# Department of Mathematics

When you excel at many mathematics applications, you set yourself up to be a coveted resource, expert and asset to provide leading-edge insights and advanced solutions to organizational challenges and opportunities.

If you are fascinated with the ways in which quantitative reasoning impacts our lives, the Department of Mathematics has a program that will appeal to you.

Learn how the principles of the various fields in mathematics work together to help you create innovative solutions and develop analytical skills to mathematically model your world. You will apply mathematics to a variety of issues, from data collection to mathematical theory. You will develop problem-solving skills through a combination of classroom learning with hands-on experience and strong faculty mentorship. Our diverse faculty members have a passion for teaching, and their guidance will challenge you to conquer any project you undertake, including:

- Working on current problems challenging the field of mathematics
- Developing computer programs to overcome issues encountered by software engineers
- Learning advanced teaching methods to pass on your love of mathematics to a new generation

## Bachelors

- Mathematics | Bachelor of Arts: Mathematics (Industrial/Academic)
- Mathematics | Bachelor of Arts: Mathematics (Middle School Math)
- Mathematics | Bachelor of Arts: Mathematics (Teaching)
- Mathematics | Bachelor of Science: Mathematics (Industrial/Academic)
- Mathematics | Bachelor of Science: Mathematics (Middle School Math)
- Mathematics | Bachelor of Science: Mathematics (Teaching)

## Minors

## Masters

**MATH 010**

**Intermediate Algebra**

**(3 Credits)**

This course is designed to serve as preparation for MATH 110. Topics include properties of real numbers, linear and quadratic equations, absolute value equations and inequalities, systems of linear equations and inequalities, operations on polynomials and factoring, operations on rational equations, graphs of functions, integer and rational exponents, and radicals. Students completing this course will have 2 or 3 credit hours added to the minimum degree requirements.

**MATH 101**

**Contemporary Mathematics**

**(3 Credits)**

This course offers a survey of various mathematical topics for the non-math/science major. In addition to skill development, mathematics will be studied with an emphasis on real-world application spanning many disciplines to support the concept that math impacts much of our everyday lives.

Topics may include algebra, geometry, probability and statistics, the real number system, and logic.

**Eligibility Rules:**Has completed or currently enrolled in MATH010 with a grade of C or better, or ACT Math and Science score of 35 or greater with no score lower than 15, or SAT Math score of 490 or higher, or Math placement exam score of 12 or higher

**MATH 105**

**College Algebra with Review**

**(5 Credits)**

A study of equations, graphs, and inequalities for linear, quadratic, polynomial, rational, logarithmic, exponential, and absolute value functions. Transformations on graphs, complex numbers, circles, systems of inequalities, and systems of equations including matrices.

**Eligibility Rules:**ACT Math and Science of 35 or greater with no score less than 15, or SAT Math score of 490 or greater, or Math placement exam score of 12 or greater

**MATH 110**

**College Algebra**

**(3 Credits)**

A study of equations, graphs, and inequalities for linear, quadratic, polynomial, rational, logarithmic, exponential, and absolute value functions. Transformations on graphs, complex numbers, circles, systems of inequalities, and systems of equations including matrices.

**Eligibility Rules:**Has completed or currently enrolled in MATH010 with a grade greater than or equal to C, or ACT Math and Science score of 40 or greater with no score less than 18, or SAT Math score of 520 or greater, or Math placement score greater than or equal to 15

**MATH 122**

**Plane Trigonometry**

**(3 Credits)**

In-depth study of trigonometry including definitions, unit circle and right triangle properties, identities, functions and their inverse, solving equations, graphing, solving triangles, and application to real world. Additional topics of polar coordinates and complex numbers may also be included.

**Eligibility Rules:**Has completed MATH105 or MATH110 with a grade of C or higher

**MATH 130**

**Pre-Calculus Mathematics**

**(3 Credits)**

In-depth study of linear, quadratic, absolute value, and rational equations and inequalities; polynomial, rational, exponential, and logarithmic functions; complex numbers; linear and non-linear systems of equations and inequalities; unit circle and right triangle trigonometry; law of sines and cosines; graphs of trigonometric functions; and verifying trigonometric identities.

**Eligibility Rules:**Has completed MATH 010 with grade of C or better, has an ACT Math score greater than or equal to 24, or has an SAT Math score greater than or equal to 580

**MATH 180**

**Concepts of Elementary Mathematics**

**(3 Credits)**

For the prospective teacher of elementary school mathematics. Detailed study of place value, arithmetic operations, exponentiation, mental math, fractions, factorization, integers, ratios, and percent in the context of the real number system.

