Undergraduate Courses

Courses in Mathematics [MATH]

1010 Mathematics for General Studies. Three credits. Prerequisites: Two years of high school algebra and a MATH Enhanced ACT of at least 19 or DSM 085 or AAPP placement, sophomore status. Course satisfies the Area IV-B General Studies requirement and is also part of the mathematics sequence for students preparing to become elementary school teachers. Topics include logic, sets, algebraic reasoning, probability, statistics, and consumer mathematics.

1410 Concepts and Structure of Elementary School Mathematics.  Three credits. Prerequisites: Two years of high school algebra and a Math Enhanced ACT of at least 19 or DSM 085 or AAPP placement. Required for students who are preparing to become elementary school teachers. Does not satisfy the Area IV-B General Studies requirement. Topics include tools for problem solving, sets functions, logic, numeration systems, whole numbers, integers, and rationals. Successful completion of an Arithmetic Proficiency Test (APT) is required.

1420 Informal Geometry.  Three credits. Prerequisite: A grade of C or better in MATH 1410. Required for students who are preparing to become elementary school teachers. Does not satisfy the Area IV-B General Studies requirement. Topics include an informal study of plane, solid, and coordinate geometry, constructions, congruencies, similarity, motion geometry, concepts of measurement, and LOGO.

1530 Applied Statistics.  Three credits.  Prerequisites:  Two years of high school algebra and a Math Enhanced ACT 19 or greater or equivalent.  Descriptive statistics, probability, and statistical inference unit covers means, proportions, and variances for one and two samples, and topics from one-way ANOVA, regression and correlation analysis, chi-square analysis, and nonparametrics.

1630 College Mathematics for Managerial, Social, and Life Sciences. Three credits. Prerequisites: Two years of high school algebra and a Math Enhanced ACT greater than 25 or MATH 1710. Topics include solving systems of linear equations, Leontief models, linear programming, mathematics of finance, set theory, and probability theory..

1710 College Algebra. Three credits. Prerequisite: DSPM 0850 or two years of high school algebra; a Math Enhanced ACT 19 or greater or COMPASS placement.  Course satisfies the General Education Mathematics requirement.  Topics include functions--linear, quadratic, exponential, and logarithmic; analysis of graphs; linear systems; inequalities; counting principles; and probability.  Graphing calculator required.  Course may be taken by correspondence.  Not open to those who have had MATH 1730.

1720 Plane Trigonometry. Three credits. Prerequisite: Strong background in algebra recommended. Trigonometric functions of the acute and general angle, circular functions, graphs of trigonometric and inverse functions, identities, solutions of right and general triangles, equations, complex numbers, and vectors. Not open to those who have had MATH 1730. Graphing calculator required.

1730 Algebra and Trigonometry. Four credits. Prerequisite: MATH 1710 or successful completion of high school precalculus course.  An integrated and rigorous study of the algebra and trigonometry needed to successfully attempt calculus.  Emphasis on functions, their analysis and their applications.  Level of algebraic sophistication developed above that found in MATH 1710.  Topics include exponentials and logarithms, analysis of graphs, and word problems.  Graphing calculator required.

1810 Applied Calculus 1.  Three credits.  Prerequisite:  Eligibility to take MATH 1710.  First of a four-course sequence.  Introduces mathematical modeling applied to real-world problems.  Sets, functions, inverse models, limits, continuity, first and second order model building, single variable differentiation, implicit differentiation, inverse problems (exponential and log models).  First and second derivatives used to study the behavior of real-world applications

1820 Applied Calculus II.  Three credits.  Prerequisite:  MATH 1810.  Second of a four-course sequence.  Riemann Sum, indefinite and definite integrals, modeling using substitution, differential equations with initial conditions, modeling real-world problems using functions of two or more variables, level curves, feasible regions, linear objective functions, system of linear equations, annuities, partial derivatives, least squares, matrix multiplication and addition, inverse matrix, and matrix equations.

1910 Calculus I. Four credits. Prerequisite: MATH 1730 or equivalent.  An introduction to calculus with an emphasis on analysis of functions, multidisciplinary applications of calculus, and theoretical understanding of differentiation and integrations.  Topics include the definition of the derivative, differentiation techniques, and applications of the derivative.  Calculus topics related to trigonometric, exponential, and logarithmic functions also included.  Course concludes with the fundamental theorem of calculus; the definition of antidifferentiation and the definite integral; basic applications of integrations; and introductory techniques of integrations.  Graphing calculator required.

