## 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. This is a credit/no credit course. This course prepares the student to take MATH1300. Credit for courses numbered below 1000 is not transferable. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher, or Accuplacer QRAS score of 250 or higher, or instructor's approval

#### 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 satisfies the general education mathematics competency requirement. The course is designed for non-science majors. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher; or Accuplacer QRAS score of 250 or higher.

#### MATH1300 College Algebra (3)

Topics include polynomial arithmetic, synthetic division, zeroes of polynomials, systems of linear equations, matrices and matrix multiplication. This course prepares students to take MATH1400 and MATH2510. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** ACT Math score of 23 or higher, or SAT Math score of 600 or higher, or Accuplacer Elementary Algebra score of 117 or higher, or Accuplacer College Level Math score of 50 or higher, or Accuplacer QRAS or AAF score of 265 or higher, or instructor's approval

#### MATH1400 Trigonometry (3)

Topics include the study of the trigonometric functions, plane trigonometry, and analytic trigonometry. This course prepares students to take MATH2510. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** MATH1300 (a grade of C or better); ACT Math score of 26 or higher, or SAT Math score of 670 or higher, or Accuplacer College Level Math score of 60 or higher, or Accuplacer AAF score of 285 or higher, or instructor's approval

#### 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. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** EDUC1100, enrollment in a program leading to an elementary or secondary teaching certificate; ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher, or Accuplacer QRAS score of 250 or higher.

#### 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. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** ACT Math score of 21 or higher, or SAT Math score of 570 or higher, or Accuplacer Elementary Algebra score of 74 or higher; or Accuplacer QRAS score of 250 or higher, or instructor's approval

#### MATH2310 Discrete Mathematics (3)

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

#### MATH2510 Calculus I (4)

Limits, derivatives (including trigonometric functions), integration and applications of the derivative, l'Hopital's Rule, area. AAF Accuplacer margin for error is already built in (1-2 questions can be missed and still achieve a 300). Students need to verify they have the prerequisites the first day of class. **Prerequisites:** MATH1400 (a grade of C or better); ACT Math score of 28 or higher, or SAT Math score of 710 or higher, or Accuplacer College Level Math score of 103 or higher, or Accuplacer AAF score of 300 or higher, or instructor's approval

#### MATH2520 Calculus II (4)

Area, volume, applications of the integral, techniques of integration (partial fractions, integration by parts, etc.), polar coordinates, integration in polar coordinates, infinite series. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** MATH2510

#### 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. Students need to verify they have the prerequisites the first day of class. **Prerequisites:** MATH2520

#### MATH3245 Probability and Statistics for Science and Engineering (3)

This course will develop a thorough understanding of the methods of probability and statistics which are used to model engineering problems and develop the necessary skills to implement and analyze basic statistical models using computer software. Intended for engineering majors. **Prerequisites:** MATH2520

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

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

#### 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 continuation of Calculus II. Partial differentiation, gradient and directional derivatives, multiple integrals, and topics in vector calculus including vector fields, curl, divergence as well as 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

#### 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. Recommended: MATH3540 and a programming language. **Prerequisites:** MATH2520

#### MATH3570 Teaching Mathematics in the Secondary School (2)

Course topics include strategies appropriate to this subject field, instructional materials and tools, and curricular structure common to this subject in the secondary school. Includes opportunities for candidates to assist and teach a minimum of 20 hours. (see EDUC3570) **Prerequisites:** Junior classification. Program admission. **Corequisites:** EDUC3750, EDUC3510

#### 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. May be repeated for credit. **Prerequisites:** MATH2510

#### 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. 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