Mathematics Course Descriptions

MAT-designated courses (with the exception of MAT101 and MAT102) qualify as Liberal Arts or Mathematics electives.

**MAT101 **

**Elementary Algebra - 3 Credits **

This course develops the fundamental processes of algebraic thinking and provides students with the skills for further study in higher level algebra based courses. Topics include a study of the real number system, solving and graphing linear equations and inequalities in one and two variables, exponents, scientific notation, operations on polynomials, ratios, proportions, and basic factoring in a problem solving context. Course requires subscription to a supplementary online program. Graphing calculator will be provided for occasional use in class.

*Prerequisite: Department recommendation. *

**MAT102 **

**Intermediate Algebra - 3 Credits **

This course builds upon algebraic skills learned in MAT101 or a similar experience and provides students with additional skills needed for further study in higher level algebra based courses. Topics include further development of the study of linear functions, solving absolute value equations and inequalities, solving linear systems for break-even analysis, working with polynomial functions, and further development of factoring skills, applications of quadratic functions, and simplifying rational and radical expressions. Course requires subscription to a supplementary online program.

*Prerequisite: Department recommendation.*

**MAT105**

**Quantitative Methods - 3 Credits **

This course surveys topics in elementary algebra, personal finance, probability, and statistics. Topics include solving algebraic equations, solving ratio and proportion problems, applications involving percentage and interest, applying the definition of probability, measures of central tendency, descriptive statistics, frequency distributions, graphical representation of data, and applications of the normal distribution. Topics focus on real-life situations, decision making skills, and problem solving. Some working knowledge of elementary algebra is expected. Course requires subscription to a supplementary online program. Scientific or graphing calculator strongly recommended.

**MAT115 **

**Contemporary Mathematics - 3 Credits **

A survey of mathematics topics all students need to meet with success in today’s society. Topics include a study of number systems, essential algebraic & geometric principles, sets and logic, counting principles, statistics, graphing, and data analysis. Optional topics may include networks, money, and voting principles. Course requires subscription to a supplementary online program. Scientific calculator recommended. Course is designed to prepare students for success on standard workplace competency assessments.

**MAT118**

**Geometric Applications - 3 Credits **

Not your High School Geometry Class!! Geometric Applications is designed to address geometry topics as they apply to numerous cross-curricular programs, such as art, architecture, landscape design, computer programming/gaming, common core instruction, and science. Students will be participating in portfolio quality projects encompassing the critical concepts learned in previous studies of geometry. Final projects will be of the student’s choice and may be related to their major. Students planning to teach geometric topics at any level will gain hands-on experience in a holistic approach to incorporating projects into a curriculum. Optional field trips may be offered at an additional fee.

**MAT120 **

**College Algebra - 3 Credits **

This course provides a deeper understanding of the concepts of algebra including function applications, inequalities in two variables, matrix operations, linear programming, quadratic and polynomial applications, and solving rational and radical equations. Course requires subscription to a supplementary online program.

*Prerequisite: Successful completion of two years of High School Algebra or the equivalent.*

**MAT130 **

**Pre-Calculus and Trigonometry - 3 Credits **

This course is a study of functions deeply embedded with real-life activities. Topics include an overview of algebraic, exponential, logarithmic, rational, radical, and trigonometric functions as they are applied to daily life experiences. Course requires subscription to a supplementary online program. Graphing calculator required.

*Prerequisite: MAT120, successful completion of High School Pre-Calculus or the equivalent, or Department recommendation.*

**MAT171**

**Calculus I - 3 Credits **

This course introduces differential and integral calculus of one variable. Topics include analytic geometry, functions, limits, derivatives, applications of derivatives, and anti-derivatives. Course requires subscription to a supplementary online program. Graphing calculator required.

*Prerequisite: MAT130 or successful completion of a High School equivalent.*

**MAT172**

**Calculus II - 3 Credits **

This course is a continuation of MAT171. Topics include the definite integral, the Fundamental Theorem of Calculus, exponential and logarithmic functions, techniques of integration, and applications. Course requires subscription to a supplementary online program. Graphing calculator required.

*Prerequisite: MAT171.*

**MAT220 **

**Statistics - 3 Credits **

This course offers students an opportunity to experience statistics as it would occur in various settings. Topics are presented through real life case studies and include an overview of the fundamentals of statistics, collective and descriptive statistical techniques, data collection and sampling, the normal distribution and probability, hypothesis testing, population inferences, simple linear regression, and correlation. An understanding of basic algebra is required. Course requires subscription to a supplementary online program. Scientific or graphing calculator and access to a spreadsheet program is recommended.

**MAT223 **

**Statistics II - 3 credits **

This course is a continuation of introductory statistics with applications. Topics covered include inferences involving two populations, analysis of variance, linear regression analysis, multiple regression, forecasting, time series analysis, and elements of nonparametric statistics. Course requires subscription to a supplementary online program. Scientific or graphing calculator and access to a spreadsheet program is recommended.

*Prerequisite: MAT 220.*

**MAT230 **

**Quantitative Analysis - 3 Credits **

This course introduces mathematical techniques used in business, economics, and social sciences. Topics include mathematics of finance, systems of linear equations and inequalities, Gaussian elimination method, linear programming, Simplex method, and probability. These techniques are applied to the optimization of profit and cost functions that arise in production and transportation problems. Course requires subscription to a supplementary online program.

*Prerequisite: MAT120 or MAT130.*

**MAT261 **

**Discrete Mathematics - 3 Credits **

This course introduces students to writing rigorous proofs in the context of discrete structures. Topics covered include propositional and predicate logic, set theory, elementary proof techniques, relations, functions on sets, induction, elementary number theory (integers and their properties), combinatorics (permutations, counting principles), and basic discrete probability.

*Prerequisite: MAT171.*

**MAT271 **

**Calculus III - 3 Credits **

This is the third course in a two-year (four-course) calculus sequence. This course begins with analysis of sequences and series, familiarizing students with series convergence tests and leading to Taylor’s theorem. The rest of the course is focused on differential calculus in two or more variables, including vectors and vector algebra, analytic geometry in space, functions of several variables, partial differentiation, vector functions, solving constrained optimization problems, and the technique of Lagrange multipliers.

*Prerequisite: MAT172.*

**MAT272 **

**Calculus IV - 3 Credits **

This is the last course in a two-year (four-course) calculus sequence. This course is focused on integral calculus in two or more variables, including multiple integration (double integrals, iterated integrals, triple integrals), non-Cartesian coordinate systems (polar coordinates in 2D, cylindrical and spherical coordinates in 3D), line integrals, Green’s theorem, and integral vector calculus (divergence and curl, Stokes’ theorem, and Divergence theorem).

*Prerequisite: MAT271.*