |
| MATH 6310 | 3 | Modern Algebra I | MATH 2660 | MH 631 |
| Description: An introduction to algebraic structures. Binary operations, groups, subgroups, groups of permutations, cyclic groups, normal subgroups, quotient groups, homomorphisms and isomorphisms, rings, integral domains, fields. |
| | | | | |
| MATH 6320 | 3 | Modern Algebra II | MATH 6310 | MH 632 |
| Description: A continuation of MATH 6310. Ideals and quotient rings, ring homomorphisms, rings of polynomials, factorization, Euclidean rings, extension fields, selected additional topics. |
| | | | | |
| MATH 6400 | 3 | Math Models & Simulation | MATH 2660 | MH 640 |
| Description: Use of models and simulation for solving problems in applied mathematics. Techniques of setting up, solving, and interpreting models as well as an introduction to certain standard models. |
| | | | | |
| MATH 6470 | 3 | Foundations of Plane Geometry | MATH 1620 | MH647 |
| Description: Axiomatic development of plane geometry. Emphasis is placed on the development of proofs by students. |
| | | | | |
| MATH 6500 | 3 | Topology | MATH 2630 | MH 650 |
| Description: Metric spaces; continuity; sequences, equivalent metrics; topological spaces and homeomorphisms; products; connectedness; compactness. |
| | | | | |
| MATH 6600 | 3 | Numerical Analysis I | MATH 2600 | MH 660 |
| Description: Number systems and error propagation; solutions of nonlinear equations; acceleration of convergence; polynomial and spline interpolation, numerical integration and differentiation; efficient direct solution of systems of linear equations; PLU factorization of matrices; matrix norms and condition numbers. |
| | | | | |
| MATH 6610 | 3 | Numerical Analysis II | MATH 6600 | MH 661 |
| Description: Iterative solutions of large systems of linear equations; numerical solutions of eigenvalue problems for linear systems; numerical solutions of boundary value problems for ordinary differential equations; numerical solution of systems of ordinary differential equations; least square approximation. |
| | | | | |
| MATH 6670 | 3 | Mathematical Statistics I | MATH 2630 | MH 667 |
| Description: Basic probability theory; combinatorics; random variables; special distributions; applications to scientific and engineering data. |
| | | | | |
| MATH 6680 | 3 | Mathematical Statistics II | MATH 6670 | MH 668 |
| Description: Moment generating functions and the use of moments; Central Limit Theorem; derivation of probability density function of sample statistics; sampling, estimation, and hypothesis testing; correlation and regression. |
| | | | | |
| MATH 6690 | 3 | Math Methods Engineer/Physics | MATH 2630 & 2690 | MH 669 |
| Description: Sturm-Liouville problems with special functions; Fourier series and integrals; partial differential equations, including hyperbolic, parabolic, and elliptic equations with applications; Fourier and Laplace transform methods. |
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| MATH 6970 | 3 | Special Topics in Mathematics | Permission of Instructor | MH 691 |
| Description: An individual problems course. Each student will work under the direction of a staff member on some problem of mutual interest. With permission of the department head, this course may be taken on a pass-fail basis. |
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| CSCI 1000 | 3 | Survey Computer Apps | MATH 0800 or 1100 or 1120 | CS 100 |
| Description: Applications such as text editing, spreadsheets, and database systems. Includes an introduction to microcomputers and their hardware, communications, operating systems, and programming. Includes hands-on laboratory sessions. No prior knowledge of computers is assumed. |
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| CSCI 1200 | 3 | Scientific Programming | MATH 1510 or 1610 | CS 120 |
| Description: FORTRAN programming with applications in the sciences and engineering; structured programming, including top-down design, control structures, subroutines, good programming style, and documentation; an introduction to calculus-based algorithms and the use of scientific subroutine libraries. |
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| CSCI 2000 | 3 | Structured Programming I | MATH 1510 or 1610 | CS 200 |
| Description: Time-shared computer systems; programming methodology and problem-solving techniques; numeric and string processing; static and dynamic data structures; procedures, functions, and recursion files. Conducted in the computer language C++. |
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| CSCI 3000 | 3 | Structured Programming II | CSCI 2000 | CS 300 |
| Description: Advanced programming techniques including software development methodologies, analysis of efficiency of algorithms, and representation of data structures; programming assignments in Ada. |
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| CSCI 3100 | 3 | Unix & C | CSCI 2000 | CS 310 |
| Description: An advanced survey of the C programming language and Unix-like operating systems. Emphasis given to the implementation of algorithms in C and to use of the major Unix utilities. |
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| CSCI 3600 | 3 | Fund. Algorithm Dsn. & Anal. | CSCI 3000 | CS 360 |
| Description: Algorithm development using pseudo-languages; elementary program structures; classification of algorithms; algebraic simplification and transformation; evaluation of polynomials; iteration; sorting; linear equations; basic search methods; backtracking. |
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| CSCI 4100 | 3 | Software Components | CSCI 3000 | CS 410 |
| Description: The abstraction and implementation of reusable computer software components with applications to data structures and algorithms, and to the engineering of large, software-intensive programs. Uses Ada; assumes a background in fundamentals of Ada. |
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| CSCI 4200 | 3 | Theory of Formal Languages | CSCI 3000 & MATH 4200 | |
| Description: Mathematical models of regular sets, context-free languages, and Turing machines; deterministic and non-deterministic models, closure properties, normal forms, and applications. |
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| CSCI 4970 | 3 | Special Topics in Comp. Sci. | Permission of Instructor | CS 499 |
| Description: The student will work under the direction of a staff member on some topic of mutual interest. With the approval of the Mathematics department head, CSCI 4970 may be taken on a pass/fail basis. |
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| CSCI 6100 | 3 | Software Components | CSCI 3000 | |
| Description: The abstraction and implementation of reusable computer software components with applications to data structures and algorithms, and to the engineering of large, software-intensive programs. Uses Ada; assumes a background in fundamentals of Ada. |
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| CSCI 6200 | 3 | Theory of Formal Languages | CSCI 3000 & MATH 4200 | |
| Description: Mathematical models of regular sets, context-free languages, and Turing machines; deterministic and non-deterministic models, closure properties, normal forms, and applications. |
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| CSCI 6970 | 3 | Special Topics in Comp. Sci. | Permission of Instructor | |
| Description: The student will work under the direction of a staff member on some topic of mutual interest. With the approval of the Mathematics department head, CSCI 6970 may be taken on a pass/fail basis. |
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| ENGR 1110 | 2 | Introduction to Engineering | Grade C or better in ENGL , Co-requisites: MATH 1610 & ENGL 1020 | |
| Description: Professional engineering history, modern branches, standards, and licensing. Introduction to engineering design and computer software packages. Communication (written, oral and graphical) in engineering. Collaboration and teamwork in engineering projects. |
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