# Courses

##### Master course schedule by semester - Mathematical Sciences & Statistics

#### Course Coordinators

11000 Clay Hicks 11100 Patrick Frey M-118 Chris Dona

M-119 Joan Rainey 13000s Bruce Boling 15000s Sharon Rangazas

165/6 Zhongmin Shen 17100 Bruce Kitchens 22000s Elizabeth Its

23000s Leonid Rubchinsky 26100 Patrick Morton STAT Meghan Tooman

## MATH 11000 Fundamentals of Algebra

- Credit Hours: 4
- Course Summary: 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.
- Prerequisites: MATH 00100 within last 3 terms with a grade of C or better or an ALEKs math placement score of 25 or greater within the last 12 months.
- Semester(s) Offered: Fall, Spring, SummerI, SummerII
- Qualifying exam
- Additional Information: This course satisfies the prerequisites needed for MATH-M 118, MATH-M 119, MATH 13000, MATH 13600, and STAT 30100.
- Course Documents:
- Course Policy (Math 11000, Spring 2017)
- Syllabus (Math 11000, Spring 2017) - MW
- Syllabus (Math 11000, Spring 2017) - MWF
- Syllabus (Math 11000, Spring 2017) - TR
- MyLabs Plus Information (2017-2018)
- Suggested Practice Exercises (Math 11000, 2017-2018)
- Final Exam Practice Problems (Math 11000, 2017-2018)
- Final Exam Review (Math 11000, 2017-2018)

## MATH 11100 Algebra

- Credit Hours: 4
- Course Summary: 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.
- Prerequisites: MATH 00100 or 11000 taken within last 3 terms with a grade of C or better or an ALEKs placement score of 40 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI, SummerII
- Course Documents:

## MATH-M 118 Finite Mathematics

- Credit Hours: 3
- Course Summary: Set theory, permutations, combinations, simple probability, conditional probability and independence, Bayes' theorem, Bernoulli trials, expected value and standard deviation, normal distributions, matrix algebra, linear programming, and Markov chains. ***NOTE: If you are enrolled in the ONLINE section of Math 118, ignore the policies and files below; these pertain to on-site sections only. Please see your instructor's Canvas site for the course policies and documents for your ONLINE section***
- Prerequisites: MATH 11000 or 11100 taken within last 3 terms with a grade of C- or better or an ALEKs placement score of 58 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, Summer I, Summer II
- Course Documents:
- Calendar and Test Dates
- Class Schedule and Course Topics
- Online Homework and Practice Tests
- Computer Testing Information
- Suggested Text Problems for Studying
- Course Objectives, Skills, Attitudes
- Practice Test Ch 2
- Practice Test Ch 2 Answers
- Practice Test Ch 3
- Practice Test Ch 3 Answers
- Practice Test Ch 4
- Practice Test Ch 4 Answers
- Practice Test Ch 5
- Practice Test Ch 5 Answers
- Practice Test Ch 6
- Practice Test Ch 6 Answers
- Practice Test Ch 7
- Practice Test Ch 7 Answers
- Practice Test Ch 9
- Practice Test Ch 9 Answers
- Practice Final Exam
- Practice Final Exam Answers
- Solutions to Odd-Numbered Text Exercises

## MATH-M 119 Brief Survey of Calculus I

- Credit Hours: 3
- Course Summary: Average rate of change, difference quotient, derivatives and their applications, integrals and their applications.
- Prerequisites: MATH 11000 or 11100 taken within last 3 terms with a grade of C- or better or an ALEKs placement score of 58 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI, SummerII
- Course Documents:

## MATH 13000 Mathematics for Elementary Teachers I

- Credit Hours: 3
- Course Summary: Numeration systems, mathematical reasoning, integers, rationals, reals, properties of number systems, decimal and fractional notations, and problem solving.
- Prerequisites: MATH 11000 or 11100 taken within last 3 terms with a grade of C- or better or an ALEKs placement score of 58 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI
- Course Links: Indiana Academic Standards
- Course Documents:

