Course Descriptions

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 00100

Introduction to Algebra

Credit Hrs:4

P: Placement. Covers the material taught in the first year of high school algebra. Numbers and algebra, integers, rational numbers, equations, polynomials, graphs, systems of equations, inequalities, radicals. Credit does not apply toward any degree.

Course Materials

MATH- 11000

Fundamentals of Algebra

Credit Hrs:4

P: MATH 00100 with a minimum grade of C- or placement. Intended primarily for liberal arts and business majors. Integers, rational and real numbers, exponents, decimals, polynomials, equations, word problems, factoring, roots and radicals, logarithms, quadratic equations, graphing, linear equations in more than one variable, and inequalities. This course satisfies the prerequisite needed for MATH M118, M119, 13000, 13600, and STAT 30100.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 11100

Algebra

Credit Hrs:4

P: MATH 00100 with a minimum grade of C or placement. Real numbers, linear equations and inequalities, systems of equations, polynomials, exponents, and logarithmic functions. Covers material in the second year of high school algebra. This course satisfies the prerequisite needed for MATH M118, M119, 13000, 13600, 15300, and STAT 30100.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

STAT- 11300

Statistics and Society

Credit Hrs:3

Intended to familiarize the student with basic statistical concepts and some of their applications in public and health policies as well as in social and behavioral sciences. No mathematics beyond simple algebra is needed, but quantitative skills are strengthened by constant use. Involves much reading, writing, and critical thinking through discussions on such topics as data ethics, public opinion polls and the political process, the question of causation the role of government statistics, and dealing with chance in everyday life. Applications include public opinion polls, medical experiments, smoking and health, the consumer price index, state lotteries, and the like. STAT 11300 can be used for general education or as preparation for later methodology courses.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH-M 118

Finite Mathematics

Credit Hrs:3

P: MATH 11100 or 11000 with a minimum grade of C- or placement. Set theory, logic, permutations, combinations, simple probability, conditional probability, Markov chains. An honors option is available in this course.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH-M 119

Brief Survey of Calculus I

Credit Hrs:3

P: MATH 11100 or 11000 with a minimum grade of C- or placement. Sets, limits, derivatives, integrals, and applications. An honors option is available in this course.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 13000

Mathematics for Elementary Teachers I

Credit Hrs:3

P: MATH 11100 or 11000 with a minimum grade of C- or placement. Numeration systems, mathematical reasoning, integers, rationals, reals, properties of number systems, decimal and fractional notations, and problem solving.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 13100

Mathematics for Elementary Teachers II

Credit Hrs:3

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 13200

Mathematics for Elementary Teachers II

Credit Hrs:3

P: MATH 13000. Rationals, reals, geometric relationships, properties of geometric figures, one-, two-, and three-dimensional measurement, and problem solving.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 13600

Mathematics for Elementary Teachers

Credit Hrs:6

P: MATH 11100 or 11000 with a minimum grade of C or placement. MATH 13600 is a one-semester version of MATH 13000 and 13200. Not open to students with credit in 13000 or 13200.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 15300

Algebra and Trigonometry I

Credit Hrs:3

P: MATH 11100 with a minimum grade of C or placement. MATH 15300-15400 is a two-semester version of 15900. Not open to students with credit in MATH 15900. 15300 covers college-level algebra and provides preparation for MATH 16500, 22100, and 23100.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 15400

Algebra and Trigonometry II

Credit Hrs:3

P: MATH 15300 with a minimum grade of C. MATH 15300-15400 is a two-semester version of 15900. Not open to students with credit in MATH 15900. MATH 15400 covers college-level trigonometry and provides preparation for MATH16500, 22100, and 23100.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 15900

Precalculus

Credit Hrs:5

P: MATH11100 with a minimum grade of B or placement. MATH 15900 is a one-semester version of 15300-15400. Not open to students with credit in MATH 15300 or 15400. 15900 covers college-level algebra and trigonometry and provides preparation for MATH 16500, 22100, and 23100.

Course Materials

MATH-S 165

Honors Integrated Calculus and Analytic Geometry I

Credit Hrs:4

P: Precalculus or trigonometry and consent of instructor. This course covers the same topics as MATH 16500. However, it is intended for students having a strong background in mathematics who wish to study the concepts of calculus in more depth and who are seeking mathematical challenges.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 16500

Analytic Geometry and Calculus I

Credit Hrs:4

P: MATH15900 or 15400 (minimum grade of C) or placement. Introduction to differential and integral calculus of one variable, with applications. The Fundamental Theorem of Calculus.

