400
A study of complex numbers, analytic functions, integration, power series and calculus of residues is presented.
3
Prerequisites
MATH 30000 or MATH 32500
This course focuses on binary operations, groups, subgroups, permutations, cyclic groups, cosets, and group homomorphisms.
3
Prerequisites
Grade of C- or higher in MATH 25000 and MATH 32500
A continuation of MATH 44000, this course studies rings, fields, Fermat’s Theorem, matrices ideals, ring homomorphisms polynomial rings, vector spaces and linear transformations.
3
Prerequisites
MATH 44000
This course provides a formal presentation of the real number system and Euclidean vector spaces (inner products, norms and distance functions), compactness and connectedness, continuity, differentiation, and integration.
3
Prerequisites
Grade of C- or higher in MATH 25000 and MATH 32500
A continuation of MATH 45000, this course studies uniform convergence, sequences and series of functions, differential and integral calculus for functions of several variables, the Implicit Function Theorem and the Inverse Function Theorem.
3
Prerequisites
MATH 45000
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.
Students work under faculty supervision on a research project in mathematics, statistics, or a related area chosen in consultation with the faculty member. This course may be repeated multiple times for credit.
1-6
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.
2
Prerequisites
MATH 31500, MATH 44000, or MATH 45000
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, Mathematics major, GPA of 3.00 or above and consent 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.