### Courses

MATH 109 Precalculus Algebra Fundamentals Credits: 2

This course is required for students not meeting full placement requirements for MATH 110 (Precalculus Algebra) in order to concurrently enroll in MATH 110. Fundamental topics and skills that are necessary for success in MATH 110 will be developed in close alignment with the material covered in MATH 110 over the course of the semester. Students enrolling In this co-requisite course must remain enrolled in both courses for the semester. Students will not be permitted to withdraw from one of the courses (either MATH 109 and MATH 110) and not the other. Grades are not counted toward GPA. Does not fulfill Arts and Sciences mathematics requirement. Does not count toward graduation.

**Prerequisites:** ALEKS Score of 35 or higher; or ACT Math Sub-score of 18 or higher; or SAT Math Sub-score of 500 or higher.

**Co-requisites:** MATH 110.

MATH 110 Precalculus Algebra Credits: 3

Functions and graphs. Inverses, compositions, and transformation of functions. Solving equations, systems of equations, and inequalities. Linear, quadratic, polynomial, and rational functions. Exponential and logarithm functions and applications.

**Prerequisite:** MATH 100 with a grade of B- or higher; or ALEKS Score of 51 or higher; or ACT Math Sub-score of 22 or higher; or SAT Math Sub-score of 540 or higher; or concurrent enrollment in MATH 109.

MATH 110 - MOTR MATH 130: Pre-Calculus Algebra

MATH 116 Mathematics For Liberal Arts Credits: 3

A survey of elementary mathematics covering such topics as: logic, sets, counting methods, introduction to probability theory, introductory statistics, plane and coordinate geometry. The course will emphasize mathematical concepts and does not require the level of computational skill of College Algebra. Topics from the history of mathematics will be presented as well as the influence of mathematics on a variety of disciplines. Recommended preparation: Three units of high school mathematics Algebra I and higher.

MATH 116 - MOTR MATH 120: Mathematical Reasoning & Modeling

MATH 120 Precalculus Credits: 5

Functions and graphs. Inverses, compositions, and transformation of functions. Solving equations and systems of equations, and inequalities. Linear, quadratic, polynomial, and rational functions. Exponential and logarithm functions and applications. Trigonometric functions, trigonometric identities, triangles. Credit will be given for either MATH 110 or MATH 120, and for either MATH 120 or MATH 125.

**Prerequisites:** ALEKS Score of 56 or higher; ACT Math Sub-score of 24 or higher; or SAT Math Sub-score of 580 or higher.

MATH 120 - MOTR MATH 150: Pre-Calculus

MATH 125 Trigonometry Credits: 2

Trigonometric functions, trigonometric identities, triangles, and complex numbers. Credit will be given for either MATH 120 or MATH 125.

**Prerequisites:** MATH 110 with a grade of C- or higher; or ALEKS Score of 63 or higher; or ACT Math Sub-score of 28 or higher; or SAT Math Sub-score of 660 or higher.

MATH 206 Brief Calculus And Matrix Algebra Credits: 3

Brief review of selected topics in algebra. Introduction to matrix algebra. Introduction to differential calculus and optimization. Applications to problems in business.

**Prerequisites:** MATH 110 with a grade of C- or higher; or MATH 120 or higher with a grade of C- or higher; or ALEKS Score of 63 or higher.

MATH 210 Calculus I Credits: 4

Functions and graphs, rational, trigonometric, exponential functions, composite and inverse functions, limits and continuity, differentiation and its applications, integration and its applications.

**Prerequisites:** MATH 120 with a grade of C- or higher; or both MATH 110 and MATH 125 both with a grade of C- or higher; or ALEKS score of 76 or higher.

MATH 220 Calculus II Credits: 4

Techniques of integration, applications of the definite integral, improper integrals, sequences and series, power series. Taylor series and convergence, analytic geometry in calculus. Recommended preparation: MATH 210 or MATH 216.

MATH 250 Calculus III Credits: 4

Vectors, solid analytic geometry, vector functions and multiple variable functions, partial derivatives, multiple integrals, line and surface integrals with applications.

MATH 266 Accelerated Calculus I Credits: 4

An accelerated first course in calculus focusing on application of differential calculus and basic vector and matrix calculations. Enrollment in this course requires permission from the School of Computing and Engineering.

**Prerequisites:** MATH 120 with a grade of B or higher; or both MATH 110 & MATH 125 with a grade of B or higher; or ALEKS assessment score of 76% or higher.

MATH 268 Accelerated Calculus II Credits: 3

An accelerated second course in calculus focusing on application of integral calculus, analytic geometry, and vector analysis.

