2022 - 2023 Undergraduate Bulletin - NMU Bulletin

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: 2022 - 2023 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 465 Complex Variables 3 cr.

• Offered: On demand
• Prerequisites: MA 211, MA 265, junior standing or instructor’s permission.
• Bulletin Year: 2022 - 2023 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: 2022 - 2023 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: 2022 - 2023 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.

MA 412 Abstract Algebra II 3 cr.

• Offered: On demand
• Prerequisites: MA 312, junior standing or instructor's permission.
• Bulletin Year: 2022 - 2023 Undergraduate Bulletin | View the current NMU Catalog.

Topics selected from the following: groups, subgroups, homomorphisms, the isomorphism theorems, sylow theorems, rings, ideals, quotient rings, Euclidean rings, integral domains, factorization of ring elements, extension fields, splitting fields and Galois theory.

MA 380 Linear Programming 3 cr.

• Offered: Winter semester of odd-numbered years
• Prerequisites: MA 211.
• Bulletin Year: 2022 - 2023 Undergraduate Bulletin | View the current NMU Catalog.

Introduction to the fundamental principles and techniques of linear programming with strong emphasis on mathematical modeling, analysis and application to non-trivial problems arising in various areas of the physical, social and decision sciences.

MA 371 Probability 3 cr.  (3-0-0)

• Offered: Fall Winter
• Prerequisites: MA 163 or instructor permission.
• Bulletin Year: 2022 - 2023 Undergraduate Bulletin | View the current NMU Catalog.

A general introduction to the mathematics underlying statistics, including the standard discrete and continuous parametric distributions, moment generating functions, and multivariable distributions.

Notes: Formerly Applied Probability and Statistics

MA 366 General Topology 3 cr.

• Offered: On demand
• Prerequisites: MA 211 and MA 265.
• Bulletin Year: 2022 - 2023 Undergraduate Bulletin | View the current NMU Catalog.

Introduction to concepts such as topological space, connectedness, compactness and homeomorphism.

MA 363 Analysis I 3 cr.

• Offered: On demand
• Prerequisites: MA 211 and MA 265.
• Bulletin Year: 2022 - 2023 Undergraduate Bulletin | View the current NMU Catalog.

Sets and functions, topological ideas, and sequences. Continuity and uniform continuity. Properties of continuous functions and mean value theorems. Integration theory in one and two variables. Evaluation of double and improper integrals.

MA 361 Differential Equations 3 cr.

• Offered: Winter
• Prerequisites: MA 265 or instructor permission.
• Bulletin Year: 2022 - 2023 Undergraduate Bulletin | View the current NMU Catalog.

First-order equations, theory of second-order linear equations, higher-order linear equations and systems, series solutions, Laplace transform and applications, and stability.