# Academics

### PREPARATION FOR CONCEPTS OF MATHEMATICS

**2 Credit Hours** (BEC)

This course reviews the skills and knowledge needed to be successful in a college classroom while supporting success in MATH 110, Concepts in Mathematics. Topics include but are not limited to: simplifying algebraic expressions; converting between fractions, decimals, and percents; solving linear equations; evaluating algebraic expressions; using inductive reasoning; and performing complex calculations using the order of operations.

**Pre-requisite:** Concurrent enrollment in MATH 110 and appropriate math placement test score, or department approval

### PREPARATION FOR GENERAL EDUCATION STATISTICS

**2 Credit Hours** (BEC)

This course reviews the skills and knowledge needed to be successful in a college classroom while supporting success in Math 111, General Education Statistics. Topics include real numbers, linear equations and inequalities, exponents, and graphing. Emphasis will be placed on modeling and problem solving, with techniques and manipulations covered in context with General Education Statistics.

**Pre-requisite:** Concurrent enrollment in Math 111 and a grade of "C" or higher in MATH 092 (or equivalent) or appropriate math placement test score, or department approval

### COREQUISITE FOR COLLEGE ALGEBRA

**2 Credit Hours** (BEC)

This course reviews the skills and knowledge needed to be successful in a college classroom while supporting success in MATH 115 College Algebra. Topics covered will support students in their study of polynomial, rational, exponential, and logarithmic functions; relations; inverses; systems of equations and inequalities; and theory of equations.

**Pre-requisite:** Concurrent enrollment in MATH 115 and appropriate math placement test score, or department approval

### PRE ALGEBRA

**3 Credit Hours** (BEC)

This course (formerly Introduction to Mathematics) is designed for students who need to review basic arithmetic and prealgebra skills before taking Elementary Algebra (MATH 094 - formerly MAT 104 and also MAT 094). Topics include basic operations and applications of whole numbers, fractions, decimals, signed numbers and an introduction to algebra. As calculators are not permitted in MATH 092 except for enrichment purposes, students must be able to add, subtract, multiply and divide without the aid of a calculator. Students who have completed one year of high school algebra should consider enrolling in Elementary Algebra.

**Pre-requisite:** Placement into MATH 092 is according to placement test scores or on a voluntary basis

### ELEMENTARY ALGEBRA

**5 Credit Hours** (BEC)

This course is specifically designed for the student with less than one year of credit in high school algebra or for the student who needs a review of elementary algebra. It is considered equivalent to the standard first-year course in algebra. Topics include real numbers, linear equations and inequalities, systems of equations, exponents, polynomials, factoring, quadratic equations, and rational expressions and equations. It is recommended that students take the math placement test before registering for any math course.

**Pre-requisite:** Placement into MATH 094 is according to placement test scores or on a voluntary basis

### ELEMENTARY GEOMETRY

**3 Credit Hours** (BEC)

This course is designed for the student with less than one year of credit in high school geometry or for the student who desires a review of elementary geometry. The basic concepts of the standard first-year course in geometry are covered.

**Pre-requisite:** MATH 094 with a grade of "C" or better or concurrent enrollment; or an appropriate score on the math placement test or one year of high school algebra

### ELEMENTARY ALGEBRA REVIEW

**2 Credit Hours** (BEC)

This course is specifically designed for the student with one or more years of credit in high school algebra who needs a brief review of elementary algebra. Students who need more than a brief review should enroll in MATH 094. Topics include real numbers, linear equations and inequalities, systems of equations, exponents, polynomials, factoring, quadratic equations, and rational expressions and equations.

**Pre-requisite:** Appropriate math placement score or one year of high school algebra (or equivalent) or department approval

### INTERMEDIATE ALGEBRA

**3 Credit Hours** (BEC)

This course includes work in linear and quadratic equations, systems of equations, exponents, radicals, functional relationships, and logarithms. It also includes work in graphing linear, quadratic, square root, cubic, exponential, and logarithmic functions. The course is designed for students who have had a minimum of one year of high school algebra or those needing a review of second-year high school algebra.