**Prerequisites:** MATH 266; School of Computing & Engineering Student.

MATH 300 Linear Algebra I Credits: 3

Linear equations, matrix algebra, real vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, orthogonality, and applications.

**Prerequisites:** MATH 250, (or MATH 220 and COMP-SCI 191).

MATH 301 On Solid Ground: Sets and Proof Credits: 3

This course is a transition from procedural mathematics, such as calculus, to advanced mathematics where proofs are the professional language of discourse. It covers basic set theory and logic, relations and functions, and how to analyze, construct, and write clearly reasoned, well-structured elementary proofs using universal techniques. This course satisfies a state requirement for teacher certification.

**Prerequisites:** MATH 220.

MATH 345 Ordinary Differential Equations Credits: 3

Students will study first order equations, linear second order differential equations, Taylor series and power series solutions, Laplace transforms, elementary systems of differential equations, numerical methods, and Fourier series and boundary value problems.

**Prerequisites:** MATH 250.

MATH 345L Ordinary Differential Equations Lab Credit: 1

This laboratory will enable the students to numerically solve first order, second order and systems of ordinary differential equations. Topics include Curve Fitting, Parameter Estimation, Numerical Solutions of Initial and Boundary Value Problems, and Model Specification.

**Prerequisites:** MATH 250.

MATH 402 Advanced Analysis I Credits: 3

Numerical sequences and completeness of the real numbers, numerical series, continuity and differentiation of real-valued functions of a real variable, integration and the fundamental theorem of calculus.

**Prerequisites:** MATH 250, MATH 301 (with a grade of B- or better).

MATH 406 Partial Differential Equations Credits: 3

Separation of variables, boundary value problems, Fourier series and integrals, wave equation, heat equation, potential equation, problems in several dimensions, and Bessel's differential equation.

**Prerequisites:** MATH 345 (or E&C-ENGR 241, or MEC-ENGR 272).

MATH 407 Introduction to Complex Variables Credits: 3

Complex numbers, complex differentiation, elementary functions, contour integration and the Cauchy integral formula, Taylor series and Laurent series, residue calculus and its applications, and special functions.

**Prerequisites:** MATH 250 and MATH 300 (or MATH 301 or MATH 345 or E&C-ENGR 241 or MEC-ENGR 272) with a grade of B- or better.

MATH 410 Modern Algebra Credits: 3

Groups, rings, integral domains, fields and polynomial rings.

**Prerequisites:** MATH 300, MATH 301 (with a grade of B- or better).

MATH 412 Advanced Analysis II Credits: 3

Topics in advanced analysis such as sequences and series of functions, power series and elementary functions, Fourier series, metric spaces, analysis in Euclidean spaces, or advanced integration.

**Prerequisites:** MATH 402.

MATH 420 Linear Algebra II Credits: 3

The topics of MATH 300 are expanded and presented in the context of vector spaces over a field, with rigorous justification. Vector spaces and linear transformations, determinants, eigenvalues and eigenvectors, inner product spaces and orthogonality.

**Prerequisites:** MATH 300, MATH 301 (with a grade of B- or better).

MATH 434 Introduction to Scientific Computing Credits: 3

This course provides a comprehensive introduction to numerical methods used in scientific computing. It focuses on solving math models arising from other fields such as physics, engineering, biology, and economics. The topics include mathematical foundations, numerical linear algebra, finite difference method, finite volume method, finite element method, and parallel computing. Recommended preparation: MATH 300.

MATH 464WI History Of Mathematics Credits: 3

Topics in the History of Mathematics from Babylonian times through the invention and consolidation of Calculus, with some modern subjects as time permits. The course will emphasize proofs, ideas, and arguments as given in original sources (in translation) from around the world and throughout history. In this writing intensive course, one or two term papers, in addition to several short essays and historical proof explications are required. A field trip will be taken to the Linda Hall Library Rare Book Room. This course is of special interest to secondary mathematics teachers as well as mathematics majors. Recommended preparation: MATH 301.

MATH 469 Mathematical Modeling Credits: 3

This course introduces analytical and numerical techniques for modeling and analysis of real-world problems in areas such as economics, engineering, biology and physics. It is designed for students with basic knowledge of linear algebra and differential equations. Interdisciplinary modeling projects are the integral part of this course. Recommended preparation: MATH 300 and MATH 345.

MATH 490 Special Topics Credits: 1-3

Selected topics in various fields of mathematics. May be repeated for credit when the topic varies.

MATH 496 Internship/Practical Training in Mathematics or Statistics Credits: 1-3

This course provides an internship or other practical training arrangement using mathematics or statistics in an industrial, academic or other professional setting. Department approval of internship experience or practical experience required. Repeatable with up to a combined 3 credits toward the major. Recommended preparation: MATH 250.