MATH 0900. Math Study Skills and Algebra Review. (1) This course prepares the student to be successful in college algebra or precalculus. Topics include a review of elementary algebra, exponents and radicals, polynomial and rational functions, equations and inequalities.  Study skills needed to be successful in mathematics are an important part of this course.  Placement into this course is based on the score on the Mathematics Placement Exam which is administered by the Mathematics Department. 

MATH 1100. College Algebra and Probability. (3) Prerequisite: appropriate score on the Mathematics Placement Test or placement by the Department. The basic mathematics course for undergraduates not majoring in Mathematics, Engineering, or the Physical Sciences. Fundamental concepts of algebra. (Credit may not be given for both MATH 1100 and 1103; students who already have credit for MATH 1120,1121, or 1241 with a grade of C or better may not take 1100 for credit.) (Fall, Spring, Summer) (Evenings) 

MATH 1102. Introduction to Mathematical Thinking. (3) Prerequisite: appropriate score on the Mathematics Placement Test or placement by the Department. An introduction to mathematical ideas designed primarily for non‑science students. Topics are drawn from various branches of mathematics which may include algebra, geometry, number theory, probability, statistics and graph theory. Computers may be used. (Fall, Spring) 

MATH 1103. Precalculus Mathematics for Science and Engineering. (3) Prerequisite: appropriate score on the Mathematics Placement Test or placement by the Department. Intended for students who plan to take MATH 1241. Functions and graphs, linear and quadratic functions, polynomial and rational functions, exponential and logarithmic functions, trigonometric identities. (Credit may not be given for both MATH 1100 and 1103; students who already have credit for MATH 1120, 1121, or 1241 with a grade of C or better may not take MATH 1103 for credit.) (Fall, Spring, Summer) (Evenings) 

MATH 1105. Finite Mathematics. (3) Prerequisite: appropriate score on the Mathematics Placement Test or placement by the Department. Review of high school algebra, elementary matrix algebra, systems of linear equations and inequalities, elementary linear programming; probability. (On demand) 

MATH 1120. Calculus. (3) Prerequisite: appropriate score on the Mathematics Placement Test, MATH 1100 or 1103, or placement by the Department. Intended for students majoring in fields other than engineering, mathematics or science. Elements of differential and integral calculus for polynomial, rational, exponential, logarithmic functions, with applications to business and the social and life sciences. (May not be taken for credit if credit has been received for MATH 1121 or 1241.) (Fall, Spring, Summer) (Evenings) 

MATH 1121. Calculus (ET).  (3) Prerequisite: appropriate score on the Mathematics Placement Test;  MATH 1100 or 1103; or placement by the Department. Intended for students majoring in Engineering Technology. Elements of differential and integral calculus for polynomial, rational, exponential, logarathmic and trigonometric functions, with applications to engineering. May not be taken for credit if credit has been received for MATH 1120 or 1241. (Fall, Spring) (Evenings) 

MATH 1165. Introduction to Discrete Structures. (3) Prerequisite: ITCS 1214.  Propositions and truth tables, sets, permutations and combinations, relations and functions, lattices, and trees. (Fall, Spring, Summer) (Evenings) 

MATH 1241. Calculus I.  (3) Prerequisite: appropriate score on the Mathematics Placement Test; MATH 1103 with a grade of C or better, or placement by the Department.  Designed for students majoring in Mathematics, Science, or Engineering.  Elementary functions, derivatives and their applications, introduction to definite integrals. (Fall, Spring, Summer) (Evenings) 

MATH 1242. Calculus II.  (3) Prerequisite: MATH 1241 with a grade of C or better.  Methods for evaluating definite integrals, applications of integration, improper integrals, infinite series, Taylor series, power series, and introduction to differential equations. (Fall, Spring, Summer) (Evenings) 

MATH 2050. Topics in Mathematics. (2‑3) Prerequisite: consent of the Department. Topics in mathematics elected to supplement regular offerings at the 2000 level. (May or may not count for a Math core course for the ITCS major.) May be repeated for additional credit with the approval of the Department. (On demand) 

MATH 2120.  Intermediate Applied Calculus. (3)  Prerequisite: MATH 1120 or MATH 1241. Introduction to the calculus of functions of several variables, trigonometric functions, techniques of integration of functions of one variable, differential equations, and Taylor polynomials and infinite series. (May not be taken for credit if credit has been received for MATH 1242.) (Fall, Spring, Summer) (Evenings)