## MATH 13100 Mathematics for Elementary Teachers II

- Credit Hours: 3
- Course Summary: Number systems: numbers of arithmetic, integers, rationals, reals, mathematical systems, decimal and fractional notations; probability, simple and compound events, algebra review.
- Prerequisites: MATH 13000 or 13600 taken within last 3 terms with a grade of C- or better or an ALEKs placement score of 58 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI
- Course Links: Indiana Academic Standards
- Course Documents:

## MATH 13200 Mathematics for Elementary Teachers III

- Credit Hours: 3
- Course Summary: Rationals, reals, geometric relationships, properties of geometric figures, one-, two-, and three-dimensional measurement, and problem solving.
- Prerequisites: MATH 13000 taken within last 3 terms with a grade of C- or better or an ALEKs placement score of 58 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerII
- Course Links: Indiana Academic Standards
- Course Documents:

## MATH 13600 Mathematics for Elementary Teachers

- Credit Hours: 6
- Course Summary: MATH 13600 is a one-semester version of MATH 13000 and MATH 13200.
- Semester(s) Offered: Fall, Spring
- Additional Information: Not open to students with credit in MATH 13000 or MATH 13200.
- Course Links: Indiana Academic Standards
- Course Documents:

## MATH 15300 College Algebra

- Credit Hours: 3
- Course Summary: MATH 15300-15400 is a two-semester version of MATH 15900.
- Prerequisites: MATH 11100 (not MATH 11000) taken within last 3 terms with a grade of C or better or an ALEKs placement score of 62 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, Summer I, Summer II
- Additional Information: MATH 15300-15400 is a two-semester version of MATH 15900. Not open to students with credit in MATH 15900.
- COURSE MATERIALS
- Fall 2018 Semester
- Syllabus (MW)
- Syllabus (TR)
- Course Policy
- Recommended Textbook Homework Exercises
- Course Topics
- Course Learning Objectives
- Exam/Quiz Policy
- Departmental Final Exam Room Locations
- Departmental Final Exam Practice Problems From Textbook
- Departmental Final Exam Practice Version #1
- Departmental Final Exam Practice Version #2
- Departmental Final Exam Practice Version #1 - Solutions
- Departmental Final Exam Practice Version #2 - Solutions

- Spring 2018 Semester
- Syllabus (MW)
- Syllabus (TR)
- Course Policy
- Recommended Textbook Homework Exercises
- Course Topics
- Course Learning Objectives
- Exam/Quiz Policy
- Departmental Final Exam Room Locations
- Departmental Final Exam Practice Problems From Textbook
- Departmental Final Exam Practice Version #1
- Departmental Final Exam Practice Version #2
- Departmental Final Exam Practice Version #1 - Solutions
- Departmental Final Exam Practice Version #2 - Solutions

- Summer 2018 Session

- Fall 2018 Semester

## MATH 15400 Trigonometry

- Credit Hours: 3
- Course Summary: MATH 15400 covers college-level trigonometry and, together with MATH 15300, provides preparation for MATH 16500, MATH 22100, and MATH 23100.
- Prerequisites: MATH 15300 with a grade of C or better taken within the last 3 terms.
- Semester(s) Offered: Fall, Spring, Summer I, Summer II
- Additional Information: MATH 15300-15400 is a two-semester version of MATH 15900. Not open to students with credit in MATH 15900.
- COURSE MATERIALS
- Fall 2018 Semester
- Syllabus (MW)
- Syllabus (TR)
- Course Policy
- Recommended Textbook Homework Exercises
- Course Topics
- Course Learning Objectives
- Exam/Quiz Policy
- Departmental Final Exam Room Locations
- Departmental Final Exam Practice Problems From Textbook
- Departmental Final Exam Practice Version #1
- Departmental Final Exam Practice Version #2
- Departmental Final Exam Practice Version #1 - Solutions
- Departmental Final Exam Practice Version #2 - Solutions

- Spring 2018 Semester
- Syllabus (MW)
- Syllabus (TR)
- Course Policy
- Recommended Textbook Homework Exercises
- Course Topics
- Course Learning Objectives
- Exam/Quiz Policy
- Departmental Final Exam Room Locations
- Departmental Final Exam Practice Problems From Textbook
- Departmental Final Exam Practice Version #1
- Departmental Final Exam Practice Version #2
- Departmental Final Exam Practice Version #1 - Solutions
- Departmental Final Exam Practice Version #2 - Solutions

