MATH-B 111 Mathematics for Business (3 cr)
With successful completion of this course, the student will have algebraic skills and tools that are used for problem-solving in the business professions and be prepared for MATH-M 118 (Finite Mathematics) and ECON-E 270 (Statistics). The college algebra topics will include, but not be limited to the following: Solving equations, functions, and inequalities; solving systems of linear equations; graphing of equations and functions; interpreting graphs/tables/charts of equations and functions; performing algebraic operations on polynomial, rational, radical expressions in one/several variables; development of mathematical model from a word problem; application of these algebraic concepts and skills in business applications.
- Offered Fall, Spring, and Summer Semester.
- Prerequisite: High School Algebra
- Credit given only for one: MATH-H 111, MATH-E 111, MATH-S 111, MATH-M 123 or MATH-M 110
- Open only to Business students.
MATH-E 111 Mathematics for Elementary Education (3 cr)
Designed for the elementary education student to develop skills in the use of numeration systems, number theory, set theory, logic, networks, systems of equations, and geometry. These skills will be useful in future teaching assignments and for passing the State of Indiana Praxis exam. The purpose of Math-E 111 is to provide the students with knowledge of the concepts, theories, and procedures in the mentioned areas. Offered every Fall and Spring semester.
- Offered Fall Semester.
- Credit given only for one: MATH-H 111, MATH-E 111, MATH-S 111, MATH-M 123 or MATH-M 110
- Prerequisite: High School Algebra
- Open only to Elementary Education Majors
MATH-H 111 Mathematics for the Humanities (3 cr)
Designed for the humanities student to provide a variety of topics in mathematics, including, but not limited to: numeration systems; geometry; financial management; statistics; set theory. The course also provides a general, historical perspective of mathematics and development of practical application skills. Emphasis will be placed on mathematical modeling and solving word problems.
- Offered every Fall, Spring, and Summer semester.
- Credit given only for one: MATH-H 111, MATH-E 111, MATH-S 111, MATH-M 123 or MATH-M 110
- Prerequisite: High School Algebra
- As of Fall 2013 this course replaces MATH-M 110.
- May use this course to FX a previously taken MATH-M110.
- Open to Humanities students only.
MATH-N 111 Mathematics for Nursing (3 cr)
With successful completion of this course, the student will have algebraic skills and tools that are used for problem-solving in the nursing profession and be prepared for NURS-H 355 (Data Analysis) ) and the nursing math test. The college algebra topics will include, but not be limited to the following: Solving equations, functions, and inequalities; solving systems of linear equations; graphing of equations and functions; interpreting graphs/tables/charts of equations and functions; solving direct/ indirect variation and proportion equations; use of dimensional analysis; development of mathematical model from a word problem; application of these algebraic concepts and skills in nursing applications.
- Offered every Fall and Spring semester.
- Prerequisite: High School Algebra
- Credit given only for one: MATH-H 111, MATH-E 111, MATH-S 111, MATH-M 123 or MATH-M 110
- Open only to Nursing students
MATH-S 111 Mathematics for Social Sciences (3 cr)
Designed for the social science student to provide math skills in problem-solving and reasoning for application in social science professions. To develop problem-solving and reasoning skills, mathematics topics may include, but are not limited to: logic (statements and truth tables), algebra of equations and graphing, elementary statistics, set theory, and counting & probability. Emphasis will be placed on mathematical modeling and solving word problems.
- Offered every Fall and Spring semester.
- Prerequisite: High School Algebra
- Credit given only for one: MATH-H 111, MATH-E 111, MATH-S 111, MATH-M 123 or MATH-M 110
- As of Fall 2016, this course replaces MATH-X 111, Math for Social Sciences.
- Open only to Social Science students.
MATH-X 111 Topics in Mathematics for Non-Majors (1-3 cr)
Designed to provide a variety of topics in mathematics, including, but not limited to: geometry; financial management; statistics; set theory; voting methods; celestial navigation; math of ancient civilizations. The course also provides a general, historical perspective of mathematics and development of practical application skills. Emphasis will be placed on mathematical modeling and solving word problems.
- Offered periodically.
- Prerequisite: High School Algebra
- May be repeated with different topic.