MATH 2164. Matrices and Linear Algebra. (3) Prerequisite: MATH 1120 or 1241 with a grade of C or better or consent of the Department. Matrix algebra, systems of linear equations, vector spaces, linear transformations, determinants, inner products, eigenvalues. (Fall, Spring, Summer) (Evenings)

MATH 2171. Differential Equations. (3) Prerequisite: MATH 1242 with a grade of C or better. An introduction to ordinary differential equations including first order equations, general theory of linear equations, series solutions, special solutions, special equations such as Bessel's equation, and applications to physical and geometric problems. (Fall, Spring, Summer) (Evenings) 

MATH 2241.  Calculus III.  (3) Prerequisite: MATH 1242 with a grade of C or better.  Functions of two or more variables, vectors in two and three dimensions, partial derivatives, optimization, double and triple integrals and their applications.  (Fall, Spring, Summer)  (Evenings) 

MATH 2242.  Calculus IV.  (3) Prerequisite: MATH 2241 with a grade of C or better.  Parametric curves and surfaces, vector fields, line and surface integrals; Green's theorem, Divergence theorem, Stoke's theorem and applications.  Fourier series and its applications.  (Fall, Spring) (Evenings) 

MATH 2340. Number Concepts and Relationships. (3) Prerequisite: MATH 1100 or MATH 103 with a grade of C or better or consent of the Department.  A study of integers, rationals, and real numbers; conjectures and intuitive proofs in a number theory; number sequences, patterns, functions; algebraic concepts and skills.  An emphasis on the development of problem-solving strategies and abilities. (May not be taken for the major or minor). (Spring) 

MATH 2341. Algebra and Algebraic Structures. (3) Prerequisites: MATH 2340 with a grade of C or better or MATH 2102 with a grade of C or better or consent of the Department.  A study of functions and their properties arising from a variety of problem situations.  Representations of real-world relationships with physical models, charts, graphs, equations, and inequalities.  Properties of real and complex numbers.  Concrete examples of algebraic structures such as groups, rings, fields, and vector spaces. (Fall) 

MATH 2342. Data Analysis and Probability. (3) Prerequisite: STAT 1220 or STAT 1222 with a grade of C or better or consent of the Department.  Introduction to the statistical process.  Collection of data from experiments and surveys; organizing, representing, and interpreting data; formulating arguments based on analysis.  Plan and conduct experiments and simulations to determine experimental probabilities.  Develop counting techniques and other methods to determine probabilities. (May not be taken for the major or minor). (Spring) 

MATH 2343.  Geometry and Measurement. (3) Prerequisite: MATH 1100 or MATH 1103 with  a grade of C or better or consent of the Department.  A study of properties and relationships of shape, size, and symmetry in two and three dimensions.  Explore concepts of motion in two and three dimensions through transformations.  Present written and oral arguments to justify conjectures and generalizations. Become familiar with the historical development of Euclidean geometry. (May not be taken for the major or minor). (Fall) 

MATH 2428.  Mathematical Theory of Interest. (3)  Prerequisite: MATH 2120 or MATH 1242. The measurement of interest, solution of problems in interest, basic annuities, more general annuities, yield rates, amortization schedules and sinking funds, bonds and other securities. (Fall, Spring, Summer) (Evenings)

MATH 3050. Selected Topics in Mathematics. (2‑3) Prerequisite: Consent of the Department. Topics selected to supplement regular offerings at the 3000 level in mathematics or statistics. May be repeated for credit with the approval of the Department. (On demand) 

MATH 3116. Graph Theory. (3) Prerequisite: MATH 2164 or consent of the Department. Graphs as mathematical models. Planarity, colorability, connectivity, trees. Applications and algorithms for networks, matching problems and areas of computer science. (Fall) (Alternate years) 

MATH 3122. Probability and Statistics I. (3) Prerequisite: MATH 2241 with a grade of C or better. Sample spaces, random variables, moment generating functions, some standard distributions, multivariate distributions, laws of large numbers, limit theorems. (Fall) (Evenings) 

MATH 3123. Probability and Statistics II. (3) Prerequisite: MATH/STAT 3122. Estimation, bias, consistency, efficiency, maximum likelihood estimates, sufficient statistics, testing, the power function, chi‑square test, Kolmogorov‑Smirnov test.  Credit for mathematics major not given for both MATH 3125 and MATH/STAT 3123. (Spring) (Evenings) 

MATH 3128.  Actuarial Science I. (3) Prerequisites: MATH 3122 or the consent of the Department.  The mathematical theory of compound interest.  The theory and application of contingency mathematics in the life and casualty areas.  Probabilistic and deterministic models for annuities and pensions. (Fall) 

