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)

Continuation of MA 523 with emphasis on applications sampling, estimation, hypothesis
testing, regression, experimental design, nonparametric methods.

Prerequisite: MA 523.(3)

Introduction to actuarial models such as aggregate models, empirical models, survival
models, severity models, credibility models, and frequency models.

Prerequisite: MA524. (3)

Solving probability problems that are unique to actuarial science.

Pre or Corequisite: MA524. (1)

Solving financial mathematics problems that are unique to actuarial science.

Prerequisite: MA526 or consent of instructor. (1)

Solving modeling problems using actuarial methods.

Pre or Corequisite: MA525. (1)

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)

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)

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)

Introduction to vector spaces, linear transformations, matrices, eigenvalues, eigenvectors,
and numerical methods in linear algebra.

Prerequisite: MA 445. (3)

Elementary set theory and topology, sequences and series, continuity and differentiability
of functions on Euclidean space.

Prerequisites: MA 240; MA 250. (3)

Convergence of series of functions, Implicit Function Theorem, integration.

Prerequisite: MA 546. (3)

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)

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)

Theory and techniques of solving ordinary differential equations, partial differential
equations, boundary value problems, applications, numerical methods, and stability.

Prerequisite: MA 350. (3)

An overview of research methods. Practice in the methods for the formulation and solution
of problems.

Prerequisite: MA 240 or MA 445. (3)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Groups, Group Actions, Sylow Theorems, Abelian Groups, Field Extensions, Galois Theory.

Prerequisite: MA445 Modern Algebra (3)

Rings, Ideals, Quotient Rings, Domains, Polynomial Rings, Modules, Modules over PIDs,
Commutative Rings.

Prerequisite: MA445 Modern Algebra (3)

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

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

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

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

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

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

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)

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)

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)

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)

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)

**Phone: 573.651.2164 Fax: 573.986.6811**

math@semo.edu

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One University Plaza, MS 6700

Cape Girardeau, Missouri 63701