MATH110 PRINCIPLES OF CONTEMPORARY MATH (3.00) Patterns and problem solving in counting and calculating with integers. Operations with fractions, rationals, and irrationals. Probability and statistics. For Education majors only.

MATH111 PRINCIPLES OF GEOMETRY (3.00) Geometric figures and reasoning. Measurement and geometry with coordinates. Equations and inequalities, graphs of linear and nonlinear relations. Motions in geometry. For Education majors only.

MATH112 SURVEY OF PROBLEM SOLVING (3.00) Problem solving techniques applied to set theory, logic, numeration systems, number theory, functions, patterns. relations, and matrices. History of selected mathematical ideas. Use of technology in problem solving. For Education majors only. Prerequisite: MATH 112 or equivalent

MATH113 MATHEMATICS OF FINANCE (3.00) Simple and compound interest, discounting, annuities, amortization and sinking funds, stocks, bonds, insurance.

MATH114 WOMEN IN MATHEMATICS (3.00) A mathematical topics course focusing on work done by women mathematicians in areas like number theory, groups, sequences, pre-calculus concepts, and geometry. Other topics include quilting and the geometry of women in South Africa. Prerequisite: MATH 105 or equivalent.

MATH115 TOPICS IN APPLIED MATHEMATICS (3.00) Topics in the application of elementary mathematics to real world problems: management science, voting schemes, theory of games, population growth, other models.

MATH116 ELEMENTARY STATISTICS (3.00) Description of sample data. Simple probability, theoretical distributions, normal and binomial estimation. Tests of hypotheses, correlation, regression.

MATH120 ELEMENTARY FUNCTIONS (3.00) Graphs and properties of functions, including polynomial functions, exponential functions, logarithmic functions, inverse functions and composition of functions. Applications to real world situations using algebraic, numerical, and graphical methods.

MATH125 MATHEMATICAL PERSPECTIVES (3.00) Exploration of easily accessible, engaging, and thematically connected mathematical ideas as a vehicle to lead students to experiences that are characteristic of the mathematical enterprise.

MATH147 CALCULUS FROM HISTORICAL PERSPEC (3.00) An overview of concepts from differential and integral calculus through excerpted readings in English translation of original texts which emphasizes connections with developments in science and philosophy.

MATH150 ELEMENTS OF CALCULUS I (3.00) Modeling data with polynomial functions, exponential functions, and logistic functions. Rates of change and the derivative. Application of the derivative including optimization and inflection points. The result of change and the definite integral. Prerequisite: MATH 120 or equivalent

MATH151 ELEMENTS OF CALCULUS II (3.00) Modeling with trigonometric functions, functions of several variables, contour maps, partial derivatives, and optimization with and without constraints. Prerequisite: MATH 150 or equivalent

MATH154 MILESTONES IN MATHEMATICS (3.00) Charts milestones in various branches of mathematics through the reading of original sources: number theory, infinity, Euclidean and non-Euclidean geometry, and algebra are all possible threads of development. Prerequisite: MATH 120 or equivalent

MATH156 GENERAL STATISTICS (3.00) Descriptive statistics, probability distributions, confidence intervals, hypothesis testing, regression, correlation, Chi-square tests analysis of variance, and nonparametric tests.

MATH170 CALCULUS I (4.00) Limits and continuity. Transcendental functions. The derivative, techniques of differentiation, and applications of the derivative. Parametric equations. The definite integral, numerical integration, antiderivatives, and method of substitution.

MATH171 CALCULUS II (4.00) Numerical integration, applications of the definite integral, techniques of integration, and improper integrals. Taylor polynomials. Sequences and series. Polar coordinates. Prerequisite: MATH 170

MATH180 ELEMENTS OF DISCRETE MATHEMATICS (3.00) Logic, methods of proof, mathematical induction, algorithmic thinking, recursion, set theory, functions and relations. Emphasis on proof-writing.

MATH200 MATHEMATICAL LOGIC (3.00) Axiomatic development of propositional calculus, functional complete sets of operators, axiomatic development of the first order function calculus, the existential operator, the algebra of logic.

