Southeast Missouri State University

Mathematics (MA) Undergraduate Course Descriptions

MA 003. Mathematics Major Field Achievement Test.

Mathematics Major Field Achievement Test. Required of all Mathematics majors (Pure, Applied Mathematics and Statistics, and Secondary Education).
Prerequisite: Major in Mathematics, 90 credit hours. (0)

MA 018 Mathematics 1 Lab

This course satisfies the developmental mathematics requirement for students enrolled in MA118 who do not meet the ACT mathematics subscore requirement of 22 or higher. (1)

MA021 Concepts of School Mathematics Lab

This course satisfies the developmental mathematics requirement for students enrolled in MA218 who do not meet the ACT mathematics subscore requirement of 22 or higher. (1)

MA 023 Survey of Mathematics Lab

This course satisfies the developmental mathematics requirement for students enrolled in MA123 who do not meet the ACT Math subscore requirement of 22 or higher. (1)

MA050 Basic Math Skills.

This course is designed to review the basic operations of arithmetic; to understand and perform operations with signed numbers; and an introduction to algebra.  This course will prepare students to take MA101 Beginning Algebra. Course Grade:  NDA, NDB, NDC, NDD or NDF (3)

MA 055 Statistical Reasoning Lab

This course satisfies the developmental mathematics requirement for students enrolled in MA155 who do not meet the ACT mathematics subscore requirement of 22 or higher. (1)

MA101 Beginning Algebra.

Operations and variables, linear equations and inequalities, exponents, polynomials, factoring, rational expressions, linear equations and their graphs.  Course grade: CR or F.
Prerequisite: ACT Math subscore of 15-20 or MA050 with a grade of ‘C’ or higher. (3)

MA102 Intermediate Algebra.

Polynomials, factoring, equations and inequalities in one and two variables, rational expressions, rational exponents, quadratic equations, graphing, and systems of linear equations.
Prerequisite: MA101 with a grade of 'CR.'(3)

MA106 Intermediate Algebra

Polynomials, factoring, equations and inequalities in one and two variables, rational expressions, rational exponents, quadratic equations, graphing, and systems of linear equations. (3)

MA 118. Mathematics I.

Introduction to problem solving strategies, sets, whole numbers and their operations and properties, number theory, numeration systems, computer usage, and the historical significance and applications of these topics in the K-9 mathematics curriculum.
Prerequisite: ACT Math subscore of 15 or higher or MA050 with a grade of 'NDC' or higher or MA 102 with a grade of ‘C’ or higher or a required score on an appropriate COMPASS placement test. Students with an ACT Math subscore below 22 will co-enroll in MA018. Declared education major in elementary, early childhood, exceptional child, middle school, or human environmental studies: child development option major. (University Studies course) (3)

MA 123. Survey of Mathematics.

A sampling of topics including geometry, probability, statistics, finance with an emphasis on real-life applications.
Prerequisite: ACT Math subscore of 15 or higher or MA050 with a grade of 'NDC' or higher or MA 102 with a grade of ‘C’ or higher or a required score on an appropriate COMPASS placement test. Students with an ACT Math subscore below 22 will co-enroll in MA023. (University Studies course) (3)

MA 133. Plane Trigonometry.

Circular functions, right and oblique triangles, identities and equations, complex numbers.
Prerequisites: MA 106 with a grade of C or higher or MA 102 with a grade of C or higher or ACT Math score of 15-21 with required score on appropriate COMPASS placement test, or ACT Math score of 22 or higher. (3)

MA 134. College Algebra.

Functions and graphs, polynomial and rational functions, exponential and logarithmic functions, and sequences.
Prerequisite: MA 106 with a grade of C or higher or MA 102 with a grade of C or higher or ACT Math score of 15-21 with required score on appropriate COMPASS placement test, or ACT Math score of 22 or higher. (University Studies course) (3)

MA 135. Precalculus.

