Mathematics

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Courses

MATH085G: Skills for College Math Plus

This course is for students who need a refresher in basic math concepts and skills as well as those who have never taken an algebra course. Topics covered are operations of whole numbers, operations with signed numbers; algebraic expressions; linear equations/inequalities; exponents; square roots; understanding and manipulating formulas; translating and solving word problems; interpreting/analyzing data and graphing simple linear equations. Offered every semester.

MATH106G: Statistics I: An Introduction to Statistical Reasoning

Recognizing that data and variability impact our daily decisions, Statistics I: An Introduction to Statistical Reasoning focuses on developing statistical literacy through an investigative process of problem-solving and decision-making. Students participate in the statistical process by formulating questions, analyzing data, and interpreting results, learning to become critical consumers of statistical information. The course introduces students to descriptive and inferential statistics. Topics include statistical distributions, linear regression and correlation, surveys and experiments, sampling distributions, probability, confidence intervals and hypothesis testing. A variety of statistical tools and software are used to explore concepts and deepen students’ conceptual understanding of the topics.

MATH145G: Quantitative Reasoning

Quantitative Reasoning course. This course focuses on quantitative thinking and methods with real- world applications. Some topics covered are algebraic expressions with applications, graphing and modeling linear, quadratic, polynomial, exponential and logarithmic equations, systems of linear equations and linear programming, simple and compound interest, annuities, probability and measures of central tendency of a data distribution. Students cannot receive credit for both MATH145G and MATH147G. (See catalog description for MATH147G).

MATH147G: Quantitative Reasoning Plus

Quantitative Reasoning course. This course satisfies an entry-level college mathematics requirement and acts as an alternative or replacement for MATH145G but with some added class time for review. Some careful attention is given as the course progresses to review high school algebra/arithmetic and is intended for students who do not quite place into MATH145G. Students cannot receive credit for both MATH145G and MATH147G.

MATH150G: College Algebra

This course prepares the student for higher-level mathematics. Some topics covered are factoring, rational exponents, solving linear and quadratic equations, rational expressions and functions, polynomial functions, composite and inverse functions, systems of linear and quadratic functions, logarithmic functions, and exponential functions. This course also prepares the student for higher-level mathematics. Graphing of trigonometric functions is in Pre-Calculus.

MATH152G: College Algebra Plus

This course prepares the student for higher-level mathematics and acts as an alternative or replacement for MATH150G but with some added class time for review. Some careful attention is given during the first few weeks to review high school intermediate algebra and is intended for students who do not quite place into MATH150G.

MATH170G: Discrete Mathematics

Discrete mathematics describes processes that consist of a sequence of individual steps and is based on the ideas underlying the science and technology of the computer age. The main themes of this course are: logic and proof: induction and recursion; discrete structures such as number sets, general sets, Boolean algebras, functions, relations, graphs, trees, regular expressions and finite-state automata; combinatorics and discrete probability; algorithms and their analysis; and applications and modeling.

MATH210G: Pre-Calculus

This course prepares the student for higher-level mathematics. Some topics covered are solving polynomial equations, rational expressions and functions, polynomial functions, composite and inverse functions, logarithmic functions, and exponential functions. This course also prepares the student for Calculus with trigonometric functions, their inverses and solving problems involving trigonometric identities. Some topics include right triangle trigonometry, Law of Sines, Law of Cosines and the geometry of vectors in the 2-D plane.

MATH215G: Finite Mathematics

This course begins with a review of linear equations, inequalities, and systems of equations emphasizing graphing methods. Topics include matrices, linear programming, sets, an introduction to probability, the mathematics of finance, and the simplex method. Applications include Input-Output analysis, Sensitivity Analysis and Markov Chains.

MATH230G: Calculus I

Calculus I is a first calculus course that is designed to explore functions, limits, continuity, derivatives; rules for differentiating algebraic, trigonometric, exponential and logarithmic functions; chain rule; implicit differentiation; related rate problems; max-min problems; curve sketching; integrals, areas and volumes.

MATH235G: Statistics for Engineers and Scientists

This course is Probability and Statistics intended to focus on exploratory data analysis inferential statistics, regression techniques and design of experiments with large data sets. Major topics include inference testing for population standard deviations, inferences for two population proportions, descriptive & inferential methods in regression and correlation, multiple regression analysis, ANOVA and Two-Way ANOVA. Use of statistical software is included.

MATH245G: Introduction to Linear Algebra

This course explores the linear systems of equations, matrix operations, determinants, linear dependency, vector spaces, linear transformations, eigenvalues and orthogonality. Construction of mathematical reasoning using induction and contradiction are integrated into the course curriculum.

MATH250G: Calculus II

This is a second course in calculus. Topics to be investigated include area, volume, arc length, surface area, pressure force; integration of trigonometric, exponential and logarithmic functions; differentiation and integration of inverse trigonometric and hyperbolic functions; methods of integration; improper integration; infinite series, Taylor and MacLaurin series; and polar coordinates.

MATH265G: Differential Equations

This first course in differential equations will include introductory theory, solutions methods and selected applications of ordinary differential equations. Topics include fundamental methods of solving ordinary first- and second- order differential equations, essentials of linear algebra, Laplace transforms, and series solutions.

MATH270G: Calculus of Several Variables

Extends the study of calculus to several variables. Topics include a study of vectors, vector algebra, and vector functions; partial differentiation; chain rule; extrema; transformations; gradient, moments of inertia, divergence, and curl; curves and surfaces; multiple, line, and surface integrals; Green's and Stoke's theorem. A graphing calculator will be required