- Summer 2018 Session

- Fall 2018 Semester

## MATH 15900 Precalculus

- Credit Hours: 5
- Course Summary: MATH 15900 covers college-level algebra and trigonometry and provides preparation for MATH 16500, MATH 22100, and MATH 23100.
- Prerequisites: MATH 11100 (not MATH 11000) taken within last 3 terms with a grade of B or better or an ALEKs placement score of 72 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring
- Additional Information: MATH 15900 is a one-semester version of MATH 15300 and MATH 154000. Not open to students with credit in MATH 15300 or MATH 15400.
- COURSE MATERIALS
- Fall 2018 Semester
- Syllabus (MWF)
- Syllabus (TR)
- Course Policy (MWF)
- Course Policy (TR)
- Recommended Textbook Homework Exercises
- Course Topics
- Course Learning Objectives
- Exam/Quiz Policy
- Departmental Final Exam Room Locations
- Departmental Final Exam Practice Problems From Textbook
- Departmental Final Exam Practice Version #1
- Departmental Final Exam Practice Version #2
- Departmental Final Exam Practice Version #1 - Solutions
- Departmental Final Exam Practice Version #2 - Solutions

- Spring 2018 Semester
- Syllabus (MWF)
- Syllabus (TR)
- Course Policy (MWF)
- Course Policy (TR)
- Recommended Textbook Homework Exercises
- Course Topics
- Course Learning Objectives
- Exam/Quiz Policy
- Departmental Final Exam Room Locations
- Departmental Final Exam Practice Problems From Textbook
- Departmental Final Exam Practice Version #1
- Departmental Final Exam Practice Version #2
- Departmental Final Exam Practice Version #1 - Solutions
- Departmental Final Exam Practice Version #2 - Solutions

- Fall 2018 Semester

## MATH-S 165 Honors Analytic Geometry and Calculus I

- Credit Hours: 4
- Course Summary: 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 a mathematical challenge.
- Prerequisites: Precalculus or trigonometry and consent of instructor.
- Semester(s) Offered: Fall

## MATH 16500 Analytic Geometry and Calculus I

- Credit Hours: 4
- Course Summary: 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 a mathematical challenge.
- Prerequisites: MATH 15900 (or MATH 15300 and 15400) taken within last 3 terms with a grade of C or better or an ALEKs placement score of 80 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI
- Course Documents:

## MATH-S 166 Honors Analytic Geometry and Calculus II

- Credit Hours: 4
- Course Summary: 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.
- Prerequisites: MATH S16500 with a minimum grade of B- or MATH 16500 with a minimum grade of A-, and consent of instructor.
- Semester(s) Offered: Spring

## MATH 16600 Analytic Geometry and Calculus II

- Credit Hours: 4
- Course Summary: Continuation of MATH 16500. Inverse functions, exponential, logarithmic, and inverse trigonometric functions. Techniques of integration, applications of integration, differential equations, and infinite series.
- Prerequisites: MATH 16500 taken within last 3 terms with a grade of C- or better.
- Semester(s) Offered: Fall, Spring, Summer II
- Course Documents:

## MATH 17100 Multidimensional Mathematics

- Credit Hours: 4
- Course Summary: An introduction to mathematics in more than two dimensions. Graphing of curves, surfaces and functions in three dimensions. Two and three dimensional vector spaces with vector operations. Solving systems of linear equations using matrices. Basic matrix operations and determinants.
- Prerequisites: MATH 15900 (or MATH 15300 and 15400) taken within last 3 terms with a grade of C or better or an ALEKs placement score of 80 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI, SummerII
- Course Documents:

## MATH 19000 Topics in Applied Mathematics for Freshmen

- Credit Hours: 3
- Course Summary: Treats applied topics in mathematics at the freshman level.
- Additional Information: Prerequisites and course material vary with the applications.

## STAT 19000 Topics in Statistics for Undergraduates

- Credit Hours: 1-5
- Course Summary: Supervised reading course or special topics course at the freshman level.
- Additional Information: Prerequisites and course material vary with the topic.

