Mathematics

This course strengthens understanding of College Algebra fundamentals and serves as preparation for higher-level mathematics courses. Topics include the real number system, absolute value, field properties of the rational and real numbers, exponents, manipulating and evaluating algebraic expressions, factoring polynomials, linear equations and inequalities in one variable, quadratic equations, rational and radical equations reducible to linear or quadratic ones, Cartesian coordinate system, linear equations in two variables, straight lines, relations and functions, linear and quadratic functions, graphs of power, absolute value, and greatest integer functions, variation, systems of linear equations, systems of linear inequalities, linear programming, and regression analysis. Prerequisite: University placement.

This course is designed to show the student the application of mathematical modeling in their life. Practice is provided in manipulative skills, and a number of applications of these skills are presented. Topics include loans and investments, linear models and systems, functions, relations, exponential functions, power functions, logarithmic functions, quadratic functions, polynomial functions, matrices and systems of linear equations. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above.

This course is an introduction to elementary descriptive and inferential statistics. Topics include frequency distributions, measures of central tendency and variation, elementary probability theory, binomial and normal distributions, hypothesis testing, test on two means, sample estimation of parameters, confidence intervals, coefficient of correlation and linear regression. Prerequisite: University placement, or grade of C or better in any MAT course numbered 100 or above.

This course is designed as a preparation for calculus. Topics include polynomial, rational, exponential, and logarithmic functions, nonlinear equations and inequalities, circular and trigonometric functions, the trigonometry of right and oblique triangles, applications of trigonometry, trigonometric identities, trigonometric equations, plane vectors, trigonometric form of a complex number, parametric equations, systems of equations, systems of inequalities, and regression analysis. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above.

This class is used to encourage and lead students to: 1. Explore options available to them in mathematics and associated fields 2. Attend and present research at Mathematics and related conferences 3. Build a network of professional contacts 4. Build confidence in their skills as writers and researchers in the field of mathematics 5. Build a comprehensive resume and e-portfolio Each semester students will present at either or both the Convocation of Scholars at Reinhardt University and other state and national mathematics conferences. Students will take in the series Math 150, 250, 350

This course, which explores a topic of contemporary interest to the study of mathematics, is offered as needed. Prerequisite: Permission of instructor.

The Concepts and Connections courses will focus on understanding the underlying principles of mathematics and appreciation for the interconnectedness of mathematical ideas. Course I will emphasize algebra, probability and data analysis. The fundamental algebra concepts of variables, functions and equations will be explored through a variety of representations with an emphasis on modeling. The study of probability will be approached as an attempt to provide predictability in random events and will make extensive use of the algebraic and graphic representations developed previously. Finally, the ideas of algebra and probability will be employed to analyze data and draw conclusions from it. The Concepts and Connections courses are appropriate for liberal arts students, prospective elementary or middle school education students and business or social science students. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above.

The Concepts and Connections courses will focus on understanding the underlying principles of mathematics and appreciation for the interconnectedness of mathematical ideas. Course II will emphasize geometry and number sense. It will begin with the basic elements of geometry (points, lines, planes, angles). A brief discussion of the nature and value of logic and proof will prepare students to make and prove conjectures throughout the course. Students will investigate properties of figures in two and three dimensions, using synthetic and coordinate representations and using transformations. The course will conclude with exploration of characteristics and patterns of numbers. The Concepts and Connections courses are appropriate for liberal arts students, prospective elementary or middle school education students and business or social science students. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above.

This course introduces students to the basics of logically analyzing the steps needed to accomplish a task using a computer. Students learn how to build an algorithm and the fundamentals of the C++ programming language. As application of the skills developed in this course, other programming languages like the html and the maple languages will be studied. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above.

This course extends the knowledge of geometry covered in the usual high school geometry course. Topics include Euclidean geometry, axiomatic systems, special points of a triangle, circles, analytic geometry, constructions, transformation geometry, and non-Euclidean geometry. Prerequisite: University placement or C or better in any MAT course numbered 100 or above.

This course is an introduction to both differential and integral calculus. Topics include limits; continuity; differentiation of algebraic and trigonometric functions; derivatives; product and quotient rules; chain rule; implicit differentiation; related rates; maxima and minima; concavity; antiderivatives; the definite integral; numerical integration; the natural logarithm and inverse trigonometric functions. Prerequisite: Prerequisite: University placement, or grade of P, or C or better in MAT 121.

This Statistics for Data Science with Python course introduces the mathematical techniques of statistical methods, which apply to analyzing data and to solving a variety of data science problems. Topics include data gathering, organizing data using descriptive statistics, visualizing data, finding relationships between variables, probability distributions, expected values, hypothesis testging, introduction to ANOVA (analysis of variance), regression and correlation analysis using Python and Jupyter Notebooks. This course is required to complete a culminating project to apply various statistical tools in the course to real-world data science problems and to demonstrate an understanding of statistical procedures of data analysis. Prerequisites: grade of C or better in MAT 103 and in MAT 215

This course introduces to students the foundations of logic, set theory and mathematical symbols, and the axiomatic construction of numerable number systems using Peano’s Postulates and equivalence relations. The course serves as a bridge from the procedural and computational understanding of mathematics to a broad understanding encompassing logical reasoning, generalization, abstraction, axiomatic approach, and symbolical representations needed to produce formal proofs in other upper-level Mathematics courses. Topics include propositional logic, predicates and quantifiers, rules of inference, basic proof methods, naïve set theory, equivalence relations, functions, cardinality of sets, Peano’s postulates, mathematical induction, numerable number systems, and modular arithmetic. Prerequisite: University Placement, or a grade of C or better in MAT 102, MAT 121, or MAT 221.