MATH-K 300 Statistical Techniques for Health Professions (3 cr)
Course introduces nursing/health science students to the basic concepts and techniques of data analysis needed in professional health care practice. Measurements, data analysis and statistics are examined. Differences in types of qualitative data and methods of interpretation are explored. Procedures of estimation and hypothesis testing are also studied. Emphasis is on the application of fundamental conception to real situations in client care.
- Credit given for only one of the following: MATH-K 300, MATH-K 310, PSY-K 300, PSY-K 310, ECON-E 270, SPEA-K 300.
- Offered every semester.
- Prerequisite: High School Algebra
MATH-M 118 Finite Mathematics (3 cr)
Set theory, linear systems, matrices and determinants, probability, and linear programming. Applications to problems from business and the social sciences.
- Offered every Fall, Spring, and Summer semester.
- Prerequisite: MATH-M 123 or Appropriate placement on skills review
MATH-M 119 Brief Survey of Calculus I (3 cr)
An introduction to calculus primarily for students in business and the social sciences.
- Credit not given for both MATH-M 119 and MATH-M 215.
- Offered every Fall and Spring semesters.
- Prerequisite: MATH-M 125 Pre-calculus Mathematics or Appropriate placement on skills review.
MATH-M 120 Brief Survey of Calculus II (3 cr)
A continuation of MATH-M 119 covering topics in elementary differential equations, calculus of functions of several variables, and infinite series.
- Offered periodically.
- Intended for non-physical science students.
- Credit not given for both MATH-M 216 and MATH-M 120.
- Prerequisite: MATH-M 119
MATH-M 123 College Algebra (3 cr)
Designed to prepare you for MATH-M 125. Algebraic operations; polynomial, exponential, and logarithmic functions and their graphs; conic sections; systems of equations; and inequalities.
- Offered every semester.
- Prerequisite: High School Algebra
MATH-M 125 Pre-Calculus Mathematics (3 cr)
Designed to prepare you for MATH-M 215. Algebraic operations; polynomial, exponential, and logarithmic functions and their graphs; conic sections; systems of equations; and inequalities.
- Offered every semester.
- Prerequisite: MATH-M 123 or Appropriate placement on skills exam
MATH-M 126 Trigonometric Functions (2 cr)
Designed to prepare you for MATH-M 215. Trigonometric functions; identities. Graphs of trigonometric and inverse trigonometric functions.
- Offered every semester.
- Prerequisite: MATH-M 125 or equivalent (may be taken concurrently)
MATH-M 153 Algebra & Trigonometry for the Life Sciences (3 cr)
Concepts in algebra and trigonometry for life science students. Algebraic operations; polynomial, exponential, logarithmic, trigonometric functions and their graphs; systems of equations; inequalities; Cartesian vectors.
- Offered Fall semesters.
- Prerequisite: MATH-M 123
MATH-M 215 Calculus I (5 cr)
Coordinates, functions, straight lines, limits, continuity, derivatives, definite integral, applications, circles, conics, techniques of integration, and infinite series.
- Credit not given for both MATH-M 119 and MATH-M 215, or MATH-M 120 and MATH-M 216.
- Offered every semester.
- Prerequisite: Appropriate placement on skills review or both MATH-M 125 and MATH-M 126.
MATH-M 216 Calculus II (5 cr)
Coordinates, functions, straight lines, limits, continuity, derivatives, definite integral, applications, circles, conics, techniques of integration, and infinite series.
- Credit not given for both MATH-M 119 and MATH-M 215, or MATH-M 120 and MATH-M 216.
- Offered every semester.
- Prerequisite: MATH-M 215 or consent of instructor
MATH-M 220 Calculus for Data Science I (3 cr)
Calculus for Data Science I is designed as an introduction to calculus with applications to data sciences, business and the social sciences.
- Offered Fall and Spring semesters.
- Prerequisite: MATH-M 125 or appropriate placement
MATH-M 230 Calculus for Data Science II (3 cr)
Calculus for Data Science II is designed as the second semester in a calculus sequence for the data sciences, business, and the social sciences.
- Offered Fall and Spring semesters.
- Prerequisite: MATH-M 220
MATH-M 295 Readings and Research (1-3 cr)
Supervised problem solving.