## MATH 22100 Calculus for Technology I

- Credit Hours: 3
- Course Summary: Analytic geometry, the derivative and applications, and the integral and applications.
- Prerequisites: MATH 15900 (or MATH 15300 and 15400) taken within last 3 terms with a grade of C or better or an ALEKs placement score of 80 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI
- Course Documents:

## MATH 22200 Calculus for Technology II

- Credit Hours: 3
- Course Summary: Differentiation of transcendental functions, methods of integration, power series, Fourier series, and differential equations.
- Prerequisites: MATH 22100 or equivalent taken within last 3 terms with grade of C- or better.
- Semester(s) Offered: Fall, Spring, SummerII
- Course Documents:

## MATH 23100 Calculus for Life Sciences I

- Credit Hours: 3
- Course Summary: 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.
- Semester(s) Offered: Fall, Spring
- Course Documents:

## MATH 23200 Calculus for Life Sciences II

- Credit Hours: 3
- Course Summary: Matrices, functions of several variables, differential equations and solutions with applications. Examples and applications are drawn from the life sciences.
- Prerequisites: MATH 23100 or equivalent taken within last 3 terms with a grade of C- or better.
- Semester(s) Offered: Fall, Spring
- Course Documents:

## MATH 26100 Multivariate Calculus

- Credit Hours: 3
- Course Summary: Spatial analytic geometry, vectors, space curves, partial differentiation, applications, multiple integration, line integrals, Green's theorem, Stokes' theorem, and the Divergence theorem.
- Prerequisites: MATH 16500 and 16600 and 17100 taken within last 3 terms with grades of C- or better.
- Semester(s) Offered: Fall, Spring, SummerI
- Additional Information: An honors option may be available in this course.
- Course Documents:

## MATH-S 261 Honors Multivariate Calculus

- Credit Hours: 4
- Course Summary: This is an honors level version of third semester calculus (MATH 26100). It is intended for students who have strong motivation and a desire for additional challenge. The theory of multivariate calculus is developed as rigorously as possible and studied in greater depth than in MATH 26100.
- Prerequisites: Math 16600 or Math-S 166 with a minimum grade of B and Math 17100 and permission from the instructor.

## MATH 26600 Ordinary Differential Equations

- Credit Hours: 3
- Course Summary: First, second, and n-th order equations, qualitative analysis of first and second order linear equations, solution by Laplace transforms, systems of linear equations.
- Prerequisites: MATH 16500 and 16600 and 17100 taken within last 3 terms with grades of C- or better.
- Semester(s) Offered: Fall, Spring, SummerII

## MATH 27600 Discrete Math

- Credit Hours: 3
- Course Summary: Logic, sets, functions, integer algorithms, applications of number theory, mathematical induction, recurrence relations, permutations, combinations, finite probability, relations and partial ordering, and graph algorithms.
- Prerequisites: P or C: MATH 16500.
- Semester(s) Offered: Spring

## MATH 29000 Topics in Applied Mathematics for Sophomores

- Credit Hours: 3
- Course Summary: Applied topics in mathematics at the sophomore level.
- Additional Information: Prerequisites and course material vary with the applications.

## STAT 29000 Topics in Statistics for Undergraduates

- Credit Hours: 3
- Course Summary: Supervised reading course or special topics course at the sophomore level.
- Additional Information: Prerequisites and course material vary with the applications.

## MATH 30000 Logic and the Foundations of Algebra

Credit Hours: 3

Course Summary: 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 as a prerequisite for 30000-level and 40000-level pure mathematics courses.

Prerequisites: P or C: MATH 16600 and 17100. (MATH 27600 is recommended.)

