# Mathematics

## Course Descriptions

MATH 0901 – Percents & Proportions – 1 credit hour

Builds an understanding of the definition of percents and the use of proportion in problem solving. Grading: Credit/No Credit. Course rotation: All semesters.

MATH 0903 – Basic Mathematics – 3 credit hours

A prerequisite to Precollege Algebra and/or Topics in Mathematics for students who have not mastered middle school mathematics. Course content includes whole numbers and their operations, fractions and decimals, ratio and proportion, percentages, signed numbers, basic geometry, and data interpretation. Grading: Credit/No Credit. Course rotation: As needed.

MATH 0911 – Variables & Equations – 1 credit hour

Builds an understanding of equations as conditions and the use of variables to generalize. We will work extensively with identifying conditions that may be represented numerically and with solving linear equations. Grading: Credit/No Credit. Course rotation: All semesters.

MATH 0921 – Charts – 1 credit hour

Builds an understanding of reading and presenting graphical information. Grading: Credit/No Credit. Course rotation: All semesters.

MATH 0923 – Precollege Algebra – 3 credit hours

Introduces students to algebraic concepts necessary for MATH 1013. Topics include algebraic expressions, linear equations and inequalities, applications of linear equations and inequalities, exponents, and polynomials. Prerequisites: MATH 0901, MATH 0911, and MATH 0921 or placement. Course rotation: All semesters.

MATH 1003 – Topics in Mathematics – 3 credit hours

Introduces the nature and utility of contemporary mathematics. Topics include numeration contexts, problem solving, modeling with technology, Cartesian coordinate systems, time series data, and modeling with straight lines. Additional topics may include but are not limited to functions, direct proportionality, discrete dynamical systems, probability and statistics, and logic. Note: This course is a prerequisite for MATH 1013. Prerequisite: Placement. Course rotation: All semesters. General Education: Core – Inquiry & Analysis.

MATH 1013 – College Algebra – 3 credit hours

Familiarizes students with standard mathematics functions and other algebra content. Topics include linear, non-linear, inverse, polynomial, rational, exponential, and logarithmic functions; systems of linear equations, linear and quadratic inequalities. Additional topics may include but are not limited to conic sections, matrices, and determinants. Problem-solving techniques will be discussed with and without the use of technology. Prerequisite: MATH 0923 or placement. Course rotation: All semesters. General Education: Core – Inquiry & Analysis.

MATH 1124 – Precalculus – 4 credit hours

Explores algebraic, polynomial, exponential, logarithmic and trigonometric functions, and their inverses, graphs, matrices, vectors, conics, and applications. A graphic calculator is used. Note: This course is a prerequisite for MATH 2315 and MATH 2503. Prerequisite: MATH 1013 or placement. Course rotation: All semesters. General Education: Core – Inquiry & Analysis.

MATH 2003 – Intersections – 3 credit hours

Topics course with varying content. It will normally be team taught with a faculty member from a discipline other than mathematics. The course contains a large writing component. It may be repeated for credit as long as the topic is different from any for which the student has previously obtained credit. Prerequisite: MATH 1003 or MATH 1013 or instructor’s permission. Course rotation: As needed.

MATH 2011 – Graphing Calculators – 1 credit hour

Investigates how to use the many features of a graphing calculator to solve problems of a quantitative nature. Prerequisite: MATH 1003 or MATH 1013 or instructor’s permission. Course rotation: As needed.

MATH 2021 – Standardized Tests – 1 credit hour

This course will help students review for the quantitative portions of the various standardized tests used for entrance into graduate and professional schools. Prerequisite: MATH 1003 or MATH 1013 or instructor’s permission. Course rotation: As needed.

MATH 2031 – Trigonometry Review – 1 credit hour

Particularly aimed at helping students taking Calculus who may need some review of Trigonometry. Prerequisite: MATH 1003 or MATH 1013 or instructor’s permission. Course rotation: As needed.

MATH 2153 – Finite Mathematics – 3 credit hours

Selected topics in probability, matrices and matrix algebra, and linear programming. Prerequisite: MATH 1013 or equivalent. Course rotation: Fall.

MATH 2203 – Introduction to Statistics – 3 credit hours

Content includes descriptive statistics for one and two variables, elementary probability theory, random variables, discrete probability distributions, and continuous probability distributions with emphasis on the normal distribution. Prerequisite: MATH 1003 or MATH 1013 or instructor’s permission. Course rotation: All semesters.