- Offered periodically.
- Prerequisite: Permission of a member of the mathematics faculty, who will act as supervisor.
MATH-M 301 Applied Linear Algebra (3 cr)
Emphasis on applications: systems of linear equations, vector spaces, linear transformations, matrices, simplex method in linear programming.
- Computer used for applications.
- Credit not given for both MATH-M 301 and MATH-M 303.
- Offered periodically.
- Prerequisite: MATH-M 216 or consent of instructor
MATH-M 303 Linear Algebra for Undergrads. (3 cr)
Introduction to theory of real and complex vector spaces. Coordinate systems, linear dependence, and bases. Linear transformations and matrix calculus. Determinants and rank.
- Credit not given for both MATH-M 301 and MATH-M 303.
- Offered every semester.
- Prerequisite: MATH-M 216 or consent of instructor
MATH-M 311 Calculus III (3 cr)
Elementary geometry of 2, 3, and n-space, functions of several variables, partial differentiation, minimum and maximum problems, and multiple integration.
- Offered every semester.
- Prerequisite: MATH-M 216 or consent of instructor
MATH-M 312 Calculus IV (3 cr)
Differential calculus of vector-valued functions, transformation of coordinates, change of variables in multiple integrals. Vector integral calculus: line integrals, Green’s theorem, surface integrals, Stokes’s theorem. Applications.
- Offered Spring and Summer semesters.
- Prerequisite: MATH-M 311 or consent of instructor
MATH-M 313 Elementary Differential Equations with Applications (3 cr)
Ordinary differential equations of first order and linear equations of higher order with applications, series solutions, operational methods, Laplace transforms, and numerical techniques.
- Offered Spring and Summer semesters.
- Prerequisite: MATH-M 216 or consent of instructor.
MATH-M 320 Theory of Interest (3 cr)
Measurement of interest; accumulation and discount; equations of value; annuities; perpetuities; amortization and sinking funds; yield rates; bonds and other securities; installment loans; depreciation, depletion, and capitalized cost.
- Offered Spring semesters.
- Prerequisite: MATH-M 216
MATH-M 340 Graph Theory (3 cr)
Introduction to graph theory with applications. Topics include directed and undirected graphs, paths, cycles, trees, spanning trees, Eulerian graphs, Hamiltonian graphs, connectivity, network flow, planar graphs, and coloring.
- Offered Summer semesters.
- Prerequisite: MATH-M 303 and MATH-M 393
MATH-M 366 Elements of Statistical Inference (3 cr)
Sampling distributions (chi-square, T and F distributions), order statistical decisions and inference. Hypothesis-testing concepts, Neyman-Pearson lemma, likelihood ratio tests, power of tests. Point estimation, method of moments, maximum likelihood, Cramer-Rao bound, properties of estimators. Regression, correlation, analysis of variance, non-parametric methods.
- Offered Fall and Spring semesters.
- Prerequisites: MATH-M 360 or MATH-M 466.
MATH-M 368 Survey of Statistics (3 cr)
Develops statistical literacy in evaluating statistical information through practical examples and software applications. Data collection, descriptive statistics, random variables and inferential statistics. Calculus techniques will be used in the calculation of probabilities and inferences, including confidence intervals, hypothesis testing, and linear regression.
- Offered Fall and Spring semesters.
- Prerequisite: MATH-M 215 (Calculus I), MATH-M 119 (Business Calculus I), MATH-M 220 (Calculus for Data Science I) or equivalent.
MATH-M 371 Elem. Computational Methods (3 cr)
Interpolation and approximation of functions, solution of equations, numerical integration, and differentiation. Errors, convergence, and stability of the procedures. You will write and use programs applying numerical methods.
- Offered fall semesters.
- Prerequisite: MATH-M 216, or consent of instructor.
MATH-M 380 History of Mathematics (3 cr)
Brief study of the development of algebra and trigonometry; practical, demonstrative, and analytic geometry; calculus, famous problems, calculating devices; famous mathematicians in these fields and chronological outlines in comparison with outlines in the sciences, history, philosophy, and astronomy.
- Offered every semester.
- Prerequisite: MATH-M 215 or consent of instructor.
