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)

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)

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)

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)

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)

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)

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)

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)

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

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)

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)

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)

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)

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)

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.

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)

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)

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)

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

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)

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)

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)

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)

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)

Vectors, vector functions, vector geometry and vector analysis.

Prerequisite: MA 240 with a grade of 'C' or higher. (2)

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.

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)

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)

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)

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)

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)

Study topics in mathematics not covered in other courses.

Prerequisite: MA 240 with a grade of 'C' or higher (1-2)

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)

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)

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)

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)

Introduction to the study of sets, rings, fields, groups and vector spaces.

Prerequisite: MA 250 with a grade of 'C' or higher. (3)

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

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

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)

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)

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)

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)

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)

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)

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)

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)

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 and MA250. (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 and MA250. (3)

Theory and techniques of solving ordinary differential equations, partial differential
equations and 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: MA223 (Elementary Probability and Statistics) or consent of instructor.

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)

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

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

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)

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

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)

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)

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

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)

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)

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

Prerequisites: MA445. (3)

A study of prime numbers, congruences, quadratic residues, and numerical functions.

Prerequisites: MA 443 Elementary Number Theory or consent of instructor. (3)

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

Prerequisites: MA445. (3)

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)

Sets, metric spaces, Lebesgue integral, Hilbert spaces.

Prerequisites: MA546 Advanced Calculus I. (3)

Complex numbers, analytic function, integrals, power series, residues and poles, and
conformal mapping.

Prerequisites: MA240. (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)

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)

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)

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