MATH 2213 – Mathematics for Elementary Teachers I – 3 credit hours

For future teachers of grades P-9. Course emphasizes mathematical concepts and processes through solving problems. Content includes: concepts of decimals and fractions, number theory, real number system, and numeration systems and bases. Manipulatives, cooperative learning, reflective writing, and available technology will be utilized. Prerequisite: MATH 1003 or MATH 1013 or instructor’s permission. Course rotation: Fall.

MATH 2223 – Mathematics for Elementary Teachers II – 3 credit hours

For future teachers of grades P-9. Emphasizes mathematical concepts and processes through solving problems. Content includes probability, statistics, measurement (including metric and English), geometry (properties of shape, two and three dimensions, similarities, and transformations). Manipulates, cooperative learning, reflective writing, and available technology will be utilized. Prerequisite: MATH 2213. Course rotation: Spring.

MATH 2301 – Mathematics & Technology – 1 credit hour

An array of current technologies is utilized to solve mathematical problems at the level of calculus and below. Exposure to the appropriate use and limits of technology is the main objective. The course is conducted in a laboratory format and is intended for prospective math majors. Grading: Credit/No Credit. Prerequisite or Corequisite: MATH 2315. Course Rotation: Fall.

MATH 2303 – Calculus for Business & Social Sciences – 3 credit hours

Covers topics in elementary calculus and analytic geometry for students in business and social sciences. Note: Credit will be allowed for only one course of MATH 2315 or MATH 2303. Prerequisite: MATH 1013 or equivalent. Course rotation: Spring even years.

MATH 2315 – Analytic Geometry & Calculus I – 5 credit hours

An introduction to analytic geometry, functions, limits, and continuity, the derivative and applications, the differential, integration and applications. Prerequisite: MATH 1124 or equivalent. Course rotation: All semesters. General Education: Intermediate – Inquiry & Analysis; Intermediate – Application & Integration of Knowledge.

MATH 2325 – Analytic Geometry & Calculus II – 5 credit hours

Presents topics including techniques of integration, indeterminate forms and improper integrals, infinite series, analytic geometry, plane curves and polar coordinates. Prerequisite: MATH 2315. Course rotation: Spring. General Education: Intermediate – Inquiry & Analysis; Intermediate – Application & Integration of Knowledge.

MATH 2403 – Experimental Statistics – 3 credit hours

Emphasis is on modeling and inference. Basic concepts of probability are introduced and built upon in order to understand confidence intervals and hypothesis tests, including but not limited to t-tests, chi-square tests, and analysis of variance. Case studies will be used to explore design of experiments, data analysis, correlation, and regression. Spreadsheets and a statistical software package will be utilized. Prerequisite: MATH 1013 or equivalent. Course rotation: Spring. General Education: Intermediate – Application & Integration of Knowledge.

MATH 2503 – Discrete Mathematics – 3 credit hours

An introduction to the formal mathematical study of proof through topics that include Boolean algebra, set theory, combinatorics, relations, functions, and graph theory. Prerequisite: MATH 1124 or equivalent. Course rotation: Fall.

MATH 2713 – Introduction to Computational Science – 3 credit hours

Presents an introduction to the theory and application of computer programming. Basic control 195 structures and object-oriented constructs are explored. Also listed as CIS 2713 and PHYS 2713. Prerequisite: MATH 1013 unless waiver requirements are met. Course rotation: Spring.

MATH 3003 – Linear Algebra – 3 credit hours

Concepts and topics include systems of linear equations, vector spaces, linear transformations, matrices, and determinants. Prerequisite: MATH 2315. Course rotation: Spring. General Education: Intermediate – Communication.

MATH 3103 – Geometry for Middle Grades Teachers – 3 credit hours

For future teachers of grades 5-9. Exploration of geometrical ideas using constructions, manipulatives, technology, and a variety of other investigative techniques. This emphasis on investigation, designed to set the stage for the discovery of key geometrical relationships, is central. Course content includes a panoramic view of geometry, basic ideas of geometry (Euclidean and non-Euclidean), discovering polygon relationships, tessellations, and motion geometry. Prerequisite: MATH 2223 or instructor’s permission. Course rotation: Varies.

MATH 3113 – Geometry – 3 credit hours

Concepts and topics explored in this class include constructions, the axiomatic method, Euclidean geometry, finite geometries, transformational geometry, and other non-Euclidean geometries. Prerequisite: MATH 2315. Course Rotation: Spring.

MATH 3121 – History’s Great Problems – 1 credit hour

A study of selected topics from the history and nature of mathematics from ancient to modern times, with an emphasis on important mathematical concepts and problems. Prerequisite: MATH 2503. Course rotation: Alternate spring.

