The Military College of South Carolina
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Graduate Mathematics Course Descriptions

MATH 511 Number Theory Three Credit Hours
The Euclidean algorithm; prime and composite integers, elementary Diophantine equations, Pythagorean triples, Euler's phi-function, congruences, Euler-Fermat theorems, exponents and primitive roots, quadratic residues.

MATH 512 History of Mathematics Three Credit Hours
A survey of the development of mathematics from the time of the ancients to the present, analysis of causes for the retardation of the advancement of mathematics in different centuries, contributions by under represented cultures and selected reading to show the contributions of mathematics to the development of science.

MATH 514 Methods for Middle/Secondary Mathematics Three Credit Hours
Various methodologies for teaching middle and secondary mathematics will be introduced and used in the course. The emphasis will be on using techniques and ideas suggested in the NCTM standards and South Carolina Frameworks. Ideas on how to supplement textbook material and how to motivate students will be presented. Students in the course will have the opportunity to practice the techniques presented.  Note: All undergraduate mathematics prerequisites must be completed before taking this course.

MATH 518 Technology in Mathematics Classrooms Three Credit Hours
This course will introduce new technological developments and explore ways to use calculators, computers, etc. in the teaching of mathematics. 
Note: May be substituted for MATH 618.

MATH 521 Modern Geometry Three Credit Hours
A reexamination of elementary geometry from an advanced standpoint. Metric and synthetic approaches to plane and solid geometry, topics in non-Euclidean geometry.

MATH 530 Linear Algebra Three Credit Hours
A linear algebra course that emphasizes the geometry of vectors in two-and three dimensions. Topics include linear transformations, bases, orthogonality, matrix algebra, and applications in the real world as well as applications in mathematics.

MATH 532 Modern Algebra Three Credit Hours
An introduction to the terminology, concepts, and methods of modern Abstract Algebra. Topics discussed include groups, rings, integral domains, fields, and isomorphism. Examples drawn from familiar number systems are used to illustrate elementary properties of the systems discussed.

MATH 542 Probability and Statistics Three Credit Hours
Topics will include probability, random variables, important probability distributions, sampling distributions, point and interval estimation, hypothesis testing, regression, correlation, and analysis of variance. Emphasis will be given to applications in the fields of biology, business, agriculture, political science, and education.

MATH 545 Applications of Discrete Mathematics Three Credit Hours
Discrete mathematical topics are introduced and used in various applications. Included are counting techniques, combinatorics, graph theory, and recurrence relations.

MATH 550 Mathematical Modeling Three Credit Hours
The course is designed to strengthen the content knowledge needed to use mathematical modeling as an effective tool in problem solving. Topics include models which require use of some or all of the following: difference equations, curve fitting, graphing, spreadsheets, geometry, matrices, calculus, maximization and minimization, and simulation using random numbers.

MATH 553 Calculus from an Advanced Standpoint Three Credit Hours
This course is designed to prepare teachers who may teach the Advanced Placement course in calculus. Emphasis will be on understanding background and concepts involved in the development of calculus. The use of graphing calculators and other technology will be demonstrated and practiced.

MATH 570 Selected Topics Three Credit Hours
Special topics which are not covered in other courses. This course may be repeated for additional credit, as the topic changes.

MATH 618 Mathematical Technology Resources for STEM Education Three Credit Hours
This course is applicable to multiple middle and high school academic disciplines: mathematics, science, technology, and middle/high school engineering such as Project Lead the Way. This course is 100% online in an asynchronous format; modules may be completed anytime within the week assigned.  The course content will introduce students to open-source (free) mathematical software packages and tools.  Students will learn how to use these mathematical software packages and tools for mathematical modeling, classroom presentation and demonstration, illustration and exploration of mathematical concepts, and hands-on projects for teaching mathematics.  The class will collaborate on a wiki.  The prerequisite for this course will be successful completion of undergraduate class in College Algebra and Trigonometry.
Note: May be substitued for MATH 518.

CSCI 563 Programming for Teachers/663(online) Programming for STEM Educators Three Credit Hours
This course introduces programming and problem-solving using Visual Basic.  Students will learn Visual Basic syntax, and basics of event-driven programming while working with variables, constants, data types, and expressions.  Problem solving and decision-making are integrated as students also explore looping and multiple forms, using menus, common dialogs, procedures, functions and arrays, debugging, creating executable files, and distributing a Windows application.  Concepts and methods of object-oriented programming and design, creating applications using a development cycle approach, and disciplined coding style are included.  In addition, students will also learn about data organization and collection, file organization, sort and search techniques, database construction, and manipulating data created in Microsoft Access using Visual Baisc.

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