**Pre-requisite:** MATH 094 or MATH 097 with a grade of "C" or better or an appropriate score on the math placement test

### MATHEMATICAL LITERACY

**5 Credit Hours** (BEC)

This course is a one semester course for non-math and non-science majors integrating numeracy, proportional reasoning, algebraic reasoning, and functions. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Throughout the course, college success content will be integrated with mathematical topics. Credit earned does not count toward any degree, nor does it transfer. Upon successful completion of the course, students will be prepared to take MATH 110 or MATH 111. This course is not a prerequisite course for MATH 115.

**Pre-requisite:** A grade of "C" or higher in MATH 092 (or equivalent) or appropriate math placement test score, or department approval

### APPLIED ALGEBRA, GEOMETRY AND TRIGONOMETRY

**4 Credit Hours** (OC)

This course presents the practical application of arithmetic, algebra, geometry, and trigonometry. Emphasis is placed on calculations, areas, volumes and weights, and special shop applications. Applying problem-solving techniques to industrial applications will be stressed.

**Pre-requisite:** MATH 094 or equivalent or appropriate math placement score

### CONCEPTS OF MATHEMATICS

**3 Credit Hours** (TC)

This course focuses on appreciation of mathematical reasoning, including the solving of real-life problems, rather than focusing on routine skills. Three topics that will be studied in depth will include counting techniques and probability, the mathematics of finance, and graph theory. Instructors will also choose at least one of the following topics to cover: geometry, logic and set theory, or statistics.

**Pre-requisite:** Approved reading placement score or equivalent, and MATH 098 or MATH 099 or completion of high school Algebra 2 or high school transitional math, any with a grade of "C" or better, or concurrent enrollment in MATH 080, or appropriate placement score

### GENERAL EDUCATION STATISTICS

**3 Credit Hours** (TC)

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.

**Pre-requisite:** (1.) Approved reading placement score, or equivalent, and (2.) MATH 098 or completion of high school Algebra 2 with a grade of "C" or better or MATH 099 with a grade of "C" or better or appropriate placement score or department approval

### COLLEGE ALGEBRA

**4 Credit Hours** (TC)

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.

**Pre-requisite:** MATH 098 with a grade of "C" or better or an appropriate score on the math placement test

### COLLEGE TRIGONOMETRY

**3 Credit Hours** (TC)

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.

**Pre-requisite:** MATH 095 and MATH 098 with a grade of "C" or better or equivalent

### DISCRETE MATHEMATICS I

**3 Credit Hours** (TC)

Introduction to the mathematical foundations of discrete structures including the study of sets, relations and functions, counting and probability, recursion, graph theory, trees, logic and proof, Boolean algebra and logic gates, and finite state machines. Connections will be made between the mathematical theory and corresponding computer science applications.

**Pre-requisite:** Approved reading placement score, or equivalent, and MATH 115 with a grade of "C" or better or equivalent or department approval

### TECHNICAL ALGEBRA AND TRIGONOMETRY

**5 Credit Hours** (OC)

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.

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

### FINITE MATH

**4 Credit Hours** (TC)

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.

**Pre-requisite:** Approved reading placement score, or equivalent, and MATH 115 with a grade of "C" or better or equivalent

### CALCULUS FOR BUSINESS AND SOCIAL SCIENCES

**4 Credit Hours** (TC)

This course covers the basic ideas of calculus including limits; differentiation of polynomial, rational, logarithmic, and exponential functions; partial derivatives and applications; maxima and minima of functions; and techniques of integration including substitution and integration by parts. Application problems are chosen from the fields of business and social science.

**Pre-requisite:** Approved reading placement score, or equivalent, and MATH 115 or higher, with a grade of â€œCâ€ or better, or equivalent

### TECHNICAL CALCULUS

**3 Credit Hours** (OC)

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.

**Pre-requisite:** MATH 130 with a grade of "C" or better or equivalent

### PRECALCULUS

**5 Credit Hours** (TC)

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.