Semester(s) Offered: Fall

## STAT 30100 Elementary Statistical Methods I

- Credit Hours: 3
- Course Summary: 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. Statistics can be defined as the science of reasoning or drawing conclusions from data. Its purpose is to aid people in making decisions on the basis of numerical information. Most people encounter statistical reasoning in everyday life. The purpose of this course is to give you a working knowledge of the ideas and tools of statistical practice. The topics in the course can be divided into three main parts. Data analysis involves methods for exploring, organizing, and describing data. The ideas of data production provide methods for producing useful data. Statistical inference involves drawing broader conclusions from the data, while taking into account that variation makes those conclusions uncertain. Students have access to the online version of the textbook through Pearson MyLabsPlus included in their fees when they register for the course. If a student wishes to purchase a hardcopy of the textbook, they need "A First Course in Statistics" by McClave and Sincich Twelfth Edition. ISBN: 0134080629.
- Prerequisites: MATH 11000 or 11100 taken within last 3 terms with a grade of C or better or an ALEKs placement score of 58 or greater taken within last 12 months. Note: ALEKs placement test scores will be compared against SAT/ACT Math scores. Additional testing may be required.
- Semester(s) Offered: Fall, Spring, SummerI, SummerII
- Additional Information: Not open to students in the Department of Mathematical Sciences.
- Instructors: Meghan Tooman
- Course Information:

## MATH 32101 Elementary Topology

- Credit Hours: 3
- Course Summary: Introduction to topology, including metric spaces, abstract topological spaces, continuous functions, connectedness, compactness, curves, Cantor sets, coninua, and the Baire Category Theorem. Also, an introduction to surfaces, including spheres, tori, the Mobius band, the Klein bottle and a description of their classification. The course will begin with a study of metric spaces then move to abstract topological spaces and continuous functions. Then a variety of topological properties and how they relate to specified examples will be examined. Topological ideas provide an excellent background for courses such as differential geometry, real analysis and complex analysis.
- Prerequisites: MATH 26100
- Semester(s) Offered: Spring

## MATH 33300 Chaotic Dynamical Systems

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: MATH 16600, 22200 or 23200.
- Semester(s) Offered: Fall(Odd)
- Additional Information: Offered only during years ending in an odd number.

## STAT 35000 Introduction to Statistics

- Credit Hours: 3
- Course Summary: A data-oriented introduction to the fundamental concepts and methods of applied statistics. STAT 35000 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.
- Prerequisites: MATH 16600.
- Semester(s) Offered: Fall, Spring

## MATH 35100 Elementary Linear Algebra

- Credit Hours: 3
- Course Summary: Systems of linear equations, matrices, vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and applications.
- Prerequisites: MATH 16600 and MATH 17100
- Semester(s) Offered: Fall, Spring
- Additional Information: Not open to students with credit in MATH 51100.

## MATH 35300 Linear Algebra II with Applications

- Credit Hours: 3
- Course Summary: This course involves the development of mathematics with theorems and their proofs. This course also includes several important applications, which will be used to create a mathematical model, prove theorems that lead to the solution of problems in the model, and interpret the results in terms of the original problem.
- Prerequisites: MATH 35100 or MATH 51100
- Semester(s) Offered: Spring

## STAT 37100 Prep for Actuarial Exam I

- Credit Hours: 3
- Course Summary: This course is intended to help actuarial science students prepare for the SOA/CAS Exam P/1.
- Semester(s) Offered: Spring

## MATH 37300 Financial Mathematics

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: MATH 16500
- Semester(s) Offered: Fall

## MATH 39000 Topics in Applied Mathematics for Juniors

- Credit Hours: 3
- Course Summary: Applied topics in mathematics at the junior level.
- Additional Information: Prerequisites and course material vary with the applications.

## STAT 39000 Topics in Statistics for Undergraduates

- Credit Hours: 3
- Course Summary: Supervised reading course or special topics course at the junior level.
- Additional Information: Prerequisites and course material vary with the applications.

## MATH 39800 Internship in Professional Practice

- Credit Hours: 1-3
- Course Summary: 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.
- Prerequisites: Approval of Department of Mathematical Sciences.
- Additional Information: May be repeated with approval of the Department of Mathematical Sciences for a total of 6 credits.

## MATH 41400 Numerical Methods

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: MATH 26600 and a course in a high-level programming language.
- Semester(s) Offered: Fall
- Additional Information: Not open to students with credit in CSCI 51200.

## STAT 41600 Probability

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: MATH 26100
- Semester(s) Offered: Fall
- Additional Information: Not open to students with credit in CSCI 51200.

