MATH 015- Arithmetic and Pre-Algebra (3 cr.)
Preparation for MATH 025. Arithmetic with whole numbers, signed numbers, and fractions. Order of operations, variables, simplifying of algebraic expressions. Concrete representations of arithmetic operations and algebraic concepts are emphasized. Particularly appropriate for students who experience anxiety when learning mathematics.
MATH 024 - Elementary Algebra (4 cr.)
Preparation for MATH 085, MATH 130, and MATH 137. Review of arithmetic including operations on fractions and the use of order of operations. Review of pre-algebra including simplification of expressions and use of the distributive property. Solving of equations and inequalities in one variable. Graphing of linear equations and inequalities. Solving systems of linear equations. Emphasis on solving word problems and using equations and graphs of equations. Introduction to optimization problems using graphical methods. Introduction to functions. Introduction to probability. Alternative strategies for learning mathematics.
MATH 025 - Basic Algebra and Geometry (3 cr.)
Preparation for MATH 85, MATH 130, and MATH 137. Brief review of arithmetic including operations on fractions and the use of order of operations. Solving of equations and inequalities in one variable. Graphing of linear equations and inequalities. Solving systems of linear equations. Emphasis on solving word problems and using equations and graphs of equations. Introduction to optimization problems using graphical methods.
MATH 085 - Intermediate Algebra (3 cr.)
Preparation for MATH 143, College Algebra, MATH 157, Foundations of Elementary Math I and/or MATH 160. Equations and inequalities, word problems, factoring, algebraic fractions, exponents, radicals, quadratic equations, exponential and logarithmic equations. Graphing calculators and computer algebra systems used throughout course. Prerequisite: A Grade of "C" or better in MATH 024 or MATH 025 or GENTC 103 or satisfactory placement score. Course Fee.
MATH 123 – Math for
Technology (4 cr.)
This course fulfills the skills component of the General Education core and is designed to provide students with a solid foundation in those areas of algebra, geometry, and trigonometry that are currently pervasive in technical fields. Topics include linear and quadratic equations, systems of linear equations, geometry and geometric solids, right and oblique triangle trigonometry, and periodic functions. This course is cross-listed with MATHPT 123. Prerequisite: A Grade of "C" or better in MATH 024 or MATH 025 or GENTC 103 or satisfactory placement score. Course Fee.
MATH 130 - Finite Mathematics (4 cr.)
Systems of linear equations and inequalities, elementary matrix algebra, introduction to linear programming, elementary discrete probability and statistics. Emphasis on applications to business, economics and social sciences. This course is cross-listed with MATHPT 130. Prerequisite: A Grade of "C" or better in MATH 024 or MATH 025 or GENTC 103 or satisfactory placement score. Course Fee.
MATH 137 - Algebra and Trigonometry with Applications (4 cr.)
Cartesian coordinate system, representations of lines, functions of one or more independent variables, polynomial, radical, exponential, and logarithmic equations, matrix algebra, systems of equations, radian and degree measure, right-angle trigonometry, law of sines and cosines, and vectors in applied settings. The course will emphasize technical applications. Prerequisite: A Grade of "C" or better in MATH 024 or MATH 025 or GENTC 103 or satisfactory placement score. Course Fee.
MATH 143 - College Algebra (3 cr.)
Emphasis on the concept of (real-valued) functions as mathematical entities, including domain, range, algebraic operations, composition, inverses, graphing. Polynomial functions, division of polynomials, roots of polynomials, theory of equations, complex numbers, fundamental theorem of algebra. Rational functions and asymptotes. Logarithmic and exponential functions. Multi-level algebraic manipulation of complicated functional expressions-e.g., difference quotients. Conic sections, translation of axes, distance from point to line. Prerequisite: A Grade of "C" or better in MATH 085 or satisfactory placement score. Course Fee.
MATH 144 - Trigonometry (2 cr.)
Right-triangle and circular function approaches to trigonometry. Trigonometric identities. Graphs of trigonometric functions; amplitude, frequency, phase shift. Inverse trigonometric functions and their graphs. Polar coordinates, polar representation of complex numbers. Corequisite: MATH 143.