MATH-M 384 Logic (3 cr)
Construction and study of formal mathematical languages. Definitions of, and relationships between, the notions of truth and provability of a formal sentence. Proof systems for logical systems such as propositional logic and syllogistic logic. Soundness, completeness, and decidability.
- Offered Fall semester.
- Prerequisite: MATH-M 393 or consent of instructor
MATH-M 393 Bridge to Abstract Mathematics (3 cr)
Preparation for 400 level math courses. Teaches structures and strategies of proofs in a variety of mathematical settings: logic, sets, combinatorics, relations and functions and abstract algebra.
- Offered every semester.
- Prerequisite: MATH-M 216 or consent of instructor
MATH-M 403 Introduction to Modern Algebra I (3 cr)
Study of groups, rings, fields (usually including Galois theory), with applications to linear transformations.
- Offered every semester.
- Prerequisites: MATH-M 303 and MATH-M 393
MATH-M 404 Introduction to Modern Algebra II (3 cr)
Study of groups, rings, fields (usually including Galois theory), with applications to linear transformations.
- Offered Summer semester.
- Prerequisite: MATH-M 403 or consent of instructor
MATH-M 405 Number Theory (3 cr)
Numbers and their representation, divisibility and factorization, primes and their distribution, number theoretic functions, congruencies, primitive roots, diophantine equations, quadratic residues, and sums of squares.
- Offered summer semester.
- Prerequisite: MATH-M 393
MATH-M 406 Topics in Mathematics (3 cr)
Selected topics in various areas of mathematics which are not covered by the standard courses.
- May be repeated for credit.
- Offered periodically.
- Prerequisite: Permission of mathematics faculty who will act as supervisor.
MATH-M 413 Introduction to Analysis I (3 cr)
Modern theory of real number system, limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics.
- Offered Fall and Spring semesters.
- Prerequisites: MATH-M 311 and MATH-M 393
MATH-M 414 Introduction to Analysis II (3 cr)
Modern theory of real number system, limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics.
- Offered Spring semesters.
- Prerequisite: MATH-M 413 or consent of instructor
MATH-M 415 Elementary Complex Variables with Applications (3 cr)
Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, integration, calculus of residues, conformal mappings. Applications to physics.
- Offered Summer semesters.
- Prerequisite: MATH-M 303 and MATH-M 311
MATH-M 421 Introduction to Topology I (3 cr)
Introduction to point set topology with emphasis on metric spaces. Continuity, Cartesian products, connectedness, compactness, completeness. Elements of homotopy theory, fundamental group and covering spaces, elementary homology theory, applications to simplicial complexes and manifolds.
- Offered Spring semesters.
- Prerequisite: MATH-M 413
MATH-M 422 Introduction to Topology II (3 cr)
Introduction to point set topology with emphasis on metric spaces. Continuity, Cartesian products, connectedness, compactness, completeness. Elements of homotopy theory, fundamental group and covering spaces, elementary homology theory, applications to simplicial complexes and manifolds.
- Offered periodically.
- Prerequisite: MATH-M 421
MATH-M 436 Algebraic Geometry (3 cr)
Introduction to algebraic geometry. Topics include an introduction to rings and ideals, affine varieties, parameterizations, the Hilbert Basis Theorem, Gröbner bases, Hilbert's Nullstellensatz, and the algebraic-geometry dictionary.
- Offered Fall semesters.
- Prerequisite: MATH-M 303 and MATH-M 393
MATH-M 445 Probability Theory for Risk Management (3 cr)
Single and multivariate probability distributions, functions of random variables, mixed distributions, probability inequalities, basic concepts of risk management and insurance, probability models and methods for quantitative risk assessment, preparation for SOA/CAS Exam P/1.
- Offered periodically.
- Prerequisite: MATH-M 463
MATH-M 447 Math Models & Applications I (3 cr)
Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.
- Offered Fall and Spring semesters.
- Prerequisites: MATH-M 303 and MATH-M 311
MATH-M 448 Math Models & Applications II (3 cr)
Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.
- Offered Spring semesters.
- Prerequisites: MATH-M 447.
MATH-M 451 The Mathematics of Finance (3 cr)
Course covers probability theory, Brownian motion, Ito’s Lemma, stochastic differential equations, and dynamitic hedging. These topics are applied to the Black-Scholes formula, the pricing of financial derivatives, and the term theory of interest rates.
