# MATH - Mathematics

## 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-12000 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-13100 Algebra and Number Concepts for Educators

## MATH-14100 Geometry and Measurement Concepts for Educators

## MATH-19000 Workshop in Mathematics

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

## MATH-20000 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 12000 or three years of high school Mathematics including Trigonometry## MATH-20100 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 20000, MATH 24000, or MATH 21100## MATH-21100 Calculus for the Life Sciences

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

### Prerequisites

MATH 12000 recommended, or 3 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-24000 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 12000 or three years of high school Mathematics including Trigonometry## 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 20100## 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 25000## MATH-30500 Linear Algebra

The study of matrices and matrix algebra, systems of linear equations, matrix inverse and elementary matrices, properties of determinants, vector spaces, especially *R ^{n}* vectors, linear independence, basis sets, inner products and orthogonality.

### Prerequisites

MATH 20100 or MATH 24000## MATH-30600 Advanced Linear Algebra

### Prerequisites

MATH 30500## MATH-30700 Applied Linear Algebra

### Prerequisites

MATH 20000, MATH 20100, or MATH 24000## MATH-31000 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 two years of high school algebra## MATH-31400 Applied Probability and Statistics

### Prerequisites

MATH 20000, MATH 20100, or MATH 24000## MATH-31500 Probability Theory

The course covers the basic principles of probability and statistics, with applications. Topics include descriptive statistics, the axioms of probability, counting techniques, conditional probability, independence, discrete and continuous random variables, expected value, variation, normal, binomial and Poisson distributions, probability density functions, joint distributions, and point estimation. This course is an elective that completes the statistics sequence. Offered every Fall.

### Prerequisites

MATH 31400## MATH-31600 Advanced Statistics

This course covers confidence intervals for mean, proportion, and standard deviation, hypothesis testing, inferences based on two samples, analysis of paired data, analysis of variance, and linear regression and correlation.

### Prerequisites

MATH 31400 or MATH 31500## 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 20100## MATH-32500 Foundations of Advanced Mathematics

### Prerequisites

MATH 31000## MATH-32700 Introduction to Number Theory

### Prerequisites

MATH 20000 or MATH 24000## 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 20100## 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 20100 or MATH 24000 and CPSC 21000 or CPSC 31500## MATH-36000 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-36100 Real Analysis 2

A continuation of MATH 36000, 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 36000## MATH-396XX Topics in Mathematics

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

## MATH-42500 Mathematical Modeling

### Prerequisites

MATH 20100 or MATH 24000## MATH-43000 Complex Analysis

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

### Prerequisites

Grade of C- or higher in 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-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-48000 Senior Seminar

### Prerequisites

MATH 31500, MATH 36000 or MATH 44000## 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.