MATH 157 - Foundations of Elementary Mathematics (3 cr.)
An overview of the mathematics taught in grades K-8. Topics from set theory, logic, number theory, and functions. Stresses skills and cognitive understanding. Prerequisite: A Grade of "C" or better in MATH 085 or MATH 137 or satisfactory placement score.
MATH 160 - Brief Calculus (4 cr.)
A survey of the essentials of calculus, intended mainly for students in biological and social sciences, business and liberal arts; emphasis on applications to such areas. Basic concepts and computational techniques for functions, derivatives, and integrals, with emphasis on polynomial, rational, exponential and logarithmic functions. Very brief introduction to calculus of functions of several variables. Prerequisite: A Grade of "C" or better in MATH 085 or MATH 137 or satisfactory placement score. Course Fee.
MATH 170 - Calculus I (4 cr.)
Definitions of limit, derivative, antiderivative, definite integral. Computation of the derivative, including logarithmic, exponential, and trigonometric functions. Applications of the derivative, optimization, mean value theorem. The fundamental theorem of calculus, brief introduction to applications of the integral and to computation of antiderivatives. Intended for students in engineering, mathematics, and the sciences. Prerequisites: A Grade of "C" or better in MATH 143 and MATH 144, or satisfactory placement score.
MATH 175 - Calculus II (4 cr.)
Applications of the integral, symbolic and numerical techniques of integration, inverse transcendental functions. Sequences and series, with an emphasis on power series and approximation. Prerequisite: A Grade of "C" or better in MATH 170.
MATH 186 - Discrete Mathematics (3 cr.)
Topics such as sets, functions, algorithms, logic, combinatorics, graph theory, trees, networks and Boolean algebra are included. This course consists of numerous topics which are particularly valuable to students pursuing a computer science minor. Prerequisite: A Grade of "C" or better in MATH 085 or satisfactory placement score.
MATH 254 - Statistical Methods for the Sciences (4 cr.)
Biometry is designed to develop an ability to use descriptive statistics as it is applied to the life sciences. A student will learn to generate confidence intervals, test hypotheses, create mathematical models and perform regression analysis. Computer assisted methods will be used throughout. Prerequisite: A Grade of "C" or better in Math 085 or satisfactory placement score.
MATH 257 - Foundations of Elementary Mathematics II (3 cr.)
Continuation of MATH 157. Emphasis on conceptual understanding of, and communication of mathematical principles. Content emphasis on probability, statistics, geometry, and algebraic structures. Prerequisite: A Grade of "C" or better in MATH 157.
MATH 275 - Calculus III (4 cr.)
Vector algebra and geometry, functions of several variables, partial and directional derivatives, gradient, chain rule, optimization, multiple and iterated integrals. Parametric curves and surfaces in 3-space, vector fields, divergence and curl, line and surface integrals. Green's, Stoke's and divergence theorems. Prerequisite: A Grade of "C" or better in MATH 175.
MATH 300 - Introduction to Mathematical Reasoning (3 cr.)
Introductory topics in mathematics- logic, set theory, properties of the real line- number theory, induction, mappings, rigorous treatment of limits of sequences. Emphasis is on the concept of theorem and proof. Prerequisite: A Grade of "C" or better in MATH 175.
MATH 320 - Probability and Statistics (3 cr.)
Sample spaces, random variables, central limit theorems, stochastic processes, estimation and testing of hypotheses. Prerequisite: A Grade of "C" or better in MATH 175.
MATH 325 - Linear Programming and Game Theory (3 cr.)
Geometric solutions, the simplex method, duality, the revised simplex method, sensitivity analysis, integer programming and applications. Prerequisite: A Grade of "C" or better in MATH 160 or MATH 170.
MATH 328 - Methods of Teaching Secondary School Mathematics (5 cr.)
Strategies for teaching topics in algebra, geometry, trigonometry, linear algebra, probability and statistics, computing science and the calculus. Prerequisites: A Grade of "C" or better in MATH 175 and MATH 340 and knowledge of a high level programming language.
MATH 330 - Mathematical Modeling (3 cr.)
