## Mathematics Course Description(s)

#### MATH0900 Essential Mathematics (3)

Whole numbers, fractions and mixed numbers, decimals, ratio, proportion, percent, measurement, geometry, introduction of algebra, solving equations, and statistics. This is a credit/no credit course. Receiving credit for this course prepares the student to take MATH1100 or MATH2240. Credit for courses numbered below 1000 is not transferable.

#### MATH0950 Intermediate Algebra (3)

Linear equations and inequalities, graphing lines, systems of equations, exponents, polynomials, factoring, radicals, complex numbers, and the quadratic formula. **Prerequisites:** Pass MATH0900, or COMPASS Examination score equivalent to an ACT of 21 on the Algebra section, an ACT score of at least 21; or Instructor's permission. Students must verify they have met the prerequisites on the first day of class. This is a credit/no credit course. Receiving credit for this course prepares the student to take MATH1300. Credit for courses numbered below 1000 is not transferable.

#### MATH1100 Liberal Arts Mathematics (3)

Students will explore mathematical ideas and logical reasoning. This class will look at mathematical applications in life which may include topics such as statistics, fair voting schemes, prime numbers, and modular arithmetic. Students will also develop their own insights and theorems through the exploration of mathematical patterns. The content of the class may vary each semester. The course is designed for non-science majors. The course satisfies the general education mathematics competency requirement. **Prerequisites:** ACT score of 21 or equivalency on the COMPASS Exam.

#### MATH1300 College Algebra (3)

Topics include polynomial arithmetic, synthetic division, zeroes of polynomials, systems of linear equations, matrices and matrix multiplication. **Prerequisites:** ACT score of 23 or instructor's permission. Students need to verify they have the prerequisites the first day of class. This course prepares students to take MATH1400 and MATH2510.

#### MATH1400 Trigonometry (3)

Topics include the study of the trigonometric functions, plane trigonometry, and analytic trigonometry. **Prerequisites:** MATH1300 (a grade of C or better), an ACT score of 26, or instructor's permission. Students need to verify they have the prerequisites the first day of class. This course prepares students to take MATH2510.

#### MATH1510 Survey of Calculus (3)

The concepts of calculus are emphasized. All concepts are considered from the intuitive point of view. Applications are drawn primarily from business, economics, and population models. Trigonometric functions are not considered. **Prerequisites:** MATH1300 (a grade of C or better), an ACT score of 26, or instructor's permission. Students need to verify they have the prerequisites the first day of class.

#### MATH2010 Fundamental Mathematical Structures I (3)

Includes problem solving and mathematical reasoning, sets, relations and functions, numeration, the system of whole numbers, integers and rational numbers, and number theory. Laboratory activities are included. **Prerequisites:** EDUC1100, Math ACT score of 21 or Compass score of 50., or instructor's approval.

#### MATH2020 Fundamental Mathematical Structures II (3)

Includes probability and statistics, basic geometric concepts and measurement, constructions, congruence, similarity and transformations. Laboratory activities are included. **Prerequisites:** MATH2010, or instructor's approval.

#### MATH2240 Elementary Statistics (3)

Introduction to statistical terminology and basic concepts, including common uses and misuses of statistics. Topics include experimental design, sampling, descriptive statistics, correlation and regression, probability, and tests of significance. This is a valuable course for students in all majors. This course satisfies the general education mathematics competency requirement. **Prerequisites:** ACT score of 21, COMPASS Exam score equivalent to an ACT of 21, receiving credit for MATH0900, or instructor's permission. Students need to verify they have the prerequisites the first day of class.

#### MATH2310 Discrete Mathematics (3)

An introduction to graph theory, logical operators, mathematical induction, enumeration and Boolean algebra. **Prerequisites:** MATH1300 (a grade of C or better). Students need to verify they have the prerequisites the first day of class.

#### MATH2510 Calculus I (4)

Limits, derivatives, integration and applications of the derivative, applications of integrals, integration techniques, logarithmic, exponential, trig and inverse trig functions. **Prerequisites:** MATH1400 (a grade of C or better), an ACT score of 28, or instructor's permission. Students need to verify they have the prerequisites the first day of class.

#### MATH2520 Calculus II (4)

Infinite series, vectors, partial differentiation, multiple integrals.