This class is used to encourage and lead students to: 1. Explore options available to them in mathematics and associated fields 2. Attend and present research at Mathematics and related conferences 3. Build a network of professional contacts 4. Build confidence in their skills as writers and researchers in the field of mathematics 5. Build a comprehensive resume and e-portfolio Each semester students will present at either or both the Convocation of Scholars at Reinhardt University and other state and national mathematics conferences. Students will take in the series Math 150, 250, 350. Prerequisite: MAT 150.

This course, which explores a topic of contemporary interest to the study of mathematics, is offered as needed. Prerequisite: Permission of instructor

This course, which involves supervised research on a selected topic, is offered as needed to students with sophomore standing. Prerequisite: Permission of instructor

This course extends the knowledge of geometry covered in the usual high school geometry course. Topics include Euclidean geometry, axiomatic systems, special points of a triangle, circles, analytic geometry, constructions, transformation geometry and non-Euclidean geometry. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above.

This course begins with a brief introduction to number theory, followed by examination of fundamental algebraic structures (groups, rings, and fields) and exploration of how these structures relate to the algebra studied at the pre-college level. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above

Topics in this course include systems of linear equations, matrices, determinants, vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors. Prerequisite: University placement, or grade of P, or C or better in any MAT course numbered 100 or above.

This course continues the development in Calculus I. Topics include first order differential equations; area between two curves; volume; arc length; center of mass; fluid pressure; integration by parts; trigonometric substitution; partial fractions; L’Hopital’s rule; improper integrals; infinite series including convergence tests; power series; parametric equations and polar coordinates. Prerequisite: University placement, or grade of P, or C or better in MAT 221.

This course focuses on the creation and application of mathematical models involving discrete quantities. Topics include combinatorics, mathematical induction, matrices and coding, and graph theory. Prerequisite: Grade of P, or C or better in at least two MAT courses numbered 100 or above.

This class is used to encourage and lead students to: 1. Explore options available to them in mathematics and associated fields 2. Attend and present research at Mathematics and related conferences 3. Build a network of professional contacts 4. Build confidence in their skills as writers and researchers in the field of mathematics 5. Build a comprehensive resume and e-portfolio Each semester students will present at either or both the Convocation of Scholars at Reinhardt University and other state and national mathematics conferences. Students will take in the series Math 150, 250, 350. Prerequisite: MAT 250.

This course begins with an exploration of mathematical logic and proof, in order to prepare the student for an in-depth investigation of functions of real numbers. Topics include sequences and series, continuity, limits, differentiation, and integration. The course will focus on logical foundations and relationships rather than on application. Prerequisite: Junior Status and grade of C or better in MAT 221

This course is concerned with the solution and applications of first and second order ordinary differential equations. Most of the course involves the use of analytical methods, although a brief exploration of numerical methods is included. Prerequisite: Grade of C or better in MAT 321

course in multivariable calculus. Topics include vectors; lines and planes in space; cylindrical and spherical coordinates; vector-valued functions; velocity and acceleration; curvature; functions of several variables; partial derivatives; directional derivatives and gradients; tangent planes and normal lines; extrema; Lagrange multipliers; double integrals; triple integrals; vector fields and Green’s theorem. Prerequisite: Grade of C or better in MAT 321

This course is an introduction to machine learning, data-mining, and statistical pattern recognition. Topics include supervised learning, unsupervised learning, and practices in machine learning. In this course you will learn theoretical foundations of learning and how to apply learning algorithms to implementing smart automation, text understanding, understanding from digital images or videos, medical informatics, database mining, and more, while gaining prractice implementing them and having them to work for human beings. Prerequisite: grade of C or better iin MAT 223, MAT 320, and MAT 421

An introduction to methods of finding or approximating numerical solutions to problems, especially those for which analytical solutions do not exist or are not readily obtainable. Topics include solving nonlinear equations, solving systems of linear equations, polynomial interpolation, numerical integration, and solving differential equations. The course will include the solution of applied problems using mathematics software. Prerequisite: Grade of C or better in MAT 215 and MAT 321

The Senior Seminar in Mathematics is a capstone course for mathematics majors and secondary mathematics education majors. It may also be open to mathematics minors with permission of the instructor. The course integrates topics from a variety of areas of mathematics, emphasizing problem solving and effective presentation of mathematical reasoning and application. Prerequisites: Senior status, and grade of C or better in MAT 321 and in any other MAT course 300-level or above.

This course, students are given the opportunity to use skills and insights gained in the classroom in actual work environments under the supervision of professionals, in order to get practical work experience for careers in a variety of fields, such as operations research, finance, statistics, computer science, biotechnology, actuarial science, and mathematical modeling. A professional supervisor will provide official documentation of internship as required by Reinhardt University, while regularly communicating reports to the supervising faculty member. The course level depends on the skills used, while each academic credit hour requires at least 50 hours of work experience. Prerequisite: Availability of placement approved by instructor.

This course, which explores a topic of contemporary interest to the study of mathematics, is offered as needed. Prerequisite: Permission of instructor

This course, which involves supervised research on a selected topic, is offered as needed to students with junior-senior standing. Prerequisite: Permission of instructor