Courses
Search for courses listed in this bulletin. To find a semester course schedule (including instructors, meeting times and locations), go to mynmu.nmu.edu.
- Graded: A/F
- Prerequisites: Graduate student in mathematics or instructor permission.
This is an advanced course in analysis. Depending on the instructor’s interest and expertise, this course will focus on one of three topics central to advanced analysis: functional analysis, numerical analysis, or nonsmooth analysis.
- Graded: A/F
- Prerequisites: Graduate student in mathematics or instructor permission.
This is an advanced course in the foundations of mathematics. Depending on the instructor’s interest and expertise, this course will focus on one of three topics central to the foundations of mathematics: formal logic, type theory, or category theory.
- Graded: A/F
- Prerequisites: Graduate student in mathematics or instructor permission.
This is a graduate level course in mathematical finance. The instructor will cover the following topics: forwards, swaps and options, replication, risk-neutrality, Martingales, options and derivatives pricing, continuous-time stochastic processes, Brownian motion. This course contributes to a student’s readiness for professional actuarial exams such as CAS I/SOA P (Casualty Actuarial Science Examination #1/Society of Actuaries Probability Exam) and CAS II/SOA FM (Casualty Actuarial Science Examination #2/Society of Actuaries Financial Mathematics Exam).
- Graded: A/F
- Prerequisites: Graduate student in mathematics or instructor permission.
This is a graduate level course in probability. The instructor will cover the following topics: probability spaces, probability distributions, stochastic independence, limiting operations, strong limit theorems for independent random variables, the Central Limit Theorem, martingales, continuous-time stochastic processes, Brownian motion, Bayesian methods. This course contributes to a student’s readiness for professional actuarial exams such as CAS I/SOA P (Casualty Actuarial Science Examination #1/Society of Actuaries Probability Exam) and CAS II/SOA FM (Casualty Actuarial Science Examination #2/Society of Actuaries Financial Mathematics Exam).
- Graded: S/U
- Prerequisites: Graduate student in mathematics or instructor permission.
Independent study and preparation for examinations equivalent to professional actuarial society examinations will be pursued by qualified students under the supervision of a faculty member of the Mathematics and Computer Science department. Supervisor must be selected prior to enrollment in this course.
- Graded: S/U
- Prerequisites: Graduate student in mathematics or instructor permission.
Independent research or study in mathematics is pursued by qualified students under the supervision of a faculty member of the Mathematics and Computer Science department. Supervisor and research problem must be selected prior to enrollment in this course.
This course will be used to meet the specific needs of teachers in Upper Peninsula school systems.
- Graded: S/U
- Prerequisites: MA 580 or MA 589 or instructor permission
For capstone option 2 - Project: A continuation of MA 589. At the conclusion of the course, a written project must be submitted; subject to the approval of the student’s graduate committee.
For capstone option 3 - Actuarial Project: A continuation of MA 580. At the conclusion of the course, the verified passing of two internal or external professional actuarial exams not already passed; subject to the approval of the student’s graduate committee.
The student should consult the Mathematics and Computer Science department and the College of Graduate Studies and Research for specific requirements.
- Graded: S/U
- Graded: S/U
- Prerequisites: MA 589 or instructor permission
A continuation of MA 589. At the conclusion of the course, a written thesis acceptable to the student’s graduate committee and to the College of Graduate Studies and Research must be submitted. Additionally, the student must complete an acceptable oral defense of their thesis. The student should consult the Mathematics and Computer Science department and the College of Graduate Studies and Research for specific requirements.
- Graded: A/F
- Prerequisites: Graduate standing
Mathematical representation, patterns, reasoning, and proof. Intended audience K-12 teachers.
- Graded: A/F
- Prerequisites: MA 650
This course covers topics selected from logic, basic number theory, combinatorics, graph theory, and basic probability theory. The focus is on enumerative combinatorics and graph theory. Intended audience 9-12 teachers.
- Graded: A/F
- Prerequisites: MA650 and 12 credit hours of undergraduate calculus
The course covers fundamental concepts in both real and complex analysis. Topics covered include an overview of topologies of the real line and complex plane, limits, differentiation, and integration. Intended audience 9-12 teachers.
- Graded: A/F
- Prerequisites: MA650 and Linear Algebra and Matrix Theory
This course provides an overview of topics in Linear Algebra such as inner product vector spaces, finite dimensional spectral theory and special types of matrices, and introduces abstract algebraic structures including groups, rings, and fields. Intended audience 9-12 teachers.
- Prerequisites: Approval by the instructor and the head of the music department. (Use independent studies request form.)
- Prerequisites: Approval by the instructor and the head of the music department. (Use independent studies request form.)
- Prerequisites: Approval by the instructor and the head of the music department. (Use independent studies request form.)
- Prerequisites: Approval by the instructor and the head of the music department. (Use independent studies request form.)
- Prerequisites: Consent of music department head
- Prerequisites: Consent of instructor and music department head
- Prerequisites: Consent of instructor and music department head
- Prerequisites: Consent of instructor and music department head
- Prerequisites: Consent of instructor and music department head