#### MATH3010 Teaching Mathematics in the Secondary School (2)

Strategies appropriate to this subject field, instructional materials and tools, curricular structure common to this subject in the secondary school. Includes opportunities for students to observe and teach a minimum of 20 hours in a secondary classroom. (See EDUC3570) **Prerequisites:** Junior classification., Program admission required. **Corequisites:** EDUC3750, EDUC3510

#### MATH3094 Topics in Mathematics (1-4)

Intensive study of one topic.

#### MATH3240 Probability and Statistics I (3)

Study of combinatorial analysis, probability, random variables and their distributions, estimation, statistical inference, regression and correlation, and analysis of variance. **Prerequisites:** MATH2520, Students need to verify they have the prerequisite the first day of class.

#### MATH3250 Probability and Statistics II (3)

A continuation of MATH3240 Probability and Statistics I. **Prerequisites:** MATH3240, Students need to verify they have the prerequisite the first day of class.

#### MATH3280 Modeling and Operations Research (3)

A survey of fundamental operations research techniques. Emphasis is given to the linear programming model. Other topics will be chosen from network models, decision analysis, queuing theory and dynamic programming. Offered: Alternate years **Prerequisites:** MATH1300 OR MATH3320.

#### MATH3310 Introduction to Abstract Mathematics (3)

Logic, mathematical induction, sets, equivalence relations and equivalence classes, and order relations are studied. Emphasis is given to constructing sound mathematical arguments. **Prerequisites:** MATH2310 OR MATH2510., or instructor's approval.

#### MATH3320 Linear Algebra (3)

A study of vector spaces, linear transformations, matrices, determinants and system of equations. Special attention is given to the connection between linear transformations and matrices. Offered: Alternate years **Prerequisites:** MATH1300 or MATH2510.

#### MATH3410 Modern Geometry (3)

A review of Euclidean Geometry is followed by a wider view of geometry. Topics may include hyperbolic geometry, finite geometries and metric geometries other than Euclidean. Offered: Alternate years **Prerequisites:** MATH1400 or MATH2510., or instructor's approval.

#### MATH3530 Calculus III (4)

A study of Euclidean space and the calculus of functions on this space. In particular vector fields with the operators curl and divergence. Also the integral calculus involving line and surface integrals. Green's Theorem, Stokes Theorem, and Gauss' Theorem are further topics to be studied. Students need to verify they have the prerequisite the first day of class. **Prerequisites:** MATH2520, Students need to verify they have the prerequisite the first day of class.

#### MATH3540 Differential Equations (4)

A first course in ordinary differential equations. Linear algebra will be introduced for systems of linear differential equations. Students need to verify they have the prerequisite the first day of class. **Prerequisites:** MATH2520

#### MATH3560 Numerical Analysis (3)

Numerical solution of algebraic and transcendental equations and systems of linear equations, interpolation, finite differences, numerical differentiation and integration and solution of differential equations. Emphasis on methods most adaptable for computer use. **Prerequisites:** MATH2520, Recommended: MATH3540 and a programming language.

#### MATH4100 History of Mathematics/Capstone (1)

A study of the emergence of numeration methods, the invention of new mathematical systems, the development of geometry, algebra, calculus and related concepts, and the life stories of some of the persons involved. **Prerequisites:** MATH2510, May be repeated for credit.

#### MATH4240 Advanced Engineering Mathematics (3)

A class in advanced mathematics with engineering applications. Topics may include probability, statistics, linear algebra, and partial differential equations. **Prerequisites:** MATH3540

#### MATH4320 Modern Algebra (4)

The similarities between the algebraic structures arising in the study of number systems, modular arithmetic and polynomial operations will be used to introduce the study of groups, rings, fields, and their mapping. These structures will be applied to number theoretic and geometric problems. Offered: Alternate years **Prerequisites:** MATH3310 or MATH3320, or instructor's approval.

#### MATH4330 Modern Algebra (2)

A continuation of MATH4320 Modern Algebra (4). Offered: Alternate years **Prerequisites:** MATH4320

#### MATH4510 Introduction to Real Analysis (4)

Course one of a two-course sequence in the theory of calculus. Topics include limits, continuity, derivatives, integrals, sequence, series and series of function. An introduction to metric topology is given. Offered: Alternate years **Prerequisites:** MATH2520, MATH3310

#### MATH4520 Introduction to Real Analysis (2)

A continuation of MATH4510. Offered: Alternate years **Prerequisites:** MATH4510