# Catalog

## Course Descriptions

MATH 110: CONCEPTS OF MATHEMATICS

3 hrs. (TC)

**Prerequisite:** (1.) COMPASS reading score of 81 or higher, or equivalent, or department approval and
(2.) MAT 095 Geometry or high school equivalent with a grade of "C" or better or appropriate placement score and
(3.) MAT 098 or two years of high school algebra with a grade of "C" or better or MAT 099 with a grade of "C" or better or appropriate placement score or department approval.

This course introduces the nature of mathematics through a study of elementary logic, set theory, statistics, geometry, and the mathematics of finance. The course will focus on mathematical reasoning and real-life problem solving. This is not intended to be a survey course or a math appreciation course. ** [IAI: M1 904]**

MATH 111: GENERAL EDUCATION STATISTICS

3 hrs. (TC)

**Prerequisite:** (1.) COMPASS reading score of 81 or higher, or equivalent, or department approval and
(2.) MAT 095 Geometry or high school equivalent with a grade of "C" or better or appropriate placement score and
(3.) MAT 098 or two years of high school algebra or MAT 099 with a grade of "C" or better or appropriate placement score or department approval.

This course includes a study of frequency distribution, graphs (histograms, pie charts, etc.), measures of location (mean, median, mode, and percentile), measures of dispersion (variance, standard deviation), probability, estimating and predicting, normal distribution, binomial distribution, and correlation. This course will emphasize the quantitative portion of descriptive statistics -- gathering, analyzing, presenting and interpreting data. ** [IAI: M1 902]**

MATH 115: COLLEGE ALGEBRA

3 hrs. (TC)

**Prerequisite:** MAT 098 with a grade of "C" or better or an appropriate score on the math placement test

This course emphasizes both algebraic and graphical approaches to college algebra. Topics include functions, relations, and inverses with emphasis on polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; and theory of equations.

MATH 120: COLLEGE TRIGONOMETRY

3 hrs. (TC)

**Prerequisite:** MAT 095 and 098 with a grade of "C" or better or equivalent

This course includes a study of the trigonometric functions and their graphs, radian measure, inverse trigonometric functions, solutions of triangles, trigonometric identities and equations, and roots of complex numbers.

MATH 122: DISCRETE MATHEMATICS I

3 hrs. (TC)

**Prerequisite:** COMPASS reading score of 81 or higher, or equivalent, or department approval and MATH 115 with a grade of "C" or better or equivalent or department approval

This course covers directed and undirected graphs including trees and routing; combinatorics and counting principles; logic, functions, relations and sets; Boolean Algebra and switching theory; and finite state machines. Application problems from the field of computer science will be studied such as speed of sorting, database management, and routing in networks. ** [IAI: M1 905 ]**

MATH 130: TECHNICAL ALGEBRA AND TRIGONOMETRY

5 hrs. (OC)

**Prerequisite:** MAT 095 and MAT 098 with a grade of "C" or better, or MAT 106 with a grade of "C" or better, or two years of high school algebra, one year of high school geometry and an appropriate score on the math placement test

This course includes the topics: approaches to problem solving, dimensional analysis, the basic use of the calculator and computer, selected topics from college algebra, trigonometry, analytic geometry, and statistics. Included will be systems of equations, basic trigonometric functions, right triangle solutions, two dimensional vectors, common and natural logarithms, and basic conic sections. Scientific calculators and computer software are used.

MATH 134: FINITE MATH

4 hrs. (TC)

**Prerequisite:** COMPASS Reading score of 81 or higher, or equivalent, or department approval, and MATH 115 with a grade of "C" or better or equivalent

This course covers topics from college algebra with emphasis on systems of linear equations and inequalities, matrix theory, linear programming, probability, statistics, and mathematics of finance. Application problems are chosen from the fields of business and social science. ** [IAI: M1 906]**

MATH 135: CALCULUS FOR BUSINESS AND SOCIAL SCIENCES

4 hrs. (TC)

**Prerequisite:** COMPASS Reading score of 81 or higher, or equivalent, or department approval, and MATH 115 with a grade of "C" or better

This course covers the basic ideas of calculus including differentiation and integration of polynomial, logarithmic and exponential functions. Application problems are chosen from the fields of business and social science. ** [IAI: M1 900B]**

MATH 137: TECHNICAL CALCULUS

3 hrs. (OC)

**Prerequisite:** MATH 130 with a grade of "C" or better or equivalent

This course covers topics which include: functions, limits, derivatives, anti-derivatives, integrals, and applications of the definite integral. Emphasis is placed on the physical significance of the derivative and integral to enable the student to relate to the basic underlying mathematical principles.

MATH 165: PRECALCULUS

5 hrs. (TC)

**Prerequisite:** MAT 098 with a grade of C or better, or an appropriate score on the math placement test. NOTE: If a student has not previously completed a high school course in trigonometry, enrollment in the separate courses MATH 115 and MATH 120 is recommended. Students may not earn credit for both MATH 115/120 and MATH 165

This course is intended to provide a solid foundation in the skills of algebra and trigonometry that are required for success in elementary calculus. Algebraic topics will include: properties of functions and graphs that are commonly used in calculus, conic sections, solving equations and higher order systems of equations, and sequences and series. Trigonometry topics will include: numerical aspects, including Laws of Sines and Cosines; trigonometry identities and equation solving; powers and roots of complex numbers; and radian measure and conversion. This course will make use of current technology.