1920 Calculus II. Four credits. Prerequisite: MATH 1910. A topics course providing a wide view of different techniques and applications of calculus in the plane.  Techniques of integrations of applications of integrations fully developed.  Power series and Taylor series included.  Emphasis on multidisciplinary applications includes Taylor series approximations; applications of integrations of physics, biology, and business; and geometric and power series applications.  Graphing calculator required.  

2010 Elements of Linear Algebra. Three credits. Prerequisite: MATH 1910. Vectors and vector spaces, matrices and systems of linear equations, geometry of vector spaces and linear transformations in a vector space.

2050 Probability and Statistics.  Three credits.  Prerequisite:  Calculus 1. Data analysis, probability, and statistical inference.  The inference material covers means, proportions, and variances for one and two samples, one-way ANOVA, regression and correlation, and chi-square analysis.

2090 Mathematics for Health Professions. Two credits. Enables students in the health professions to apply mathematical concepts to interpret and solve drug dosage calculation problems encountered in fields such as nursing.  Includes basic math review, solid and liquid doses of medications for adults and children, solutions, and IV administration.  Also includes conversions from metric to household and apothecary measurements.  Not open to Mathematics majors or minors.

2110 Data Analysis. One credit. Grouping and classifying technical data. Curve fitting by statistical and non-statistical methods. Graphing of scientific data.  Secondary education in mathematics students should take concurrent or subsequent to MATH 2050.

2130 Mathematics of Finance. Three credits. Prerequisites: Two years of high school algebra and a Math Enhanced ACT 19 or greater or DSM 085. Investment finance, including general annuities, evaluation of bonds, and life annuities.

3020 Applied Calculus III.  Three credits.  Prerequisites:  MATH 1810 and 1820.  In-depth study of continuity of single variable functions; inverses of functions; differentiation and integrations of various functions including trigonometric functions, logarithmic functions, exponential functions, power functions, and piecewise functions; methods of integrations; the Riemann Sum, extensive applications of the fundamental theorem of calculus, and arc length of a curve.  Emphasis on real-world applications.

3030 Applied Calculus IV.  Three credits.  (Same as ACSI 3030.)  Prerequisite: MATH 3020.  In-depth study of L'Hopital's Rule, improper integrals, sequences, convergence and divergence of series, Taylor and Maclaurin series, approximations for single-variable functions, two-and three-dimensional vector spaces, vector-valued functions, polar coordinates, and partial differentiation and integration of multivariate functions.  Emphasis on blending these topics with real-world applications.

3070 College Geometry. Three credits. Prerequisite: MATH 3460. Advanced treatment of standard topics in Euclidean geometry using informal and axiomatic approaches. Includes proofmaking techniques, traditional and transformational geometry, finite geometries, and a brief introduction to other geometries.

3080 Discrete Structures. Three credits. Prerequisites: CSCI 1160 or 1170 and MATH 1910 or consent of instructor.  Topics include formal logic, proof techniques, matrices, graphs, formal grammars, finite state machines, turing machines, and binary coding schemes. 

3110 Calculus III. Four credits. Prerequisite: MATH 1920. Adjusts calculus techniques developed in the plane (Calculus I and II) to make them applicable in three-dimensional space.  Introductory study of the nature of three-dimensional space and definition of the algebraic calculations in three-dimensional space.  Differential and integral calculus definitions and techniques revised to appropriately transfer into this new space.  Topics include multivariate functions, partial differentiation, partial integration, multiple integration, and multidisciplinary applications.

3120 Differential Equations I. Three credits. Co-requisite: MATH 3110. The solution and application of ordinary differential equations with emphasis on first order equations, second order linear equations, Laplace Transform method, systems of differential equations, and numerical methods.

3180 Introduction to Numerical Analysis. Three credits. (Same as CSCI 3180.) Prerequisites: MATH 1920 and CSCI 1160 or 1170. Topics include series approximation, finite differences, interpolation, summation, numerical differentiation and integration, iteration, curve fitting, systems of equations and matrices, and error analysis.

3190 Deterministic and Probabilistic Models. Three credits. Co-requisite: MATH 2050. Linear programming, network analysis, queuing theory, dynamic programming.