Methodology of modeling and problem solving, common equations that arise in mathematical models, optimization techniques, probability and stochastic processes, physical and biological applications, social and behavioral applications, hierarchies and priorities, computer-aided modeling and problem solving. Prerequisites: A Grade of "C" or better in MATH 275 and a computer science course.
MATH 340 - Linear Algebra (3 cr.)
Systems of linear equations, Gaussian elimination, matrices vector spaces, linear independence, basis, dimension, inner products, orthogonal projections, orthonormal bases. Determinants, eigenvalues and eigenvectors. Positive definite matrices. Prerequisite: A Grade of "C" or better in MATH 175.
MATH 345 - Ordinary Differential Equations (3 cr.)
Separation of variables, variations of parameters- methods of characteristic roots, undetermined coefficients- systems of differential equations. Laplace transform, and power series. Prerequisite: A Grade of "C" or better in MATH 340.
MATH 390 - Postulational Geometry (3 cr.)
Postulates of Euclid and Hilbert, nonEuclidian geometry and projective geometry. Understanding of high school geometry is emphasized. Prerequisite: A Grade of "C" or better in MATH 170.
MATH 420 - Advanced Probability and Statistics (3 cr.)
Distribution functions- moment and probability generating functions- joint, marginal and conditional distributions- correlations- distributions of functions of random variables- Chebyshev's inequality- convergence in probability- limiting distributions- power test and likelihood ratio tests- introduction to Bayesian and nonparametric statistics- additional regression topics. Prerequisite: A Grade of "C" or better in MATH 320.
MATH 433 - Numerical Analysis (3 cr.)
Numerical methods useful in solving applied problems. Includes numerical integration, numerical solutions of differential equations, difference equations, and boundary value problems. Prerequisites: A Grade of "C" or better in MATH 275 and knowledge of a programming language.
MATH 450 - Complex Analysis (3 cr.)
Complex numbers and functions, complex derivatives and integrals, residue theory, conformal mappings and uniform convergence. Prerequisite: A Grade of "C" or better in MATH 300.
MATH 460 - Abstract Algebra I (3 cr.)
Groups, subgroups, permutation groups, homomorphism and quotient groups. Rings, subrings, ideals and quotient rings. Polynomials, integral domains and fields of quotients. Introduction to Galois theory. Prerequisite: A Grade of "C" or better in MATH 300.
MATH 461 - Abstract Algebra II (3 cr.)
Rings, subrings, ideals and quotient rings. Polynomials, integral domains and fields of quotients. Field extensions and splitting fields. Fundamental Theorem of Galois Theory. Prerequisite: A Grade of "C" or better in MATH 460.
MATH 470 - General Topology (3 cr.)
An introduction to the fundamental concepts of general topology including set theory, metrics, neighborhoods, bases, subspaces, mappings, continuity, separation axioms, compactness and connectedness. Prerequisite: A Grade of "C" or better in MATH 300.
MATH 480 - Real Analysis I (3 cr.)
Axioms for the real numbers. Limits of sequences, limits of functions, continuity, compactness, the derivative and the Riemann integral. Prerequisite: A Grade of "C" or better in MATH 300.
MATH 481 - Real Analysis II (3 cr.)
Riemann-Stieltjes integration. Functions of bounded variation. Differentiation and Integration in n-space. Lebesgue integration. Prerequisite: A Grade of "C" or better in MATH 480.
MATH 290/490
- Directed Readings in Mathematics (1-3 cr.)
Prerequisite: A Grade of "C" or better in MATH 170 or permission of the division.
MATH 291/491 - Workshop in Mathematics (1-3 cr.)
MATH 292/492 - Special Topics in Mathematics (1-3 cr.)
MATH 295/495 - Practicum in Mathematics (1-2 cr.)
Tutoring in the mathematics laboratory or functioning as a teacher's aide in a lower division mathematics course. Prerequisite: Approval of the division chair. May be repeated for a total of 4 credits.
MATH 499 - Senior
Project & Seminar (1-3 cr. )
Prerequisite: A Grade of "C" or better in NS 398.
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