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Course Criteria
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3.00 Credits
This is a "capstone" course that will cover various topics from the undergraduate mathematics curriculum. Each student will have a substantial term project and will write a paper and make an oral presentation to departmental faculty about that topic. This course satisfies the ROTC-fulfillment requirement.
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3.00 Credits
A research project with a required formal paper. Recommended for students planning graduate work. Approval for enrollment based on the acceptance of a written proposal by the instructor and approval of the department head. This course can be approved as a departmental elective for a student if the following criteria are satisfied: (1) the student has a MATH GPA of at least 3.0, (2) the proposed research project is a continuation of a project conducted during the previous semester(s) with at least one oral or poster presentation given at the Citadel Student Excellence Day or a regional conference during the previous semester(s) or submitting at least one journal paper to a known journal in a STEM field, and (3) the additional research results will be presented at the Citadel Student Excellence Day, at a regional conference, or a known journal in a STEM field during the semester. This course satisfies the ROTC-fulfillment requirement.
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3.00 Credits
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.
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3.00 Credits
A reexamination of elementary geometry from an advanced standpoint. Metric and synthetic approaches to plane and solid geometry, topics in non-Euclidean geometry
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3.00 Credits
A linear algebra course which 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.
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3.00 Credits
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.
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3.00 Credits
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.
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3.00 Credits
Discrete mathematical topics are introduced and used in various applications. Included are counting techniques, combinatorics, graphs, theory, and recurrence relations.
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3.00 Credits
Special topics in mathematics which are not covered in other courses. This course may be repeated for additional credit, as the topic change.
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1.00 Credits
The engineering design process is demonstrated through use of practical problemsolving methods for mechanical projects. Course subjects include mechanical engineering career paths, ethical canons of the engineering profession, and requirements for professional licensure. Course assignments, conducted within a collaborative learning environment, focus on creative engineering solutions through technical analysis, teamwork, communication skills, and professionalism. As a foundation for sustained success in mechanical engineering, additional course topics include: lifelong learning, time management, community and professional service, and career development.
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