2021 - 2022 Undergraduate Bulletin - NMU Bulletin

MA 484 History of Mathematical Thought 3 cr.

• Offered: Winter
• Prerequisites: MA 312 or MA 331, junior standing or instructor’s permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

A historical view of mathematics. Studies in discovery, rigorization and generalization through abstraction.

MA 483 Introduction to Number Theory 3 cr.

• Offered: On demand
• Prerequisites: MA 312, junior standing or instructor's permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

Peano’s axioms, Euclidean algorithm, congruence, quadratic reciprocity law, Gaussian integers, continued fractions, Diophantine equations and theory of equations.

MA 482 Foundations of Mathematics 3 cr.

• Offered: On demand
• Prerequisites: Junior standing and instructor’s permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

Informal axiomatic set theory, cardinal and ordinal arithmetic, transfinite induction and issues in the philosophy of mathematics.

MA 481 Mathematical Logic 3 cr.

• Offered: Winter 2007; every third winter thereafter
• Prerequisites: Junior standing and instructor's permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

The propositional and predicate calculi, syntax and semantics, consistency and completeness and undecidability. Included are Goedel’s theorems, recursive function theory, model theory and applications.

MA 475 Statistics II 4 cr.

• Offered: On demand
• Prerequisites: MA 371 and MA 472 or instructor permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

The student will become familiar with survival, severity, frequency, and aggregate models and use statistical methods to estimate parameters of such models given sample data. The student is further expected to identify steps in the modeling process, understand the underlying assumptions implicit in each family of models, recognize which assumptions are applicable in a given business application, and appropriately adjust the models for impact of insurance coverage modifications. 

Covers selected topics on the current SOA Exam C / CAS Exam 4 syllabus. 

Notes:

Formerly Intermediate Statistics

MA 473 Numerical Analysis 4 cr.

• Offered: Every other fall
• Prerequisites: MA 211 and either MA 265 or MA 361, junior standing or instructor’s permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

Notions and definitions of numerical analysis and study of numerical methods applied to systems of linear algebraic equations, non-linear equations, polynomial equations, integration, ordinary and partial differential equations and integral equations.

MA 472 Statistics I 4 cr.

• Offered: On demand
• Prerequisites: MA 371, or graduate-level standing.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

Multivariate normal and other multivariate distributions are introduced. The theory of estimation and hypothesis testing is discussed in detail. The theory of regression, correlation and other linear models are briefly touched upon.

MA 465 Complex Variables 3 cr.

• Offered: On demand
• Prerequisites: MA 211, MA 265, junior standing or instructor’s permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

Complex numbers, analytic functions, conformal mapping, residues and poles, analytic continuation and Riemann surfaces.

MA 464 Analysis II 3 cr.

• Offered: On demand
• Prerequisites: MA 363, junior standing or instructor’s permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

Covers selected topics from real analysis and / or complex analysis.  This course serves as a second course in analysis.

Notes:

Formerly Advanced Calculus II

MA 461 Mathematics Seminar 3 cr.  (3-0-0)

• Offered: Fall
• Prerequisites: MA 265 and MA 211, or instructor permission.
• Bulletin Year: 2021 - 2022 Undergraduate Bulletin | View the current NMU Catalog.

A course examining the mathematical foundations of fundamental concepts of arithmetic, algebra, geometry, number theory, and other topics from across the mathematics curriculum and the connections that unify those concepts. Emphasis is on thinking deeply about fundamental concepts while further developing students' mathematical reasoning, representation, and problem-solving abilities.