College Algebra and Trigonometry. Credit may not be received for MA 133 or MA 134 and MA 135.
Prerequisite: MA106 with a grade of ‘C’ or higher or MA102 with a grade of ‘CR’ or a grade of ‘C’ or higher or a required score on an appropriate COMPASS placement test, or ACT Math subscore of 22 or higher. (5)

MA137 Precalculus

In-depth study of polynomial, rational, exponential, logarithmic and trigonometric functions and equations with applications. (5)
Prerequisite: MA106 with a grade of ‘C’ or higher or MA102 with a grade of ‘CR’ or a grade of ‘C’ or higher or MA095 with a grade of 'C' or higher or a required score on an appropriate COMPASS placement test, or ACT Math subscore of 22 or higher.

MA 138. Discrete Mathematics.

Discrete Mathematics I. Applied mathematics course emphasizing fundamental principles of discrete mathematics and applications to computer science. Topics include logic, mathematical induction, sets, relations, functions, algorithms, permutations and combinations, and graph theory.
Prerequisite: MA134 or MA137 with a minimum grade of ‘C’. (3)

MA 139. Applied Calculus.

Applied Calculus. For students in business, social or life sciences. Functions, limits, differentiation and integration of elementary functions. Emphasizes applications.
Prerequisites: ACT Math subscore or 24 or MA 134 with a grade of C or higher. (3)

MA 140. Analytic Geometry and Calculus I.

Analytic Geometry and Calculus I. Analytic geometry, functions, limits, derivatives and integrals of algebraic, trigonometric, and exponential functions with applications.
Prerequisites: ACT Math subscore of 26 or higher or MA 137 with a grade of ‘C’ or higher. (5)

MA 145. Analytic Geometry and Calculus II.

Differentiation and integration of transcendental functions, series, conic sections, polar coordinates. Prerequisite: MA 140 with a grade of 'C' or higher. (4)

MA155. Statistical Reasoning.

Statistical Reasoning. This course will introduce statistical ideas to students. The student will reach an understanding of these statistical ideas, be able to deal critically with statistical arguments, and gain an understanding of the impact of statistical ideas on public policy and in other areas of academic study.
Prerequisite: ACT Math subscore of 15 or higher or MA050 with a grade of 'NDC' or higher or MA 102 with a grade of ‘C’ or higher or a required score on an appropriate COMPASS placement test. Students with an ACT Math subscore below 22 will co-enroll in MA055. (University Studies course) (3)

MA 218. Middle School Math.

Selected mathematics topics for teachers of middle school mathematics.
Prerequisite: MA 134 with a grade of 'C' or higher and a secondary and a middle education major. (3)

MA 223. Elementary Probability and Statistics.

Introduction to the basic ideas of statistics: descriptive measures, elementary probability, distributions, estimation, hypothesis testing, correlation, and linear regression.
Prerequisite: MA 134 with a grade of 'C' or higher. (3)

MA 230. Mathematics for the Early Childhood Teacher.

Topics taught in mathematics classes K-3. Emphasizes the logic and development of number concepts, classifications, numeration, attributes and patterns, measurement and geometry of shapes. May be counted only as elective credit except for a degree program on which this course is expressly required.
Prerequisite: MA 118 with a grade of 'C' or higher. (2)

MA 240. Analytic Geometry and Calculus III.

Vectors and solid analytic geometry, partial differentiation, multiple integrals and topics in vector calculus.
Prerequisite: MA 145 with a grade of 'C' or higher. (3)

MA 245. Vector Calculus.

Vectors, vector functions, vector geometry and vector analysis.
Prerequisite: MA 240 with a grade of 'C' or higher. (2)

MA 250. Foundations of Mathematics.

Foundations of Mathematics. An introduction to understanding and writing proofs using fundamental concepts such as relations, equivalence, partitions, mathematical induction, functions, development of number systems and infinite sets.
Prerequisite: MA 138 with a grade of ‘C’ or higher and either MA 139 or MA 140 with a grade of 'C' or higher.