MATH201 MATH STATISTICS I (3.00)

MATH210 ELEMENTARY LINEAR ALGEBRA (3.00) Geometry of 2- and 3-dimensional space. Systems of linear equations. Matrices and matrix arithmetic. Determinants, linear transformations, eigenvalues and eigenvectors, quadratic forms. Prerequisite: MATH 180

MATH220 CALCULUS III (4.00) Vectors, lines and planes. Functions of several variables, partial derivatives and applications, gradient and directional derivative. Multiple integrals, line integrals, Green's Theorem. Prerequisite: MATH 171

MATH230 DIFFERENTIAL EQUATIONS (3.00) Modeling with ordinary differential equations. Analytical, qualitative, and numerical techniques for first-order equations, first-order nonlinear systems, and linear systems. Prerequisite: MATH 220

MATH240 LINEAR ALGEBRA (3.00) Vector spaces, bases, linear transformations, change of basis. Eigenvalues and eigenvectors. Prerequisite: MATH 210

MATH300 GREAT MOMENTS IN MATHEMATICS (3.00) Some of the highlights in the historical development in mathematics with special attention given to the invention of non-Euclidean geometry and its importance for mathematics and Western thought.

MATH301 SURVEY OF GEOMETRIES (3.00) Axiom systems, models and finite geometries, convexity, transformations, Euclidean constructions, and the geometry of triangles and circles. Introduction to projective and non-Euclidean geometries.

MATH302 THEORY OF NUMBERS (3.00) Divisibility and primes, linear congruencies, quadratic residues and reciprocity. Diophantine equations, multiplicative functions, distribution of primes.

MATH310 SURVEY OF STATISTICS (3.00) Probability, central limit theorem, estimation, hypothesis testing, regression and correlation, nonparametric methods, goodness of fit, linear models.

MATH311 MATHEMATICAL STATISTICS I (3.00) Probability, probability distributions, characteristics of distributions, sampling, estimation.

MATH312 MATHEMATICAL STATISTICS II (3.00) Hypothesis testing, confidence intervals, regression, analysis of variance, nonparametric tests. Prerequisite: MATH 311

MATH320 INTRO TO OPERATIONS RESEARCH (3.00) Deterministic and stochastic models, newtwork analysis. Linear, nonlinear and integer programming. Classical optimization, inventory theory, queueing, Markov analysis.

MATH321 NUMERICAL ANALYSIS (3.00) Measures accuracy, sources of error, function evaluation and approximation, systems of linear equations, nonlinear equations, numerical differentiation and integration, and solutions to differential equations. Cross-listed Courses: CSCI321 Prerequisite: CSCI 170

MATH325 MATHEMATICAL MODELING (3.00) The synthesis, formulation and solution of various problems in applied mathematics and related fields.

MATH330 GRAPH THEORY (3.00) Graphs, subgraphs, trees, isomorphism, Eulerian and Hamiltonian paths, planarity, digraphs, connectivity, and chromatic number. Other topics may be included.

MATH340 ABSTRACT ALGEBRA I (3.00) Groups, isomorphism, homomorphism, normal subgroups, rings, ideals, fields. Prerequisite: MATH 240

MATH341 ABSTRACT ALGEBRA II (3.00) A continuation of MATH 340. Topics may include Boolean algebra, lattice theory, combinational group theory, coding theory, Galois theory, commutative rings. Prerequisite: MATH 340

MATH360 ELEMENTARY TOPOLOGY (3.00) Metric spaces, topological spaces, continuity, convergence, compactness, connectedness, and separation axioms.

MATH370 REAL ANALYSIS (3.00) Rigorous development of calculus of functions of a single variable. The real number system, topology of the real line, continuity, uniform continuity, the derivative, the Riemann integral, sequences and series of real numbers, and uniform convergence.

MATH372 APPLIED ANALYSIS (3.00) Vector analysis, special functions, orthogonal sets of functions. Sturm-Liouville theory. Fourier series, integrals and transforms.

MATH380 COMPLEX VARIABLES (3.00) Complex numbers, analytic functions, complex integration, series representation of analytic functions, the calculus of residues.

MATH397 SP READ & STUDY FOR ADV STUDENTS (3.00) (Credit by special arrangement.) Prerequisite: MATH 340