400
This course studies sets and their properties, set operations, cardinality, ordered sets, well ordering, finite and infinite sets, and the axiom of choice. Also studied are formal deductive systems especially propositional and predicate logic, properties of deductive systems such as consistency and completeness, and Boolean algebra.
3
Prerequisites
13-325.
This course studies the process of creating models for real world applications from a wide variety of areas such as physics, chemistry, biology, economics and social sciences. It introduces the students to the basics of mathematical modeling with a focus on model construction, fitting and optimization, analysis, evaluation, and application. This course will make use of computer software in developing models.
3
Prerequisites
13-201.
A study of complex numbers, analytic functions, integration, power series and calculus of residues is presented.
3
Prerequisites
13-325.
This course focuses on binary operations, groups, subgroups, permutations, cyclic groups, cosets and group homomorphisms.
3
Prerequisites
13-250 and
13-325.
A continuation of 13-440, this course studies rings, fields, Fermat’s Theorem, matrices ideals, ring homomorphisms polynomial rings, vector spaces and linear transformations.
3
Prerequisites
13-440.
This course provides opportunities for the presentation and discussion of a variety of concepts, principles, literature, and other topics important to the discipline.
1
Prerequisites
In some cases, students will be required to obtain the permission of the instructor or chair.
This course fulfills the advanced writing requirement for the mathematics major. In this course the student will study a topic related to the algebra, analysis, or statistics sequence required by the mathematics major. The student will complete a written report and an oral presentation based on his/her study.
1
Prerequisites
13-315 or
13-360 or
13-440.
Students can acquire practical related experience through placement in selected settings. Students submit an internship proposal in advance for approval, maintain a daily task log and submit a five-page written summary report at the conclusion of the internship. A minimum of 210 clock hours and an interview with the on-site supervisor are required.
3
Prerequisites
Junior or Senior status in Mathematics major, GPA of 3.00 or above, and approval of the department chairperson.
This course is designed to meet the needs of mathematics majors wishing to study an advanced topic not found in the curriculum.
1-4
Prerequisites
Consent of department chairperson. To qualify for an Independent Study, a student must have successfully completed 60 credit hours, at least 12 of which were earned at Lewis, and have earned at Lewis University a minimum 3.0 cumulative GPA.