# MATH - Mathematics

## MATH-10200 Aviation Mathematics

This course provides a review of fundamental mathematics required for successful completion of other courses in the aviation curriculum, including algebraic equations, graphs, exponential and elementary trigonometry. 60 contact hours (60 lecture). Meets requirements of 14 CFR 147.

## MATH-11500 Introduction to Mathematical Thinking

This study of basic problem solving introduces the following topics: set theory, mathematical logic, basic counting techniques, probability, and descriptive statistics.

## MATH-11600 Win Lose or Draw

## MATH-11700 Storytelling with Data

## MATH-11900 College Algebra

## MATH-12300 Modeling our World with Mathematics

### Prerequisites

3 years of high school Mathematics## MATH-13100 Algebra and Number Concepts for Educators

## MATH-14100 Geometry and Measurement Concepts for Educators

## MATH-17000 Finite Mathematics

## MATH-19000 Workshop in Mathematics

A series of workshops intended to enhance the study of Mathematics, Mathematics instruction, or Mathematics history.

## MATH-19900 Precalculus

This course provides an analysis of the real number system, functions, graphing, exponential and logarithmic functions, trigonometric functions and topics in analytic geometry.

### Prerequisites

MATH 11900 or two years of high school Algebra## MATH-20200 Business Calculus

This course covers concepts in applied calculus. We will explore functions and linear models, derivatives, techniques of differentiation, logarithm functions, the integral, functions of several variables, and trigonometric models. The main goal of this course is to make calculus relevant and interesting to the business student applying real data/cases with interesting examples and exercises.

## MATH-20400 Calculus for the Life Sciences

This course presents the tools of calculus using applications and models germane to the life sciences.

### Prerequisites

MATH 19900 recommended, or 3 years of high school Mathematics## MATH-20600 Applied Calculus

This course provides a study of the concepts in differential and integral calculus, including sequences and series, continuity, limits, differentiation, and integration, with a focus on scientific and engineering applications. Students use mathematical software packages such as Maple or MATLAB for solving Calculus-based problems.

### Prerequisites

MATH 19900 or three years of high school Mathematics including Trigonometry## MATH-20900 Calculus 1

This course provides a study of the concepts in differential calculus, graphs, continuity, differentiation, and applications for algebraic and trigonometric functions. Antiderivatives and definite integrals are introduced at the end of the course.

*IAI: M1 900-1*

### Prerequisites

Grade of C- or higher in MATH 19900 or three years of high school Mathematics including Trigonometry## MATH-21000 Discrete Mathematics

An introduction to discrete structures, this course covers such topics as basic logic, sets, basic proof techniques, relations, functions, the basics of counting and probability, graphs and trees.

### Prerequisites

MATH 11900 or successful completion of three years of high school Mathematics, including Trigonometry## MATH-21500 Probability and Statistics Concepts for Educators

This course covers concepts of statistics and probability appropriate for elementary and middle school teachers. This course is an introduction to the fundamental principles and procedures of statistical methods, including a study of frequency distribution, measures of central tendency, probability, statistical decision-making, testing hypotheses, estimating, and predicting. Microsoft Excel is used to reinforce major course concepts.

## MATH-22000 Applied Probability and Statistics

### Prerequisites

MATH 20600 or MATH 20900. MATH 21000 is recommended.## MATH-23500 Calculus 2

This course provides a study of the concepts of integral calculus. Applications of the definite integral, exponential and logarithmic functions and methods of integration are studied in detail. Sequences, infinite series, and power series are presented at the end of the course.

### Prerequisites

Grade of C- or higher in MATH 20400, 20600, or 20900## MATH-25000 Calculus 3

This course provides a study of Euclidean vector spaces, conic sections, other coordinate systems, parameterized curves and functions of several variables. Differential and integral calculus for functions involving vectors, along with their applications, is presented.

### Prerequisites

Grade of C- or higher in MATH 23500## MATH-27000 History of Mathematics

This course surveys the historical development of mathematics spanning from the pre-Greek period to modern times. Biographical information on mathematicians and historical analysis of each era are included, with an emphasis on famous results and theorems.

### Prerequisites

MATH 21000## MATH-30000 Differential Equations

This course focuses on ordinary differential equations. It includes variable separable equations, equations with homogeneous coefficients, exact equations, first order linear equations, applications, homogeneous linear equations with constant coefficients, undetermined coefficients, variation of parameters, power series solutions, linear systems of equations and Laplace transforms.

### Prerequisites

MATH 23500## MATH-30500 Linear Algebra

This course provides a foundation in linear algebra together with applications. Topics include systems of linear equations; linear transformations and their properties; matrices, matrix algebra, and properties of special matrices; vector spaces (with a focus on real-valued vectors) and their properties. Applications may include computer graphics, radiography, ranking algorithms, Markov processes, and other problems from computer science.