MATH 3129.  Actuarial Science II. (3) Prerequisites: MATH 3128 or the consent of the Department.  Deterministic and probabilistic models for annuities and pensions, additional models  of risks and financial transactions. (Spring) 

MATH 3141. Advanced Calculus of One Variable. (3) Prerequisites: MATH 2241 and 2164 with grades of C or better. Topology of the real line; continuity, uniform continuity, differentiability, integration, sequences and series of functions. (Fall) (Evenings) 

MATH 3142. Advanced Calculus of Several Variables.  (3) Prerequisite: MATH 3141. Continuity and differentiability of functions of several variables, inverse and implicit function theorems, integration, Fubini's theorem, change of variables, the classical integral theorems of Gauss, Green and Stokes and their generalizations. (Spring) (Evenings) 

MATH 3146. Introduction to Complex Analysis. (3) Prerequisite: MATH 2241 with a grade of C or better. Analytic functions, complex integration, calculus of residues, conformal mapping. (Spring) (Alternate years) 

MATH 3163. Introduction to Modern Algebra. (3) (W) Prerequisite: MATH 1242 and MATH 2164 with a grade of C or better or consent of the Department. Examples and elementary properties of basic algebraic structures, especially groups. The course emphasizes the writing of proofs of elementary theorems. (Fall, Spring) (Evenings) 

MATH 3166. Combinatorics. (3) Prerequisites: MATH 2164. Combinatorial modeling, generating functions, recurrence relations, inclusion‑exclusion principle and problems from recreational mathematics. (Spring) (Alternate years) 

MATH 3171. Applied Mathematics. (3) Prerequisites: MATH 2241 and 2171 with grades of C or better. Separation of variables techniques for the classical partial differential equations of mathematical physics; Fourier series; Sturm‑Liouville theory. (Fall) (Evenings)  

MATH 3176. Numerical Analysis. (3) Prerequisites: ITCS 1214, MATH 2241 and 2171. Numerical solution of initial value and boundary value problems in ordinary differential equations, direct and iterative methods of solving systems of equations. Selected problems will be programmed for computer solution. (Spring) (Alternate years)   

MATH 3181. Fundamental Concepts of Geometry.  (3) Prerequisite: MATH 2164 with a grade of C or better. Foundations of geometry, transformations, comparison of Euclidean and non‑ Euclidean geometries. (Fall, Spring) (Evenings) 

MATH 3551. Mathematics Cooperative Education or 49ership Experience. (0) Prerequisites: Sophomore standing, a 3.0 GPA in MATH/STAT/OPRS courses and consent of the Department of Mathematics. Acceptance into the Experiential Learning Program by the University Career Center is required. The student will be employed in a manner that affords him/her the opportunity of using and enhancing mathematical knowledge and skills through practical experience of  co-op rotation or 49ership experience. Participating students pay a registration fee for transcript notation  (49ership and co-op) and receive full-time student status (co-op only). Assignments must be arranged and approved in advance.  Course may be repeated; evaluation is Satisfactory/Unsatisfactory.  For more information, contact the University Career Center.  After completing MATH 3551, the co-op student must take MATH 3652. MATH 3551 may be repeated with consent of the Department.  Evaluation is  Satisfactory/Unsatisfactory. (On demand)  

MATH 3652. Mathematics Cooperative Education Seminar. (1) Prerequisite: MATH 3551. The student will give an exposition of his/her work experience in MATH 3551. An exposition of underlying theoretical concepts and related ideas may also be required. (On demand) 

MATH 3688. Mathematics Awareness Seminar. (0) Prerequisite: sophomore standing. Visiting speakers, discussion of internships, cooperative education and job opportunities;  selected topics in mathematics. (Fall) 

MATH 3689. Mathematics Project Seminar. (1) (O) Prerequisite: senior standing. Oral presentation by the student on an area of mathematics or a mathematical problem. (Fall, Spring)   

MATH 3691. Seminar. (1‑6) Prerequisite: Consent of the Department. Readings, study and discussion designed to develop the student's ability to study independently and to present results properly. (On demand) 

MATH 3790. Junior Honors Seminar. (3) Prerequisite: consent of the Department. May be repeated once for additional credit with approval of the Department. (On demand) 

MATH 3791. Senior Honors Tutorial. (3) Prerequisite: Consent of the Department. Individual tutorials in which the student will pursue independent study and research in any area of mathematics under the direction of one or more faculty members. The project of the student will be planned to culminate in a research paper of original or expository nature. May be repeated for additional credit with the approval of the Department. (On demand)  

