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MA 523 Probability and Statistics I

Introduction to probability and statistics using the tools of calculus. Algebra of probability, random variables, discrete and continuous distributions.
Prerequisite or Corequisite: MA 240. (3)

MA 524 Probability and Statistics II

Continuation of MA 523 with emphasis on applications sampling, estimation, hypothesis testing, regression, experimental design, nonparametric methods.
Prerequisite: MA 523.(3)

MA525 Actuarial Modeling

Introduction to actuarial models such as aggregate models, empirical models, survival models, severity models, credibility models, and frequency models.
Prerequisite: MA524. (3)

MA526 Actuaries Seminar I

Solving probability problems that are unique to actuarial science.
Pre or Corequisite: MA524. (1)

MA527 Actuaries Seminar II

Solving financial mathematics problems that are unique to actuarial science.
Prerequisite: MA526 or consent of instructor. (1)

MA528 Actuaries Seminar III

Solving modeling problems using actuarial methods.
Pre or Corequisite: MA525. (1)

MA532 Foundations of Geometry

Historical development of the axiomatic approach to Euclidean geometry and non-Euclidean geometries, coordinate systems for affine and projective planes, and metric postulates for Euclidean, hyperbolic, and elliptic planes.
Prerequisite: MA250 Foundations of Mathematics with a grade of ‘C’ or higher. (3)

MA538 History of Mathematics

A historical account of mathematics from the time of Newton and Leibniz to its twentieth century developments.
Prerequisite: MA139 Applied Calculus or MA140 Analytic Geometry & Calculus I with a grade of ‘C’ or higher. (3)

MA 540 Projective Geometry

Non-Euclidean geometry, study of projective geometry and its relation to other geometries.
Prerequisite: MA 340 or 10 hours of mathematics courses numbered above MA 140 (3)

MA 545 Linear Algebra and Matrices

Introduction to vector spaces, linear transformations, matrices, eigenvalues, eigenvectors, and numerical methods in linear algebra.
Prerequisite: MA 445. (3)

MA 546 Advanced Calculus I

Elementary set theory and topology, sequences and series, continuity and differentiability of functions on Euclidean space.
Prerequisites: MA 240; MA 250. (3)

MA 547 Advanced Calculus II

Convergence of series of functions, Implicit Function Theorem, integration.
Prerequisite: MA 546. (3)

MA548 Enumerative Combinatorics

A study of basic enumeration techniques, recurrence relations, generating functions, the inclusion-exclusion principle, Ramsey theory, partially-ordered sets, and combinatorial designs.
Prerequisite: MA145 Analytic Geometry & Calculus II and MA250 Foundations of Mathematics. (3)

MA549 Graph Theory

Basic parameters and properties of graphs, representations, trees, connectedness, Eulerian and Hamiltonian cycles and paths, matchings, edge and vertex colorings, independent sets and cliques, planar graphs, directed graphs, multigraphs.
Prerequisite: MA145 Analytic Geometry & Calculus II and MA250 Foundations of Mathematics (3)

MA 550 Differential Equations II

Theory and techniques of solving ordinary differential equations, partial differential equations, boundary value problems, applications, numerical methods, and stability.
Prerequisite: MA 350. (3)

MA 560 Research Methods in Mathematics

An overview of research methods. Practice in the methods for the formulation and solution of problems.
Prerequisite: MA 240 or MA 445. (3)

MA 580 Experimental Design and Analysis of Variance

Completely randomized design and analysis, randomized block design and analysis, factorial experiments, split-plot design and analysis, repeated measurement experiments and analysis, analysis of covariance.
Prerequisites: MA 223 or consent of instructor. (3)

MA611 Internship in Numbers and Operations

Supervised teaching practicum and online seminars in which candidate acquires experience working with a range of students and adult learners on Number and Operations concepts.
Corequisite: MA621. (1)

MA612 Internship in Rational Numbers and Proportional Thinking

Supervised teaching practicum and online seminars in which candidate acquires experience working with a range of students and adult learners on Rational Number and Proportional Thinking concepts.
Corequisite: MA622. (1)