3260 Differential Equations II. Three credits. Prerequisite: MATH 3120. A continuation of MATH 3120 with emphasis on series solutions, method of Frobenius, orthogonal functions, equations of Bessel, Legendre, Gauss, Chebyshev; introduction to partial differential equations.

3320 Teaching Mathematics in Grades 5-8. Three credits. Prerequisite: Admission to the teacher education program. Required of all mathematics majors seeking a license to teach mathematics in grades 7-12. Strongly encouraged for elementary education majors with a 5-8 emphasis. Topics from number relationships, mental computation and estimation strategies, patterns and functions, algebra, statistics, probability, geometry, and measurement. Must be taken prior to student teaching.

3330 Teaching Mathematics in Grades 9-12. Three credits. Prerequisites: Admission to teacher education and completion of the mathematics core, AND math 3320.  Required of all mathematics majors seeking a license to teach mathematics in grades 7-12. In-depth study of mathematics learning and teaching strategies in secondary school mathematics. Selected topics from junior and senior high school curricula provide a foundation for student investigations into the conceptual nature of mathematics and applications in the secondary school curriculum. Must be taken prior to student teaching.

3400 Symbolic Logic. Three credits. (Same as PHIL 3400.)  The elements of propositional calculus-propositional connectives and their truth functions, validity, proof, and an introduction to quantification theory. Where appropriate and natural, parallels from elementary set theory are introduced. May count for credit in Philosophy.

3460 Foundation of Higher Mathematics. Three credits. Prerequisite: MATH 1920. The language of mathematics, set theory and proof, relations and functions, number systems, mathematical structures. Focuses on the transition from lower-level division study to upper-division study by actively engaging the student in problem solving, mathematical reasoning, and both informal and technical writing.

4010 Selected Topics in Elementary Mathematics.  Three credits. Prerequisites: MATH 1410, 1420, and 1010. Required of students who are preparing to teach grades 5-8. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and implications of these topics to the middle school classroom.

4200 Introduction to Mathematics of Investment. Three credits. (Same as ACSI 4200.)

4210 Advanced Calculus I. Three credits. Prerequisites: MATH 3110 and 3460. Theory and application of continuity, differentiation, and integration.

4220 Advanced Calculus II. Three credits. Prerequisite: MATH 4210. A continuation of MATH 4210 including theory and application of convergence.

4230 Vector Analysis. Three credits. Prerequisite: MATH 3110. A review of vector algebra and vector differentiation with emphasis on aspects of these topics not covered in previous calculus courses. Stress on line and surface integrals; Divergence Theorem and Stokes' Theorem with generalizations and related topics.

4250 Theory of Calculus. Three credits. Prerequisites: MATH 3110 and 3460.  Theoretical development of limits, continuity, differentiation, and integration in one dimension.

4270 Introduction to Topology. Three credits. Prerequisites: MATH 3110 and 3460. Fundamental concepts of topology including continuity, compactness, connectedness, separation axioms, and metric spaces.

4310 Numerical Analysis I. Three credits. Prerequisite: CSCI 1170 or MATH 2010 or consent of instructor. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

4320 Numerical Analysis II. Three credits. Prerequisite: MATH 4310. A continuation of MATH 4310.

4420 Number Theory. Three credits. Prerequisite: MATH 3460. Divisibility, congruencies, quadratic residues, Diophantine equations, quadratic forms, and continued fractions.

4470 Introduction to Modern Algebra. Three credits. Prerequisite: MATH 3460. A treatment of sets, relations, operations, and the construction of number systems in algebra.

4510 Abstract Algebra I. Three credits. Prerequisite: MATH 3460. An introduction to groups, with a brief introduction to rings, integral domains, and fields.

4530 Abstract Algebra II. Three credits. Prerequisite: MATH 4510/5510. The theory of rings, fields, integral domains, and vector spaces.

4540 Topics in Secondary School Mathematics. Three credits. Prerequisites: Admission to teacher education, completion of the mathematics core, MATH 3070 and 4510.  Required of all Mathematics majors seeking a license to teach mathematics in grades 7-12.  Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and applications of these topics to the pre-college level classroom.

4600 Problems in Contemporary Mathematics. One to six credits. Pass/Fail grading in specified sections.

4601 Problems in Contemporary Mathematics-Complex Variables. Three credits. Prerequisite: MATH 3460. Fundamental principles and applications of complex variables.