MATH 4000. Topics in Foundations or History of Mathematics. (2‑3) Prerequisite: Consent of the Department. Topics in the foundations or the history of mathematics selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with approval of the Department. Credit for the M.A. degree in Mathematics requires approval of the Department. (On demand) 

MATH 4040. Topics in Analysis. (2‑3) Prerequisite: consent of the Department. Topics in analysis selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with the approval of the Department. Credit for the M.A. degree in Mathematics requires approval of the Department. (On demand) 

MATH 4051.  Computer Exploration and Generation of Data. (3) (O)  Prerequisites: MATH 2120 or 2241 and STAT 2122 or 2223. This is a project course. The grade will be based on from four to five projects that will utilize spreadsheet technology.  It includes an introduction to a major spreadsheet, such as Excel.  Assigned projects may be selected from a range of topics that include: Data Analysis and Exploration; Dynamical Models and Difference Equations (Epidemics, Harvesting Models, Population Dynamics, Predator-Prey Models); Physical Models (projectile motion, including air resistance, orbits of celestial bodies, heat propagation); Combinatorics and Probability (birthday problem, genetics, simulation of distributions); Optimization (inventory control, apportionment algorithms); Financial Mathematics (Stock Price Simulation, Pricing of Derivatives); Business Simulations (Net Present Value Comparisons and Risk Evaluation, Sensitivity Analyses). Completed projects must include written descriptions, explanation, and evaluation along with appropriate working spreadsheets that accomplish the assigned objectives. (Fall, Spring) (Evening)

MATH 4060. Topics in Algebra. (2‑3) Prerequisite: Consent of the Department. Topics in algebra selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with the approval of the Department. Credit for the M.A. degree in Mathematics requires approval of the Department. (On demand) 

MATH 4080. Topics in Geometry and Topology. (3) Prerequisite: Consent of the Department. Topics in geometry or topology selected to supplement regular course offerings in this area of mathematics. May be repeated for credit with approval of the Department. Credit for M.A. degree in Mathematics requires approval of the Department. (On demand) 

MATH 4109.  History of Mathematical Thought. (3) Prerequisite: MATH 1241 or consent of the Department. A study of the development of mathematics in its historical setting from the earliest beginnings to modern times. Not approved for the M.A. in mathematics degree. (Fall) (Evenings) 

MATH 4122.  Probability and Stochastic Models. (3) Prerequisite: STAT 2223 or MATH/STAT 3122. Topics include a brief review of probability, normal random variables, the Central Limit Theorem, and applications to Statistics; Poisson process, the exponential distribution, and applications in actuarial science; the binomial branch model of option pricing. (Spring) (Alternate years) 

MATH 4128.  Risk Theory.  (3) Prerequisites: MATH 2120 or MATH 1242, STAT 2223 or MATH/STAT3122, and STAT 3110. Topics include an introduction to risk theory and the concept of VAR (Value-at-Risk), building blocks consisting of measuring financial risk, computing VAR, backtesting, portfolio risk, forecasting risks and correlation, and a study of VAR Systems including VAR Methods, stress testing, delta-normal VAR, simulations, credit and liquidity risk. (Spring) (Alternate years) 

MATH 4161. Number Theory. (3) Prerequisite: MATH 3163 with a grade of C or better or consent of the Department. A study of the elements of classical number theory including divisibility, congruences, diophantine equations, prime numbers and their distribution, quadratic reciprocity, number‑theoretic functions, and famous unsolved problems. Not approved for the M.A. in mathematics degree. (Spring) (Alternate years) 

MATH 4163. Modern Algebra. (3) Prerequisite: MATH 3163 or consent of the Department. Groups, rings, integral domains, and fields. (Fall) (Alternate years) 

MATH 4164. Abstract Linear Algebra. (3) Prerequisite: MATH 2164 and 3163 or consent of the Department.  Vector spaces over arbitrary fields, linear transformations, canonical forms, and multilinear algebra. (Spring) (Alternate years) 

MATH 4181. Introduction to Topology. (3) Prerequisite: MATH 2164 with a grade of C or better. Topics from set theory and point set topology such as cardinality, order, topological spaces, metric spaces, separation axioms, compactness and connectedness. (Fall) (Alternate years)     

MATH 4691. Seminar. (1‑6) Prerequisite: Consent of the Department. Individual or group investigation and exposition of selected topics in mathematics. (On demand) 

MATH 4692. Seminar. (1‑6) Prerequisite: Consent of the Department. A continuation of MATH 4691. (On demand)