MATH 3131 – History’s Great Mathematicians – 1 credit hour

A study of selected topics from the history and nature of mathematics from ancient to modern times, with an emphasis on the biographies and mathematical interests of prominent mathematicians. Prerequisite: MATH 2503. Course rotation: Alternate spring.

MATH 3151 – Mathematics Education I – 1 credit hour

Historical and current perspectives of mathematics education; an introduction to mathematics education organizations and their resources; and exposure to technologies used in mathematics. Prerequisites: MATH 2315 and EDUC 2123. Course rotation: Alternate fall.

MATH 3161 – Mathematics Education II – 1 credit hour

An introduction to place-based mathematics, ethno mathematics, and the integration of mathematics and social justice issues; and an emphasis on demonstrative mathematics in the school mathematics curriculum. Prerequisites: MATH 2315 and EDUC 2123. Course rotation: Alternate fall.

MATH 3203 – Probability & Statistics – 3 credit hours

Concepts and topics explored in this class include a review of elementary properties of probabilities events, statistical densities and distributions, properties of random variables, expected values, law of large numbers, and sampling. Emphasis is on use of integrated statistical packages (or graphic calculator) to complement the statistical methodology. Corequisite: MATH 3314. Course rotation: Fall. General Education: Mastery – Inquiry & Analysis.

MATH 3314 – Calculus III – 4 credit hours

Concepts and topics explored include multivariable functions, partial derivatives, multiple integrals, and vector analysis. Prerequisite: MATH 2325. Course rotation: Fall. General Education: Intermediate – Inquiry & Analysis; Intermediate – Application & Integration of Knowledge.

MATH 3323 – Differential Equations – 3 credit hours

Concepts and topics explored in this class include first and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations. Prerequisite: MATH 2325. Course rotation: Spring. General Education: Mastery – Application & Integration of Knowledge.

MATH 4003 – History of Mathematics – 3 credit hours

Selected topics from the history and nature of mathematics from ancient to modern times, with an emphasis on the historical development of mathematics through a study of biographies of prominent mathematicians and the evolution of important mathematical concepts. The fundamental role of mathematics in the rise, maintenance, and extension of modern civilization will also be considered. Prerequisites: MATH 2325 and MATH 3113. Course rotation: Varies.

MATH 4113 – Abstract Algebra – 3 credit hours

A theoretical development of topics in modern algebra including groups, rings, and fields. Prerequisites: MATH 2503 and MATH 3003. Course rotation: Fall. General Education: Mastery – Communication.

MATH 4123 – Topology – 3 credit hours

Introduction to the basic concepts of topology, including sets, topological spaces, connectedness, compactness, and separation axioms. Prerequisite: MATH 3314. Course rotation: Varies.

MATH 4203 – Number Theory – 3 credit hours

Concepts and topics explored include first order axioms, factorization properties, theory of remainders, perfect numbers, Diophantine problems, and quadratic residues. Prerequisite: MATH 3003. Course rotation: Varies.

MATH 4303 – Engineering Mathematics – 3 credit hours

Topics that appear in the study of the physical sciences and in engineering. Topics can vary but will include Green’s theorem, Stokes’ theorem, and the divergence theorem; complex variables; partial differential equations; and numerical methods. Particular emphasis is placed on the integration of technology into the mathematical process. Also listed as PHYS 4303. Prerequisite: MATH 2315. Course rotation: Alternate spring. General Education: Mastery – Application & Integration of Knowledge.

MATH 4403 – Mathematical Modeling – 3 credit hours

Introduces the application and modeling processes of mathematics. Emphasizes continuous models to include deterministic and stochastic models. The use of computer packages and algorithms will be incorporated into the solution process. An individual project is required. Prerequisite: MATH 3314 or MATH 3323. Course rotation: Varies. General Education: Mastery – Application & Integration of Knowledge.

MATH 4413 – Foundations of Analysis – 3 credit hours

A theoretical development of topics in real analysis including sequences, limits, continuity, differentiability, Riemann integration, and infinite series. Prerequisite: MATH 3314. Course rotation: Varies. General Education: Mastery – Communication.

MATH 4513 – Advanced Calculus – 3 credit hours

Concepts and topics explored in this course include the real and complex number systems, basic set theory and topology, sequences and series, continuity, differentiation, and Taylor’s theorem. Emphasis is on careful mathematical reasoning. Prerequisite: MATH 3314. Course rotation: Varies.