## STAT 41700 Statistical Theory

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: STAT 41600. C: STAT 35000.
- Semester(s) Offered: Spring

## MATH 42100 Linear Programming and Optimization Techniques

- Credit Hours: 3
- Course Summary: This course covers a variety of topics in operations research, including solution of linear programming problems by the simplex method, duality theory, transportation problems, assignment problems, network analysis, dynamic programming.
- Prerequisites: MATH 26100 and 35100
- Semester(s) Offered: Fall(Odd)

## STAT 42100 Modern Statistical Modeling Using R and SAS

- Credit Hours: 3
- Course Summary: An introductory course on statistical computation. The primary goals of this course are (i) to introduce popular statistical software SAS and R and to develop basic data analysis skills, and (ii) to introduce basic statistical computation methods used in applications.
- Prerequisites: STAT 41700 or equivalent
- Semester(s) Offered: Fall

## MATH 42300 Discrete Modeling

- Credit Hours: 3
- Course Summary: Linear programming; mathematical modeling of problems in economics, management, urban administration, and the behavioral sciences.
- Prerequisites: MATH 26600 and MATH 35100 or 51100, or consent of instructor.
- Semester(s) Offered: Fall(Even)

## MATH 42500 Elements of Complex Analysis

- Credit Hours: 3
- Course Summary: Complex numbers and complex-valued functions; differentiation of complex functions; power series, uniform convergence; integration, contour integrals; elementary conformal mapping. See Course Web Site for more information.
- Prerequisites: MATH 26100
- Semester(s) Offered: Fall

## MATH 42600 Introduction to Applied Mathematics and Modeling

- Credit Hours: 3
- Course Summary: Introduction to problems and methods in applied mathematics and modeling. Formulation of models for phenomena in science and engineering, their solutions, and physical interpretation of results. Examples chosen from solid and fluid mechanics, mechanical systems, diffusion phenomena, traffic flow, and biological processes.
- Prerequisites: MATH 26600 and PHYS 15200.
- Semester(s) Offered: Spring

## STAT 43200 Introduction to Stochastic Process and Probability Modeling

- Credit Hours: 3
- Course Summary: The course builds on elementary probability theory and introduces stochastic processes applied to the study of phenomena in fields such as engineering, computer science, management science, the life, physical and social sciences, and operations research. The approach is heuristic and non-rigorous. It develops students' intuitive feel for the subject and enables them to think probabilistically. Computation is emphasized and requires use of software such as Excel, MINITAB, and R.
- Prerequisites: STAT 41600 or equivalent
- Semester(s) Offered: Fall

## STAT 43301 Introduction to Nonparametric Statistics

- Credit Hours: 3
- Course Summary: The course acquaints students with rank-based, permutation-based and resampling-based methods of statistical analysis used in widely applicable settings where the data do not follow parametric models. It extends techniques taught in STAT 51100, where the normal theory is assumed, to situations where the normal theory does not hold. It includes computer projects which use statistical software such as R and SAS.
- Prerequisites: STAT 41700 and STAT 42100 or equivalents
- Semester(s) Offered: Fall

## MATH 44400 Foundations of Analysis

- Credit Hours: 3
- Course Summary: Set theory, mathematical induction, real numbers, completeness axiom, open and closed sets in Rm, sequences, limits, continuity and uniform continuity, inverse functions, differentiation of functions of one and several variables. See Course Web Site for more information.
- Prerequisites: MATH 26100
- Semester(s) Offered: Fall

## MATH 44500 Foundations of Analysis II

- Credit Hours: 3
- Course Summary: 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. See Course Web Site for more information.
- Prerequisites: MATH 44400
- Semester(s) Offered: Spring

## MATH 45300 Beginning Abstract Algebra

- Credit Hours: 3
- Course Summary: Basic properties of groups, rings, and fields, with special emphasis on polynomial rings.
- Prerequisites: MATH 35100
- Semester(s) Offered: Fall