MA 318. Mathematics II.

A development of the real number system, its properties and applications, including algebraic logic, graphing, statistics, probability and measurement. May be counted only as elective credit except for a degree program in which this course is expressly required.
Prerequisite: MA 118 with a grade of 'C' or higher. (3)

MA338. Discrete Mathematics II.

An applied mathematics course that emphasizes fundamental principles of discrete mathematics and their applications to computer science. Topics include the principle of inclusion and exclusion, generating functions, recurrence relations, graph theory, Boolean algebra, coding theory and combinatorial designs.
Prerequisite: MA 138 with a grade of 'C' or higher. (3)

MA 340. Concepts of Geometry.

Axiomatic geometry, Menelaus' and Ceva's theorems, harmonic elements and cross ratio, Desarques' theorem and inversion.
Prerequisite: MA 139 or MA 140 with a grade of 'C' or higher. (3)

MA 345. Linear Algebra.

Systems of linear equations, matrices and Gaussian elimination, vector spaces, eigenvalues and eigenvectors, inner products and orthogonal sets.
Prerequisite: MA 139 or MA 140 with a grade of 'C' or higher. (3)

MA 350. Differential Equations I.

Theory and techniques of solving ordinary differential equations, applications, numerical methods, series solutions, Laplace transforms.
Prerequisite: MA 240 with a grade of 'C' or higher. (3)

MA 440/441. Independent Study.

Study topics in mathematics not covered in other courses.
Prerequisite: MA 240 with a grade of 'C' or higher (1-2)

MA 418. Geometry for Teachers.

Euclidean geometry (demonstrative, coordinate, transformational), intuitive relations, constructions, properties of lines, polygons, circles and three-dimensional figures.
Prerequisite: MA 118 with a grade of 'C' or higher. (3)

MA 423. Statistical Analysis for Forensic Science.

Introduction to the statistical analysis of genetic data used in forensic science. Basic probability distributions used in analyzing genetic data will be discussed. Emphasis will be placed on estimation and statistical inferential procedures in forensic science.
Prerequisite: MA 140 with a grade of 'C' or higher or consent of instructor. (3)

MA425. 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. (3)

MA 443. Elementary Number Theory.

Topics of number theory, including fundamental laws, Diophantine equations, the integers and the properties of linear and quadratic congruences.
Prerequisite: MA 139 or MA 140 with a grade of 'C' or higher. (3)

MA 445. Modern Algebra.

Introduction to the study of sets, rings, fields, groups and vector spaces.
Prerequisite: MA 250 with a grade of 'C' or higher. (3)

MA 448. Mathematics Seminar.

MA 240 with a grade of 'C' or higher. (1)

MA 461/463. Special Topics in Mathematics.

Lectures, discussions and/or assigned readings on various topics in mathematics. The topic will vary with each offering. (1-3)

MA 464. Mathematical Cryptography.

Course will cover 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.
Prerequisites: MA 223 or MA 250 or MA 338 or MA 345 or MA 443 with a grade of 'C' or higher. (3)

MA 486/488. Internship in Mathematics.

A supervised learning and work experience in mathematics which enhances the student's understanding of, appreciation for, and the application of mathematics.
Prerequisites: 45 hours completed; GPA above 3.0; 16 hours above MA 134; consent of instructor. (1-3)

Mathematics (MA) Graduate Course Descriptions

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)

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 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 or MA140 with a grade of ‘C’ or higher. (3)  

MA 540. Projective Geometry.

Noneuclidean geometries, 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 544. Numerical Analysis.

Approximation procedures, numerical differentiation and integration, numerical solution of equations, systems of equations and differential equations with reference to computers.
Prerequisites: MA 240; MA 334. (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, sequence and series, continuity and differentiability of functions on Euclidean nspace.
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 and MA250. (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 and MA250. (3)

MA 550. Differential Equations II.