Course Materials

MATH-S 166

Honors Analytic Geometry and Calculus II

Credit Hrs:4

P: MATH S16500 with a minimum grade of B- or MATH 16500 with a minimum grade of A-, and consent of instructor. This course covers the same topics as Math 16600. However, it is intended for students having a strong interest in mathematics who wish to study the concepts of calculus in more depth and who are seeking a mathematical challenge.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 16600

Analytic Geometry and Calculus II

Credit Hrs:4

P: MATH16500 with a minimum grade of C-. Continuation of Math 16500. Inverse functions: exponential, logarithmic and inverse trigonometric functions. Techniques of integration, applications of integration, differential equations and infinite series.

Course Materials

MATH- 17100

Multidimensional Mathematics

Credit Hrs:3

P: MATH 15900 or 15400 with a minimum grade of C or placement. An introduction to mathematics in more than two dimensions. Graphing of curves, surfaces and functions in three dimensions. Two and three dimensions vector spaces with vector operations. Solving systems of linear equations using matrices. Basic matrix operations and determinants.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 22100

Calculus for Technology I

Credit Hrs:3

P: MATH 15400 or 15900 with a minimum grade of C- or placement. Analytic geometry, the derivative and applications, and the integral and applications.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 22200

Calculus for Technology II

Credit Hrs:3

P: MATH 22100 with a minimum grade of C-. Differentiation of transcendental functions, methods of integration, power series, Fourier series, and differential equations.

Course Materials

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 23100

Calculus for Life Sciences I

Credit Hrs:3

P: MATH 15400 or 15900 or placement. Limits, derivatives and applications. Exponential and logarithmic functions. Integrals, antiderivatives and the Fundamental Theorem of Calculus. Examples and applications are drawn from the life sciences.

Course Materials

Syllabus

MATH- 23200

Calculus for Life Sciences II

Credit Hrs:3

P: MATH 23100 with a minimum grade of C-. Matrices, functions of several variables, differential equations and solutions with applications. Examples and applications are drawn from the life sciences.

Course Materials

Syllabus

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 26100

Multivariate Calculus

Credit Hrs:4

P: MATH 16600 and 17100. Spatial analytic geometry, vectors, curvilinear motion, curvature, partial differentiation, multiple integration, line integrals, and Green's theorem. An honors option is available in this course.

MATH- 26600

Ordinary Differential Equations

Credit Hrs:3

P: MATH 16600 and 17100. R: MATH 26100. First order equations, second and n'th order linear equations, series solutions, solution by Laplace transform, systems of linear equations.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 27600

Discrete Math

Credit Hrs:3

P or C: MATH 16500. Logic, sets, functions, integer algorithms, applications of number theory, mathematical induction, recurrence relations, permutations, combinations, finite probability, relations and partial ordering, and graph algorithms.

MATH- 30000

Logic and the Foundations of Algebra

Credit Hrs:3

P: MATH 16500. Logic and the rules of reasoning, theorem proving. Applications to the study of the integers; rational, real, and complex numbers; and polynomials. Bridges the gap between elementary and advanced courses. Recommended for prospective high school teachers.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

STAT- 30100

Elementary Statistical Methods I

Credit Hrs:3

P: MATH 11000 or 11100 or placement. Not open to students in the Department of Mathematical Sciences. Introduction to statistical methods with applications to diverse fields. Emphasis on understanding and interpreting standard techniques. Data analysis for one and several variables, design of samples and experiments, basic probability, sampling distributions, confidence intervals and significance tests for means and proportions, and correlation and regression. Software is used throughout. See Course Web Site for more information.

MATH- 33300

Chaotic Dynamical Systems

Credit Hrs:3

P: MATH 16600, 22200 or 23200. The goal of the course is to introduce some of the spectacular new discoveries that have been made in the past twenty years in the field of mathematics known as dynamical systems. It is intended for undergraduate students in mathematics, science or engineering. It will include a variety of computer experiments using software that is posted on the web.