- Offered Summer and Fall semesters.
- Prerequisites: MATH-M 303 and MATH-M 311
MATH-M 463 Introduction to Probability Theory I (3 cr)
The meaning of probability. Random experiments, conditional probability, independence. Random variables, expected values and standard deviations, moment generating functions, important discrete and continuous distributions. Poisson processes. Multivariate distributions, basic limit laws such as the central limit theorem.
- Offered Summer and Fall semesters.
- Prerequisites: MATH-M 303 and MATH-M 311
MATH-M 466 Introduction to Mathematical Statistics (3 cr)
Rigorous mathematical treatment of problems in sampling and statistical inference. Sufficient statistics, exponential distributions, monotone likelihood ratio, most powerful tests, minimum variance estimates, shortest confidence intervals, linear models and analysis of variance, nonparametric methods.
- Offered Fall semesters.
- Prerequisite: MATH-M 463 or consent of the instructor.
MATH-M 471 Numerical Analysis I (3 cr)
Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of systems of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.
- Offered Fall semesters.
- Prerequisites: MATH-M 303 and MATH-M 311
MATH-M 499 Senior Seminar (3 cr)
Students integrate their study of mathematics and explore the connections within fields of mathematics and other disciplines. Students usually create a portfolio that showcases their understanding of the areas of study within mathematics and their applications outside of mathematics. Alternatives may include internships or other projects, as approved by advisor.
- Offered every semester.
- Prerequisite: Senior standing as a Mathematics Major.
Mathematics for Educators
MATH-T 321 Intuitive Topology (3 cr)
Intuitive description of topology, including networks and maps, topological equivalence, classification of surfaces, spheres with handles, Jordan curve theorem, transformations, and fixed-point theorems.
- Offered Summer semester.
- Prerequisite: MATH-M 216 or consent of instructor.
MATH-T 336 Topics in Euclidean Geometry (3 cr)
Axiom systems for the plane; the parallel postulate and non-Euclidean geometry; classical theorem. Geometric transformation theory; vectors and analytic geometry; convexity; theory of area and volume.
- Offered summer semesters.
- Prerequisite: MATH-M 216 or consent of instructor.
MATH-J 497 Internship in Teaching Collegiate Mathematics (1-3 cr)
Designed to provide an opportunity for students to teach basic algebra and observe with discussion instructional techniques at the collegiate level in preparation for further career development in teaching at a post-secondary level.
- Prerequisite: Senior standing in Mathematics degree or Math Education degree; Consent of 2 math faculty; Minimum GPA 3.0.
- Additional requirement: Teaching of a college level mathematics class
Graduate Courses
MATH-J 597 Internship in Teaching Collegiate Mathematics (1-3 cr)
Designed to provide an opportunity for students to teach 100 and 200 level undergraduate math courses and observe with discussion instructional techniques at the collegiate level in preparation for further career development in teaching at a post-secondary level.
- Prerequisite: Open to MAT students only; Consent of 2 math faculty; Minimum GPA 3.0.
- Additional requirement: Teaching of a college level mathematics class
MATH-T 601 Topics in Algebra (3 cr)
- Offered: Fall (Topic: Intro to Algebra), Spring (Topic: Survey of Algebra), Summer (Topic: Number Theory)
MATH-T 610 Topics in Analysis (3 cr)
- Offered: Spring (Topic: Real Variables), Summer (Topic: Fourier Analysis)
MATH-T 620 Topics in Topology/Geometry (3 cr)
- Offered: Fall (Topic: Topology); Spring (Topic Geometry)
MATH-T 640 Topics in Applications (3 cr)
- Offered: Fall (Topic: Numerical Analysis I)
MATH-T 650 Topics in Probability/Statistics (3 cr)
- Offered: Summer (Topic: Probability Theory)
MATH-Y 299 Junior Seminar (3 cr)
The Junior Seminar course is designed to improve students' ability to describe their accomplishments and excel in situations such as professional networking, interviews, presentations, and at all other possible career-related fields. The course will enhance students' writing skills and improve their career plans.
- Offered periodically.
- Prerequisite: MATH-M 215