Theory and techniques of solving ordinary differential equations, partial differential equations and 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)

MA580. 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: MA223 (Elementary Probability and Statistics) or consent of instructor.

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.
Prerequisites: MA223. (3)

MA630. Basic Concepts of Modern Mathematics.

An introduction to logic and sets, algebraic systems, and elementary concepts in geometry. Designed for elementary school teachers. (3)

MA632. Foundations of Geometry.

Historical development of the postulational approach to geometry, coordinatization of affine and projective planes and metric postulates for Euclidean, hyperbolic, and elliptic planes. (3)

MA633. Differential Geometry.

Basic properties of curves and surfaces in three dimensional space, arc length, curvature, torsion. Frent-Seret formulas, surface normal, tangent plane, fundamental forms of surface theory.
Prerequisite: MA240. (3)

MA635. Topology.

Study of sets, relations, functions, products, cardinality, metric spaces, topological spaces, convergence, continuity, separation axioms, connectedness, compactness, homotopy, and fundamental group. (3)

MA636. The Nature of Mathematical Thought.

This course will examine the nature of mathematics along with its historical, social, and cultural aspects. Students will become familiar with the national as well as state principles and standards for teaching and learning mathematics. Students will explore current issues and trends in mathematics education. Credit only for The Missouri Cooperative Online Masters Degree in Teaching and Learning-Elementary Education.
Prerequisites: Successful completion of the program's core courses. (3)

MA637. Mathematical Processes.

This course will examine both finite and infinite mathematical processes used when solving problems involving discrete or continuous data. The course connects experiences from the concepts of numbers, algebra, and data analysis. Credit only for The Missouri Cooperative Online Masters Degree in Teaching and Learning-Elementary Education.
Prerequisites: Successful completion of the program's core courses and MA636. (3)

MA638. History of Mathematics.

A historical account of mathematics from the time of Newton and Leibniz to its twentieth century developments. (3)

MA640. Seminar in Contemporary School Mathematics.

A survey of the major issues and curricular trends in mathematics for secondary schools (7-12).
Prerequisites: Secondary mathematics teaching experience or consent of instructor. (3)

MA641. Geometry and Measurement.

In this course, students will use geometric concepts and relationships to describe and model mathematical ideas and real world constructs and understand measurable attributes of objects and the units, systems, and processes of measurement. The student will formulate questions that can be addressed with data and collect, organize, and display relevant data. Credit only for The Missouri Cooperative Online Masters Degree in Teaching and Learning- Elementary Education. Prerequisites: Successful completion of the program's core courses and MA636. (3)

MA642. Groups and Fields.

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

MA643. Number Theory.

A study of prime numbers, congruences, quadratic residues, and numerical functions.
Prerequisites: MA 443 Elementary Number Theory or consent of instructor. (3)

MA644. Rings and Modules.

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

MA645. Algebra.

A study of the basic algebraic (number) systems including groups, rings, modules, and categories.
Prerequisites: MA445 and either MA345 or MA545 or consent of instructor. (3)

MA646. Modern Real Analysis.

Sets, metric spaces, Lebesgue integral, Hilbert spaces.
Prerequisites: MA546 Advanced Calculus I. (3)

MA647. Complex Analysis.

Complex numbers, analytic function, integrals, power series, residues and poles, and conformal mapping.
Prerequisites: MA240. (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)

MA651. Mathematics Capstone.

In this course students will synthesize and demonstrate their understanding of mathematical concepts learned in the three prerequisite mathematics courses by successful completion of a final independent paper/project. Other activities will be assigned to connect and extend the student's existing mathematical knowledge and experiences. Credit only for The Missouri Cooperative Online Masters Degree in Teaching and Learning-Elementary Education.
Prerequisites: Successful completion of the program's core courses and MA636, MA637, and MA641. (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.
Prerequisites: One of the following (with a minimum grade of ‘C’): MA223, MA250, MA338, MA345, or MA443. (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. (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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