MA616 Internship in Geometry and Measurement

Supervised teaching practicum and online seminars in which candidate acquires experience working with a range of students and adult learners on Geometry and Measurement concepts.
Corequisite: MA626. (1)

MA617 Internship in Algebraic Reasoning

Supervised teaching practicum and online seminars in which candidate acquires experience working with a range of students and adult learners on Algebraic Reasoning concepts.
Corequisite: MA627. (1)

MA621 Numbers and Operations

The course is designed to develop an understanding of the learning and teaching of pre-number concepts, counting and cardinality, and numbers and operations in base ten. Emphasis will be given to how children think about and learn these concepts and how they fit into the elementary school curriculum.
Corequisite: MA611. (3)

MA622 Rational Numbers and Proportional Thinking

The course is designed to develop an understanding of the learning and teaching of rational numbers and ratio and proportional relationships. Emphasis will be given to how children think about and learn these concepts and how they fit into the elementary school curriculum.
Corequisite: MA612. (3)

MA624 Data and Probability

The course is designed to develop understanding of probabilistic reasoning and the collection, exploration, and analysis of data. Emphasis will be given to how children think and learn about these concepts and how they fit into the elementary school curriculum (3)

MA625 Applied Regression Analysis

Learn how to use regression to represent a relationship between explanatory variables and their associated response. Emphasis will be on analyzing actual datasets. The following topics will be covered: simple linear regression, multiple regression, prediction, variable selection, residual diagnostics, auto-regression, and logistic regression.
Prerequisite: MA223 Elementary Probability & Statistics (3)

MA626 Geometry and Measurement

This course is designed to develop an understanding of the teaching and learning of geometry and measurement. Emphasis will be given to how children think about and learn these concepts and how they fit into an elementary mathematics curriculum.
Corequisite: MA616. (3)

MA627 Algebraic Reasoning

This course will focus on the content and complexities of teaching and assessing algebraic reasoning in grade 1-6 settings. Course content will include examination of representation and analysis of mathematical situations and structures. Attention will be given to patterns, functions, and the transition from arithmetic to algebra.
Corequisite: MA617. (3)

MA642 Groups and Fields

Groups, Group Actions, Sylow Theorems, Abelian Groups, Field Extensions, Galois Theory.
Prerequisite: MA445 Modern Algebra (3)

MA644 Rings and Modules

Rings, Ideals, Quotient Rings, Domains, Polynomial Rings, Modules, Modules over PIDs, Commutative Rings.
Prerequisite: MA445 Modern Algebra (3)

MA648 Independent Study in Mathematics

Study of topics in specialized area not covered by regular course offerings. (1)

MA649 Independent Study in Mathematics

Study of topics in specialized area not covered by regular course offerings. (2)

MA650. Independent Study in Mathematics.

Study of topics in specialized area not covered by regular course offerings.(3)

MA661 Spec Topics In Math

Study of topics in specialized area not covered by regular course offerings. (1)

MA662 Spec Topics In Math

Study of topics in specialized area not covered by regular course offerings. (2)

MA663 Spec Topics In Math

Study of topics in specialized area not covered by regular course offerings. (3)

MA664 Mathematical Cryptography

Basic concepts of secure communication, classical cryptography and cryptoanalysis, monoalphabetic and polyalphabetic ciphers. Shannon’s theory of secrecy. Modern private-key cryptosystems such as DES, and public-key cryptosystems such as RSA.
Prerequisite: MA223 or MA250 or MA338 or MA245 or MA443 with a grade of ‘C’ or higher. (3)

MA694 Thesis

A written report based upon investigation of some subject or the completion of a creative project. See Thesis Plan for additional information. Second semester. (3)  

MA695 Thesis

A written report based upon investigation of some subject or the completion of a creative project. See Thesis Plan for additional information. Second semester. (3)  

MA696 Thesis

A written report based upon investigation of some subject or the completion of a creative project. See Thesis Plan for additional information. Second semester. (2)

MA697 Thesis

A written report based upon investigation of some subject or the completion of a creative project. See Thesis Plan for additional information. Second semester. (1)

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