**MATH 199**

**Mathematics Elective**

**(1-12 Credits)**

**MATH 221**

**Statics**

**(3 Credits)**

**Eligibility Rules:**Has completed PHYS111

**MATH 234**

**Analytic Geometry and Calculus I**

**(5 Credits)**

A study of algebraic and transcendental functions of one variable in the areas of analytic geometry, limits, continuity, derivatives, and integrals. This study includes computations of derivatives through

basic derivative rules (sum, product, quotient, chain, etc.), implicit differentiation, differentiation of

parametric equations, applications of derivatives (optimization and related rate), mean-value theorem, definite integral, the fundamental theorem of calculus, introductory integration techniques including substitution and parts, approximation of integrals, improper integrals, and introductory applications of definite integrals (area, volume, total accumulation).

**Eligibility Rules:**Has completed MATH122 or MATH130 with a grade of C or higher

**MATH 235**

**Analytic Geometry and Calculus II**

**(5 Credits)**

**Eligibility Rules:**Has completed MATH234

**MATH 236**

**Analytic Geometry and Calculus III**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 240**

**Linear Algebra**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 250**

**Elements of Statistics**

**(3 Credits)**

A study of sampling methods, distributions, measures of central tendency and dispersion, probability, binomial and normal distributions, Central Limit Theorem, confidence intervals, hypothesis testing for means and proportion, correlation, and regression.

**MATH 277**

**Early Field Experience: Mathematics Education**

**(1 Credit)**

**MATH 278**

**Apprenticeship-Mathematics**

**+**

**(1-2 Credits)**

**Eligibility Rules:**Has completed MATH277

**MATH 300**

**Survey of Mathematical Topics**

**(1-3 Credits)**

**MATH 301**

**Introduction to Proof**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 320**

**Geometry for Elementary Teachers**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH180

**MATH 331**

**Calculus Methods**

**(3 Credits)**

Non-math majors only. Techniques from calculus including limits, derivatives, and integration applied to business and sciences.

**Eligibility Rules:**Has completed MATH110 or MATH130

**MATH 350**

**Mathematical Statistics**

**(3 Credits)**

A study of probability, discrete and continuous distributions, expected value and dispersion, moment generating functions, joint distributions, correlation and regression, estimation, and hypothesis testing.

**Eligibility Rules:**Has completed MATH236, MATH301

**MATH 354**

**Differential Equations**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH236

**MATH 370**

**History of Mathematics**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 381**

**Teaching of Secondary School Mathematics**

**(3 Credits)**

Discussion of methods of teaching, collection and creation of mathematics teaching materials, preparation of a unity of study and performacne assessment, and presentation of lessons.

**Eligibility Rules:**Admission to Teacher Education and has completed MATH 278 with a C or better

**MATH 399**

**Mathematics Elective**

**(1-12 Credits)**

**MATH 610**

**Higher Algebra**

**(3 Credits)**

A first study of abstracted algebraic structures including investigation of groups, rings, integral domains, and fields. This study investigates, conjectures, and proves key properties on various concrete and abstracted sets of objects (sets of numbers, permultations, polynomials, matrices, symmetries, etc.) including the division algorithm in the integers, Euclid's Algorithm, unique factorization in the integers, permutations of finite sets, abstracted group properties, subgroup properties, cyclic groups, modular arithmetic, normal subgroups, cosets of subgroups, quotient groups, mappings, group isomorphisms, group homomorphisms, Cayley's Theorem, abstracted ring properties, subring properties, ring homomorphisms, ideals, abstracted integral domain properties, abstracted field properties, and applications to specific sets.

**MATH 610G**

**Higher Algebra**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 620**

**Modern Geometry**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 620G**

**Modern Geometry**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 631**

**Advanced Calculus I**

**(4 Credits)**

**Eligibility Rules:**Has completed MATH236, MATH301

**MATH 631G**

**Advanced Calculus I**

**(4 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 632**

**Advanced Calculus II**

**(3 Credits)**

Functions of several real variables: linear transformations, continuity, and differentiabilty, Inverse/Implicit Function Theorems, multiple integrals, and line and surface integrals.

**Eligibility Rules:**Has completed MATH631

**MATH 632G**

**Advanced Calculus II**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 640**

**Mathematics for the Physical Sciences**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 640G**

**Mathematics for the Physical Sciences**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 645**

**Discrete Mathematical Models**

**(3 Credits)**

An introduction to mathematical models. Topics include Markov chains, linear programming, game theory, and networks and flows.

