B.S. in Mathematics Educational Goals
The Mathematics Major at Regent University has the following educational goals,
and corresponding learning outcomes, as follows:
- Mathematics majors will acquire a solid core of foundational knowledge of mathematics in its principal component fields, including calculus, real analysis, number theory, discrete mathematics, algebra, geometry, probability and statistics, and various applications thereof.
Learning Outcome: Students will demonstrate undergraduate-level skills in the major fields of mathematics, assessed via skills tests and discussions in the above fields.
- Mathematics majors will learn how to construct mathematical proofs.
Learning Outcome: Students will construct clearly written proofs using correct terminology, citing foundational theorems, and employing induction and contradiction, and demonstrate ability to determine the validity of proofs.
- Mathematics majors will be well grounded in analytical thinking and problem solving.
Learning Outcome: Students will demonstrate ability to collect useful information concerning mathematical problems and organize it systematically, make reasonable conjectures, develop fruitful approaches toward problem solutions, and reach logical conclusions.
- Mathematics majors will appreciate the power, beauty, and utility of mathematics.
Learning Outcome: Students will demonstrate understanding of mathematical relations in nature and in the world of society, and demonstrate the use of mathematical language to model physical and social systems.
- Mathematics majors will be able to communicate mathematical ideas orally and in writing.
Learning Outcome: Students will demonstrate, by oral and written presentation of mathematical topics, the skills of introducing principal concepts, using an organized structure and appropriate style, presenting relevant content, and employing correct symbols and terminology.
- Mathematics majors will be conversant with both theory and applications in various major fields of mathematics.
Learning Outcome: Students will demonstrate knowledge of both theory and applications in major fields of mathematics by distinguishing theory from applications, constructing non-trivial models in each type of situation, using appropriate methods of analysis in each type of situation, using basic numerical techniques to solve application problems, and applying standard methods of statistical analysis in evaluating applications.
- Mathematics majors will acquire the capability of using appropriate technology to assist in mathematical analysis and communication of results.
Learning Outcome: Students will demonstrate the use of appropriate technology in solving mathematical problems, and in communication of results.
- Mathematics majors will develop skills for working in groups organized for mathematical tasks.
Learning Outcome: Students will demonstrate ability to work effectively in team efforts aimed at solving mathematical problems, including the ability to interact and communicate with others of greater and less mathematical ability.