STAT- 35000

Introduction to Statistics

Credit Hrs:3

P: MATH 16500. A data-oriented introduction to the fundamental concepts and methods of applied statistics. STAT 350 is intended primarily for majors in the mathematical sciences mathematics, actuarial sciences, mathematics education. The objective is to acquaint the students with the essential ideas and methods of statistical analysis for data in simple settings. It covers material similar to that of STAT 51100 but with emphasis on more data-analytic material. Includes a weekly computing laboratory using Minitab.

MATH- 35100

Elementary Linear Algebra

Credit Hrs:3

P: MATH 26100. Not open to students with credit in MATH 51100. Systems of linear equations, matrices, vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and applications.

STAT- 37100

Prep for Actuarial Exam I

Credit Hrs:2

This course is intended to help actuarial science students prepare for the SOA/CAS Exam P/1.

MATH- 37300

Financial Mathematics

Credit Hrs:3

P: MATH26100. Fundamental concepts of financial mathematics and economics, and their application to business situations and risk management. Valuing investments, capital budgeting, valuing contingent cash flows, modified duration, convexity, immunization, financial derivatives. Provides preparation for the SOA/CAS Exam FM/2.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 39800

Internship in Professional Practice

Credit Hrs:1-3

P: Approval of Department of Mathematical Sciences. Professional work experience involving significant use of mathematics or statistics. Evaluation of performance by employer and Department of Mathematical Sciences. May count toward major requirements with approval of the Department of Mathematical Sciences. May be repeated with approval of the Department of Mathematical Sciences for a total of 6 credits.

MATH- 41400

Numerical Methods CSCI 41400

Credit Hrs:3

P: MATH 26600 and a course in a high-level programming language. Not open to students with credit in CSCI 51200. Error analysis, solution of nonlinear equations, direct and iterative methods for solving linear systems, approximation of functions, numerical differentiation and integration, and numerical solution of ordinary differential equations.

STAT- 41600

Probability

Credit Hrs:3

P: MATH 26100. Not open to students with credit in STAT 31100. An introduction to mathematical probability suitable as preparation for actuarial science, statistical theory, and mathematical modeling. General probability rules, conditional probability, Bayes theorem, discrete and continuous random variables, moments and moment generating functions, continuous distributions and their properties, law of large numbers, and central limit theorem.

MATH- 41700

Discrete Modeling and Game Theory

Credit Hrs:3

P: MATH 26600 and MATH 35100 or 51100, or consent of instructor. Linear programming; mathematical modeling of problems in economics, management, urban administration, and the behavioral sciences.

STAT- 41700

Statistical Theory

Credit Hrs:3

P: STAT 41600. R: STAT 35000. An introduction to the mathematical theory of statistical inference, emphasizing inference for standard parametric families of distributions. Properties of estimators. Bayes and maximum likelihood estimation. Sufficient statistics. Properties of test of hypotheses. Most powerful and likelihood-ratio tests. Distribution theory for common statistics based on normal distributions.

MATH- 42600

Introduction to Applied Mathematics and Modeling

Credit Hrs:3

P: MATH 26600 and PHYS 15200. Introduction to problems and methods in applied mathematics and modeling. Formulation of models for phenomena in science and engineering, their solution, and physical interpretation of results. Examples chosen from solid and fluid mechanics, mechanical systems, diffusion phenomena, traffic flow, and biological processes.

MATH- 44400

Foundations of Analysis I

Credit Hrs:3

P: MATH 26100. Set theory, mathemtical induction, real numbers, completeness axiom, open and closed sets in Rm, sequences, limits, continuity and uniform continuity, inverse fuctions, differentiation of functions of one and several variables. See Course Web Site for more information.

MATH- 44500

Foundations of Analysis II

Credit Hrs:3

P: MATH 44400. Continuation of differentiation, the mean value theorem and applications, the inverse and implicit function theorems, the Riemann integral, the fundamental theorem of calculus, point-wise and uniform convergence, convergence of infinite series, series of functions.

MATH- 45300

Beginning Abstract Algebra

Credit Hrs:3

P: MATH 35100. Basic properties of groups, rings, and fields, with special emphasis on polynomial rings.

MATH- 45600

Introduction to the Theory of Numbers

Credit Hrs:3

P: MATH 26100. Divisibility, congruences, quadratic residues, Diophantine equations, and the sequence of primes.