### Prerequisites

MATH 20600 or MATH 20900 or MATH 21000## MATH-30600 Advanced Linear Algebra

### Prerequisites

MATH 30500## MATH-31500 Probability Theory

This course is a continuation of the probability concepts learned in Applied Probability and Statistics. It covers key concepts related to discrete and continuous univariate random variables and multivariate random variables and their applications. Topics include probability density functions, cumulative distribution functions, expectation, variance, covariance, jointly distributed random variables, moment generating functions, and conditional distributions. This course addresses topics found on Exam P for actuarial credentialing.

### Prerequisites

MATH 22000 and MATH 25000## MATH-31600 Advanced Statistics

This course is a continuation of the statistical methods introduced in Applied Probability and Statistics. Students will perform nonparametric hypothesis tests and hypothesis tests on categorical data, compute statistical power and significance, perform multiple regression analysis, complete a one-way analysis of variance, apply percentile matching and maximum likelihood, and perform likelihood ratio tests. Students will also use statistical software to solve complex problems.

### Prerequisites

MATH 22000## MATH-32000 Theories of Geometry

The study of Euclid’s geometry, its strengths and weaknesses, famous and advanced theorems and its impact on the development of geometry. This latter includes axiomatic systems and proofs, the parallel axiom and the analysis of constructions and transformation geometry.

### Prerequisites

MATH 21000## MATH-32500 Foundations of Advanced Mathematics

### Prerequisites

MATH 21000## MATH-32700 Introduction to Number Theory

### Prerequisites

MATH 20600 or MATH 20900## MATH-33000 History of Mathematics

This course surveys the historical development of mathematics spanning from the pre-Greek period to modern times. Biographical information on mathematicians and historical analysis of each era are included, with an emphasis on famous results and theorems.

### Prerequisites

MATH 23500## MATH-35000 Numerical Analysis

Students examine floating point arithmetic, polynomial interpolation, numerical methods of integration, numerical solution of non-linear equations and numerical linear algebra.

### Prerequisites

MATH 20600 or MATH 20900 and CPSC 20000 or CPSC 21000 or CPSC 31500 or DATA 20000## MATH-35500 Financial Mathematics

This course will provide students with an understanding of the fundamental concepts of financial mathematics and how those concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows. These are all topics covered on the financial mathematics actuarial exam (Exam FM).

### Prerequisites

MATH 23500 and MATH 22000 or MATH 21000## MATH-36500 Mathematical Modeling

### Prerequisites

MATH 20600 or MATH 23500## MATH-37500 Complex Analysis

A study of complex numbers, analytic functions, integration, power series and calculus of residues is presented.

### Prerequisites

MATH 30000 or MATH 32500## MATH-396XX Topics in Mathematics

This course provides students the opportunity to study topics of interest to mathematicians. Subject matter will vary.

## MATH-43000 Complex Analysis

A study of complex numbers, analytic functions, integration, power series and calculus of residues is presented.

### Prerequisites

MATH 30000 or MATH 32500## MATH-44000 Abstract Algebra 1

### Prerequisites

Grade of C- or higher in MATH 25000 and MATH 32500## MATH-44100 Abstract Algebra 2

A continuation of MATH 44000, this course studies rings, fields, Fermat’s Theorem, matrices ideals, ring homomorphisms polynomial rings, vector spaces and linear transformations.

### Prerequisites

MATH 44000## MATH-45000 Real Analysis 1

This course provides a formal presentation of the real number system and Euclidean vector spaces (inner products, norms and distance functions), compactness and connectedness, continuity, differentiation, and integration.

### Prerequisites

Grade of C- or higher in MATH 25000 and MATH 32500## MATH-45100 Real Analysis 2

A continuation of MATH 45000, this course studies uniform convergence, sequences and series of functions, differential and integral calculus for functions of several variables, the Implicit Function Theorem and the Inverse Function Theorem.

### Prerequisites

MATH 45000## MATH-47000 Workshop in Mathematics

This course provides opportunities for the presentation and discussion of a variety of concepts, principles, literature, and other topics important to the discipline.

### Prerequisites

In some cases, students will be required to obtain the permission of the instructor or chair.## MATH-47500 Mathematics Research

Students work under faculty supervision on a research project in mathematics, statistics, or a related area chosen in consultation with the faculty member. This course may be repeated multiple times for credit.

## MATH-48000 Senior Seminar

### Prerequisites

MATH 31500, MATH 44000, or MATH 45000## MATH-49800 Mathematics Internship

Students can acquire practical related experience through placement in selected settings. Students submit an internship proposal in advance for approval, maintain a daily task log and submit a five-page written summary report at the conclusion of the internship. A minimum of 210 clock hours and an interview with the on-site supervisor are required.

### Prerequisites

Junior or Senior status, Mathematics major, GPA of 3.00 or above and consent of the department chairperson## MATH-49900 Independent Study in Mathematics

This course is designed to meet the needs of mathematics majors wishing to study an advanced topic not found in the curriculum.