4620 History and Philosophy of Mathematics. Three credits. Prerequisite: MATH 3460. Background in geometry and number theory helpful. The character of mathematical thought by way of mathematical problems which have occupied successively the outstanding mathematicians of Babylon, Egypt, Greece, China, the Renaissance, and modern times paralleled with a study of three schools of mathematical philosophy: intuitionism, logicism, and formalism.

4630 Mathematics of Risk Management.  Three credits.  (Same as ACSI 4630)

4640 Mathematics of Options, Futures, and Other Derivatives.  Three credits.  (Same as ASCI 4640.)

4700 Combinatorics and Graph Theory. Three credits. Prerequisites: MATH 2010 and 3460. Selected topics in combinatorics and graph theory emphasizing combinatorial problem solving and algorithmic proof.

4800 Seminar in Mathematics with Technology. Three credits. Prerequisite: 18 semester hours in mathematics including calculus or consent of instructor. Examine and utilize the technological tools available for doing mathematics. Emphasis on non-numerical tools such as theorem provers and algebraic manipulation systems.

4990 Seminar in Mathematics.  Three credits.  Open only to Mathematics majors; normally taken during last regular semester of coursework.  Required of all Mathematics majors.  Offers graduating Mathematics majors a broad perspective of mathematics, mathematical activity, and problem solving in various areas of applications; offers preparation for professional examinations; acquaints students with job possibilities and aids in career decisions; acquaints students with the nature of graduate study in mathematics.  Pass/fail.

Courses in Statistics [STAT]  

3150 Mathematical Statistics 1.   Three credits. Prerequisites: Two semesters of calculus.  Probability theory including basic probability laws, properties of distributions, mathematical expectation, special discrete and continuous distributions, functions of random variables, and selected applications.

4190 Mathematical Statistics II. Three credits. Prerequisite: STAT 3150 or equivalent. Theory of statistical inference. Topics include sampling distributions, decision theory, estimation, test of hypothesis, regression analysis, analysis of variance, and selected applications.

4200 Statistical Methods for Forecasting. Three credits. Prerequisite: STAT 4190. Topics include the application of the regression model in forecasting regression and exponential smoothing methods to forecast non-seasonal time-series, seasonal series, and globally constant seasonal models, stochastic time series models; and forecast evaluation.)

4320 Probability and Stochastic Processes.  Three credits.  Prerequisites:  Two semesters of calculus and STAT 3150 (or MATH 2050) or consent of instructor.  Theoretical basis for stochastic processes and their use as models of real-world phenomena.  Topics include Markov chains, Poisson processes, Brownian motion and stationary processes.  Applications include Gambler's Ruin, birth and death models, hitting times, stock option pricing, and the Black-Scholes model.

4360 Regression Analysis. Three credits. Prerequisite: STAT 2050 or QM 3620. Theory and application of regression models. Approaches to model building and data analysis. Computation and interpretation of results facilitated through the use of statistical software packages.

4370 Nonparametric Statistics. Three credits. Prerequisite: MATH 2050 or equivalent. Statistical tests that require no assertions about parameters or about the form of the population from which the samples are drawn. A wide range of practical problems studied.

4380 Experimental Design. Three credits. Prerequisite: MATH 2050 or QM 3620. Topics include one-way analysis of variances, multiple comparison, multifactor analysis of variance, and various practical issues in experimental design. Computation and interpretation of results facilitated through the use of statistical software packages.

4600 Problems in Statistics. One to six credits. Prerequisites: Senior standing and consent of instructor. Students wishing to enroll must submit a written course/topic proposal to the department prior to the semester in which STAT 4600 is taken. Proposal must be approved prior to taking the course. At the conclusion, each enrollee must submit a written report to the department.

Courses in Actuarial Science [ACSI]

4140 Mathematical Foundations of Actuarial Sciences. Three credits. Prerequisites: MATH/ACSI 3020 (or MATH 3110) and STAT 3150; or consent of instructor. Integrates calculus, probability, and risk management topics into fundamental tools for assessing risk in an actuarial environment.  Calculus and probability topics include derivatives, integrals, partials, random variables, distributions and conditional probability.  Risk topics include frequency and severity.  Insurance concepts such as retention, deductible, coinsurance, and risk premiums.  For students in Actuarial Science, a preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 1.