MATH 190: MATHEMATICAL REASONING FOR THE ELEMENTARY TEACHER I

3 hrs. (TC)

**Prerequisite:** MAT 095 with a grade of "C" or better and MAT 098 with a grade of "C" or better or appropriate math placement test scores for both courses or department approval.

This course is designed to deepen mathematical understanding by providing opportunities to develop problem-solving and reasoning skills. In order to develop depth of understanding, the course concentrates on problems involving fractions, percents, place value and decimals.

MATH 200: MATHEMATICS FOR ELEMENTARY TEACHERS I

4 hrs. (TC)

**Prerequisite:** MAT 095 with a grade of "C" or better and MAT 098 with a grade of "C" or better or appropriate math placement test scores for both courses or department approval.

This course is designed to reinforce and strengthen the prospective elementary teacherÂ´s knowledge of the structure of the real number system and the mathematical operations that can be performed within that system. The historical development of the system will be discussed along with many of the applications that an understanding of elementary mathematics permits. Mathematical reasoning and problem solving are consistent themes throughout the course.

MATH 201: MATHEMATICS FOR ELEMENTARY TEACHERS II

3 hrs. (TC)

**Prerequisite:** COMPASS reading score of 81 or higher, or equivalent, or department approval, and MATH 190 or MATH 200 with a grade of "C" or better or department approval.

This course is designed to survey and to expand the mathematical concepts needed to teach a modern mathematical program in grades K-9 and prepare teachers and prospective teachers for future changes in mathematics curricula. The course includes a study of logic and problem-solving, graphing and analysis of relations, functions and statistical data, non-metric and informal geometry, estimating and measuring, the metric system, and use of calculating devices. ** [IAI: M1 903]**

MATH 211: STATISTICAL ANALYSIS

4 hrs. (TC)

**Prerequisite:** COMPASS Reading score of 81 or higher, or equivalent, or department approval and MAT 095 and MATH 115 with a grade of "C" or better or equivalent

This course includes the study of frequency distribution, measures of central tendency, probability, statistical decision-making, testing hypothesis, analysis of variance, estimating and predicting. (formerly MATH 202)** [IAI: M1 902]**

MATH 222: CALCULUS AND ANALYTIC GEOMETRY I

5 hrs. (TC)

**Prerequisite:** COMPASS reading score of 81 or higher, or equivalent, or department approval; MATH 115 and MATH 120 with grades of "C" or better, or MATH 165 with a grade of "C" or better, or an appropriate score on the math placement test or equivalent.

This is the first course of a three-semester sequence in Analytic Geometry and Calculus. The course includes the analytic geometry of lines and circles, limits and continuity of functions of one variable and an introduction to the derivative and the definite integral along with applications and the fundamental theorem of calculus. ** [IAI: M1 9001]**

MATH 223: CALCULUS AND ANALYTIC GEOMETRY II

4 hrs. (TC)

**Prerequisite:** COMPASS Reading score of 81 or higher, or equivalent, or department approval, and MATH 222 with a grade of "C" or better or equivalent

This course is a continuation of MATH 222 and includes the analytic geometry of conic sections, the study of calculus as related to transcendental functions including trigonometric, logarithmic, exponential and hyperbolic functions and their inverses, techniques of integration, indeterminate forms, improper integrals, and infinite series and Taylor's theorem. ** [IAI: M1 9002]**

MATH 224: CALCULUS AND ANALYTIC GEOMETRY III

4 hrs. (TC)

**Prerequisite:** COMPASS Reading score of 81 or higher, or equivalent, or department approval, and MATH 223 with a grade of "C" or better or equivalent

This course is a continuation of MATH 223 and includes parametric curves, vectors in two and three dimensions, vector valued functions, curves and surfaces in space, curvature, acceleration, quadric surfaces, functions of several variables, partial derivatives and applications, Lagrange multipliers, multiple integrals and integration with polar, cylindrical, and spherical coordinates. ** [IAI: M1 9003]**

MATH 230: LINEAR ALGEBRA

3 hrs. (TC)

**Prerequisite:** MATH 223 with a grade of "C" or better

This course is a study of finite dimensional vectors, matrices, linear equations, vector spaces and subspaces, linear transformations, determinants and appropriate applications.

MATH 250: DIFFERENTIAL EQUATIONS

3 hrs. (TC)

**Prerequisite:** MATH 223 with a grade of "C" or better

This course includes first order (e.g., separable, linear, exact) with applications and simple higher order ordinary differential equations; linear independence and the Wronskian; linear differential equations with constant coefficients along with systems and applications; variation of parameters and undetermined coefficients; solution by means of Laplace transforms, solutions of partial differential equations, solution by power series and numerical methods. Prior knowledge of the basic concepts of physics is recommended. ** [IAI: MTH 912]**