**Pre-requisite:** MATH 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

### MATHEMATICAL REASONING FOR THE ELEMENTARY TEACHER I

**3 Credit Hours** (TC)

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 place value, whole numbers, decimals, fractions, ratios, and proportions. Note: Successful completion of MATH 115 or appropriate placement score is strongly recommended prior to enrollment in MATH 190 as it is a required prerequisite for the MATH 201 Mathematics for the Elementary Teacher II course.

**Pre-requisite:** MATH 095 with a grade of "C" or better and MATH 098 with a grade of "C" or better or appropriate math placement test scores or department approval

### MATHEMATICS FOR ELEMENTARY TEACHERS I

**4 Credit Hours** (TC)

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 purpose of this course is to also increase the student's knowledge and understanding of the mathematical content which is taught in elementary schools. Mathematical reasoning and problem solving are consistent themes throughout the course. Note: MATH 115 is strongly recommended as it is a required prerequisite for the MATH 201 Mathematics for the Elementary Teacher II course.

**Pre-requisite:** Approved reading placement score, or equivalent. MATH 095 with a grade of "C" or better and MATH 098 with a grade of "C" or better or appropriate math placement test scores for both courses or department approval

### MATHEMATICS FOR ELEMENTARY TEACHERS II

**3 Credit Hours** (TC)

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.

**Pre-requisite:** Approved reading placement score, or equivalent, and MATH 115 with a grade of "C" or better or appropriate math placement test score, and MATH 190 or MATH 200 with a grade of "C" or better or department approval

### STATISTICAL ANALYSIS

**4 Credit Hours** (TC)

This course includes the study of frequency distribution, measures of central tendency, probability, statistical decision-making, testing hypothesis, analysis of variance, estimating and predicting.

**Pre-requisite:** Approved reading placement score, or equivalent, and MATH 095 and MATH 115 with a grade of "C" or better or equivalent

### CALCULUS AND ANALYTIC GEOMETRY I

**5 Credit Hours** (TC)

This is the first course of a three-semester sequence in Analytic Geometry and Calculus. The course includes the following: analytic geometry; limits and continuity; definition of derivative, rate of change, slope; derivatives of polynomial and rational functions; the chain rule; implicit differentiation; approximation by differentials; higher-order derivatives; Rolle's Theorem and mean value theorem; applications of the derivative; antiderivatives; the definite integral; the fundamental theorem of calculus; area, volume, other applications of the integral; the calculus of the trigonometric functions; logarithmic and exponential functions; indeterminate forms and L'HÃ´pital's rule.

**Pre-requisite:** Approved reading placement score, or equivalent; 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

### CALCULUS AND ANALYTIC GEOMETRY II

**4 Credit Hours** (TC)

This course is a continuation of MATH 222 (Calculus and Analytic Geometry I) and includes the following: techniques of integration, including numerical methods, substitution, integration by parts, trigonometric substitution, and partial fractions; improper integrals; sequences and series, convergence tests, Taylor series; parametric equations; polar coordinates and equations; differential equations including separable and linear.

**Pre-requisite:** Approved reading placement score, or equivalent, and MATH 222 with a grade of "C" or better or equivalent

### CALCULUS AND ANALYTIC GEOMETRY III

**4 Credit Hours** (TC)

This course is a continuation of MATH 223 (Analytic Geometry and Calculus II) and includes the following: vectors in 2 and 3 dimensions, vector operations; lines and planes in space; surfaces, quadric surfaces; functions of more than one variable, partial derivatives and applications; Lagrange multipliers; the differential, directional derivatives, gradients; double and triple integrals, evaluation and applications; cylindrical and spherical coordinates; vector fields; line integrals; Greenâ€™s Theorem; curl and divergence; surface integrals; Stokesâ€™ Theorem.

**Pre-requisite:** Approved reading placement score, or equivalent, and MATH 223 with a grade of "C" or better or equivalent

### LINEAR ALGEBRA

**3 Credit Hours** (TC)

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

**Pre-requisite:** MATH 223 with a grade of "C" or better

### DIFFERENTIAL EQUATIONS

**3 Credit Hours** (TC)

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.

**Pre-requisite:** MATH 223 with a grade of "C" or better