4200 Introduction to Mathematics of Investment. Three credits. (Same as MATH 4200.) Prerequisites: MATH 1910 or 1810 and one semester of probability/statistics; or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

4220 Mathematics of Pricing Theory. Three credits. Prerequisites: MATH/ACSI 4200 and ECON 2410, 2420; or consent of instructor. Applies calculus and theory of interest tools to intermediate topics and microeconomics. Topics include the mathematics of supply, demand and equilibrium; prices, cost and the gains from trade; consumer behavior; elasticities; competition; monopoly; market, power, collusion, oligopoly; the mathematics of risk and uncertainty; and surplus economics. For students in Actuarial Science, this course is a preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 2.

4230 Mathematics of Compound Interest. Three credits. Prerequisites: ACSI 4200 or consent of instructor.  For students in Actuarial Science, offers preparation for the Society of Actuaries/Casualty Actuarial Society Exam 2.  Topics include measurement of interest (including accumulated and present value factors), annuities certain, yield rates, amortization schedules, sinking fund, and bonds and related securities.

4240 Mathematics of Interest Theory, Economics and Finance. Three credits. Prerequisites: ACSI 4230 or consent of instructor.   Applies calculus and theory of interest tools to intermediate topics and micro economics or macroeconomics and topics of finance. Topics include pricing activities, the simplified Keynesian model, interest and discount rates, valuation of payment streams, yield rates, amortization, cash flows and internal rates of return, stock and bond valuation, portfolio risks, the Capital Assest Pricing Model (CAPM), efficient market, capital structure, leverage, financial performance measurement, and basic option pricing and the Black-Scholes model. For student in Actuarial Science,  a preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 2.

4330 Actuarial Mathematics I. Three credits. Prerequisites: ACSI 4230 and STAT 4190; or consent of instructor.  First of a two-semester sequence; offers preparation for the Society of Actuaries/Casualty Actuarial Society Course/Exam 3.  Topics include survival distributions and life tables, life insurance, life annuities, and net premiums.

4340 Actuarial Mathematics II. Three credits. Prerequisite: ACSI 4330.  Second of a two-semester sequence; offers preparation for the Society of Actuaries/Casualty Actuarial Society Course/Exam 3.  Topics chosen from net premium reserves, multiple life functions, multiple decrement models, valuation theory and pension plans, and insurance models (including expenses and non-fortfeiture benefits and dividends.) 

4600 Problems in Actuarial Science. One to six credits. Prerequisites: Senior standing and consent of instructor. Students wishing to enroll must submit a written course/topic proposal to the department prior to the semester in which ACSI 4600 is taken. Proposal must be approved prior to taking the course. At the conclusion, each enrollee must submit a written report to the department.

4630 Mathematics of Risk Management.  Three credits.  (Same as MATH 4630).  Prerequisite:  ACSI/MATH 4200.  For students in Actuarial Science, offers preparation for the Society of Actuaries/Casualty Actuarial Society Course 6.  Topics include mathematical modeling of volatility; pricing of bonds, stocks, and other derivatives with uncertainty; benchmark portfolios; asset/ liability management for property/casualty insurers; liability associated with a financially distressed company.  Heath-Jarrow-Morton and Cox-Ingersol-Ross models.

4640 Mathematics of Options, Futures, and Other Derivatives.  Three credits.  (Same as MATH 4640.)   Prerequisites: ACSI/MATH 4630 and 4200.  For students in Actuarial Science, offers preparation for the Society of Actuaries/Casualty Actuarial Society Course 6.  Topics include risk management using options, interest rate swaps, interest rate caps, Black-Scholes analysis, Taylor series expansion to obtain hedge parameters, portfolio insurance, numerical procedures, interest rate derivatives, and use of Black's model.

Honors Program
MATH 1730, 1910, and 1920 are offered regularly for students in the University Honors College.  Upon request by the Honors College, MATH 1010 and 1710 are offered.  MATH 4600 can also be offered as an Honors course.

Cooperative Education
MATH 2930, 2940, 3970, 3980.  Cooperative Education Experience I, II, III, IV.  One to three credits each.  Experiences must be taken in sequence.  Pass/Fail.

Graduate Study
The Master of Science and Master of Science in Teaching degrees are offered in mathematics.  A minor in Mathematics is offered for master's and Doctor of Arts degrees.  Requirements for these degrees and a list of the courses offered for graduate credit are in the Graduate Catalog.