**Eligibility Rules:**Has completed MATH240, MATH301

**MATH 645G**

**Discrete Mathematical Models**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 646**

**Discrete Structures**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH240, MATH301

**MATH 646G**

**Discrete Structures**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 650**

**Probability and Statistics**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH350

**MATH 650G**

**Probability and Statistics**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 660**

**Partial Differential Equations**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH354

**MATH 660G**

**Partial Differential Equations**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 661**

**Applied Mathematics**

**(3 Credits)**

Applications of mathematics to selected problems from the natural sciences.

**Eligibility Rules:**Has completed MATH354

**MATH 661G**

**Applied Mathematics**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 662**

**Vector Analysis**

**(2 Credits)**

The algebra and geometry of vectors, the calculus of vectors with applications. An introduction to tensors as time permits.

**Eligibility Rules:**Has completed MATH354

**MATH 662G**

**Vector Analysis**

**(2 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 665**

**Numerical Analysis**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH236

**MATH 665G**

**Numerical Analysis**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 670**

**Introduction to Set Theory and Metric Topology**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 670G**

**Introduction to Set Theory and Metric Topology**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 671**

**Theory of Numbers**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH235

**MATH 671G**

**Theory of Numbers**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 673**

**Problems**

**+**

**(1-4 Credits)**

**MATH 673G**

**Problems**

**+**

**(1-4 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 675**

**Seminar in Mathematics**

**+**

**(1-3 Credits)**

Students prepare a paper on a mathematics or mathematics education topic and give an oral presentation to Mathematics and Computer Science faculty and students.

**Eligibility Rules:**Has completed MATH235

**MATH 675G**

**Seminar in Mathematics**

**+**

**(1-3 Credits)**

Students prepare a paper on a mathematics or mathematics education topic and give an oral presentation to Mathematics and Computer Science faculty and students.

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 686**

**Enrichment Topics in Mathematics**

**+**

**(1-3 Credits)**

Content varies, but may be a study of supplementary topics to be used as enrichment in the teaching of mathematics in the elementary and secondary school.

**MATH 686G**

**Enrichment Topics in Mathematics**

**+**

**(1-3 Credits)**

Content varies, but may be a study of supplementary topics to be used as enrichment in the teaching of mathematics in the elementary and secondary school.

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 805**

**Problems in the History of Mathematics**

**(3 Credits)**

Emphasis on problem-solving strategies and historical development of various areas of mathematics. Designed for mathematics teachers.

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 810**

**Abstract Algebra I**

**(3 Credits)**

**Eligibility Rules:**Permission for MATH810, Graduate level

**MATH 811**

**Abstract Algebra II**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH810, Graduate level

**MATH 830**

**Elementary Topology**

**(3 Credits)**

Development of basic topological concepts such as continuity, metrizability, connectedness, compactness and various separation properties.

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 831**

**Functions of a Complex Variable**

**(3 Credits)**

Study of algebraic and geomestric representation of complex numbers, differentiations and integrations, Cuachy-Riemann Equations, Cauchy's Integral Theorem, harmonic functions, power series, Taylor and Laurent Series, Singularities and Residue Theorem.

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 833**

**Functions of a Real Variable**

**(3 Credits)**

A study of the classical theory of functions of a real variable, measure and integration, point set topology and normed linear spaces.

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 850**

**Theory of Probability**

**(3 Credits)**

**Eligibility Rules:**Has completed MATH833, Graduate level

**MATH 870**

**Teaching Techniques**

**(3 Credits)**

**Eligibility Rules:**Permission for MATH870, Graduate level

**MATH 872**

**Readings in Mathematics Education**

**+**

**(1-3 Credits)**

Directed readings and written reports/reflections on recent literature in mathematics education.

**Eligibility Rules:**Permission for MATH872, Graduate level

**MATH 875**

**Seminar**

**+**

**(1-3 Credits)**

**Eligibility Rules:**Permission for MATH875, Graduate level

**MATH 880**

**Mathematics Workshop for Teachers**

**+**

**(1-3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 881**

**Geometry and Measurement**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 882**

**Concepts of Algebra**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 883**

**Concepts of Calculus**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 884**

**Teaching Problem Solving in Mathematics**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 885**

**Concepts of Probability and Statistics**

**(3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 886**

**Enrichment Topics in Mathematics**

**+**

**(1-3 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral

**MATH 899**

**Thesis**

**+**

**(1-5 Credits)**

**Eligibility Rules:**Academic level is Masters, EdS, Grad Non-Degree OR Doctoral