MATH- 46200

Elementary Differential Geometry

Credit Hrs:3

P: MATH 35100. Calculus and linear algebra applied to the study of curves and surfaces. Curvature and torsion, Frenet-Serret apparatus and theorem, and fundamental theorem of curves. Transformation of R^2, first and second fundamental forms of surfaces, geodesics, parallel translation, isometries, and fundamental theorem of surfaces.

MATH- 46300

Intermediate Euclidean Geometry for Secondary Teachers

Credit Hrs:3

P: MATH 30000. History of geometry. Ruler and compass constructions, and a critique of Euclid. The axiomatic method, models, and incidence geometry. Presentation, discussion and comparison of Hilbert's, Birkhoff's, and SMSG's axiomatic developments.

STAT- 47200

Actuarial Models I

Credit Hrs:3

P: STAT 41700 or equivalent. Mathematical foundations of actuarial science emphasizing probability models for life contingencies as the basis for analyzing life insurance and life annuities and determining premiums. This course, together with its sequel, STAT 47300, provides most of the background for Exams MLC and MFE of the Society of Actuaries.

STAT- 47300

Actuarial Models II

Credit Hrs:3

P: STAT 47200. Continuation of STAT 47200. Together, these courses cover contingent payment models, survival models, frequency and severity models, compound distribution models, simulation models, stochastic process models, and ruin models.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 49000

Topics in Mathematics for Undergraduates

Credit Hrs:1-5

By arrangement. Open to students only with the consent of the department. Supervised reading and reports in various fields.

MATH- 49100

Seminar in Competitive Math Problem-Solving

Credit Hrs:1-3

Approval of the director of undergraduate programs is required. This seminar is designed to prepare students for various national and regional mathematics contests and examinations such as the Putnam Mathematical Competition, the Indiana College Mathematical Competition and the Mathematical Contest in Modeling MCM, among others. May be repeated twice for credit.

Offered in Summer of 2009 Offered in Fall of 2009 Offered in Spring of 2010

MATH- 49200

Capstone Experience

Credit Hrs:1-3

By arrangement.

MATH- 49500

TA Instruction

Credit Hrs:0

For teaching assistants. Intended to help prepare TAs to teach by giving them the opportunity to present elementary topics in a classroom setting under the supervision of an experienced teacher who critiques the presentations.

STAT-N 501

Statistical Methods for Health Sciences

Credit Hrs:3

P: Math 15300. An introductory statistical methods course, with emphasis on applications in the health sciences. Topics include descriptive statistics, probability distributions, sampling distributions, confidence interval estimation, hypothesis testing, analysis of variance, linear regression, goodness-of-fit tests, and contingency tables. Credit cannot be given for more than one of STAT 30100, 35000 or 51100; or STAT N501.

BIOS-S 515

Biostatistical Practicum

Credit Hrs:1-3

Real-world projects in biostatistics involving participation in consulting sessions, directed reading in the literature, research ethics, design of experiments, collection of data and applications of biostatistical methods. Detailed written and oral reports required. May be repeated, up to 6 credits.

BIOS-S 527

Introduction to Clinical Trials

Credit Hrs:3

Prepares biostatisticians for support of clinical trial projects. Topics: fundamental aspects of the appropriate design and conduct of medical experiments involving human subjects including ethics, design, sample size calculation, randomization, monitoring, data collection analysis and reporting of the results.

BIOS-S 546

Applied Logitudinal Data Analysis

Credit Hrs:3

Covers modern methods for analysis of repeated measures, correlated outcomes and longitudinal data. Topics: repeated measures ANOVA, random effects and growth curve models, generalized estimating equations (GEE) and generalized linear mixed models (GLMMs). Extensive use of statistical software, e.g. SAS, R.

BIOS-S 598

Topics in Biostatistical Methods

Credit Hrs:3

Directed study and reports for students who wish to undertake individual reading and study on approved topics.

BIOS-S 621

Advanced Statistical Computing

Credit Hrs:3

P: STAT 52100; experience with R/S plus programming. This course covers selected computational techniques useful in advanced statistical applications and statistical research, such as methods for solving linear equations, numerical optimization, numerical integration, Bayesion methods, bootstrap methods and stochastic search algorithms.

BIOS-S 627

Statistics in Pharmaceutical Research

Credit Hrs:3

An overview of the drug development process, including the various phases of development from pre-clinical to post-marketing. Topics: statistical issues in design, study monitoring, analysis and reporting. Additional topics may include regulatory and statistical aspects of population pharmacokinetics and real world applications.l