## MATH 45400 Galois Theory

- Credit Hours: 3
- Course Summary: An introduction to Galois Theory, covering both its origins in the theory of roots of polynomial equations and its modern formulation in terms of abstract algebra. Topics include field extensions and their automorphisms, symmetric polynomials, the Galois correspondence, solvable groups, and the solvability of polynomial equations by radical operations.
- Prerequisites: MATH 45300
- Semester(s) Offered: Spring(Even)

## MATH 45600 Introduction to the Theory of Numbers

- Credit Hours: 3
- Course Summary: Divisibility, congruences, quadratic residues, Diophantine equations, and the sequence of primes.
- Prerequisites: MATH 26100
- Semester(s) Offered: Spring(Odd)

## EDUC-M 457 Methods of Teaching Senior High/Junior High/Middle School Mathematics

- Credit Hours: 3
- Course Summary: Study of methodology, heuristics of problem solving, curriculum design, instructional computing, professional affiliations, and teaching of daily lessons in the domain of secondary and/or junior high/ middle school mathematics.
- Prerequisites: 30 credit hours of mathematics.
- Semester(s) Offered: Spring

## MATH 46200 Elementary Differential Geometry

- Credit Hours: 3
- Course Summary: 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 R2, first and second fundamental forms of surfaces, geodesics, parallel translation, isometries, and fundamental theorem of surfaces.
- Prerequisites: MATH 35100
- Semester(s) Offered: Spring

## MATH 46300 Intermediate Euclidean Geometry for Secondary Teachers

- Credit Hours: 3
- Course Summary: 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. Discussion of the teaching of Euclidean geometry.
- Prerequisites: MATH 30000
- Semester(s) Offered: Spring

## STAT 47200 Actuarial Models I

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: STAT 41700 or equivalent.
- Semester(s) Offered: Fall

## STAT 47300 Actuarial Models II

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: STAT 47200
- Semester(s) Offered: Spring

## STAT 47900 Loss Models

- Credit Hours: 3
- Course Summary: This material provides an introduction to modeling and covers important actuarial methods that are useful in modeling. Students will be introduced to survival, severity, frequency, and aggregate models, and use statistical methods to estimate parameters of such models given sample data. The student will further learn to identify steps in the modeling process, understand the underlying assumptions implicit in each family of models, recognize which assumptions are applicable in a given business application, and appropriately adjust the models for impact of insurance coverage modifications. The students will be introduced to a variety of tools for the calibration and evaluation of the models. Permission of instructor required.
- Prerequisites: STAT 41700 and STAT 47200 and STAT 47300
- Semester(s) Offered: Fall

## STAT 48000 Credibility and Simulation

- Credit Hours: 3
- Course Summary: A continuation of the material covered in STAT 47900, including Credibility Theory and Simulation calibration and evaluation of the models.
- Prerequisites: STAT 47900
- Semester(s) Offered: Spring

## MATH 49000 Topics in Mathematics for Undergraduates

- Credit Hours: 1-5
- Course Summary: Supervised reading and reports in various fields.
- Prerequisites: By arrangement. Open to students only with the consent of the department.
- Semester(s) Offered: Fall, Spring, Summer

## MATH 49100 Seminar in Competitive Math Problem-Solving

- Credit Hours: 1-3
- Course Summary: 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.
- Prerequisites: Approval of the director of undergraduate programs is required.
- Semester(s) Offered: Fall, Spring
- Additional Information: May be repeated twice for credit.

## MATH 49200 Capstone Experience

- Credit Hours: 1-3
- Prerequisites: By arrangement.
- Semester(s) Offered: Fall, Spring, Summer
- Additional Information: Must submit Course Request Form.

## MATH 49500 TA Instruction

- Credit Hours: 0
- Course Summary: 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.
- Semester(s) Offered: Fall, Spring

## STAT-N 501 Statistical Methods for Health Sciences

- Credit Hours: 3
- Course Summary: 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.
- Prerequisites: Math 15300
- Semester(s) Offered: Fall
- Additional Information: Credit cannot be given for more than one of STAT 30100, 35000 or 51100; or STAT N501.

“I think a lot of these kids need good mentors, people who can help them overcome their fears and really look at a way to help them relate math to their everyday life."

Caris Daily Mathematics, Undergraduate