Mathematics Major Field Achievement Test. Required of all Mathematics majors (Pure,
Applied Mathematics and Statistics, and Secondary Education).

Prerequisites: Major in Mathematics, 90 credit hours. (0)

Course satisfies the developmental mathematics requirement for students enrolled in
MA128 who do not meet the ACT mathematics subscore requirement of 22 or higher.

Pre/corequisite: MA128 and ACT mathematics subscore of 0-21; or MA050 with a minimum
grade of NDC; declared education major in elementary, early childhood, exceptional
child, middle school, or human environmental studies: child development option. (1)

Course satisfies the developmental mathematics requirement for students enrolled in
MA123 who do not meet the ACT mathematics subscore requirement of 22 or higher.

Pre/corequisite: MA123 and ACT mathematics subscore of 0-21; or MA050 with a minimum
grade of NDC. (1)

Review of the basic operations of arithmetic; understanding and performing operations
with signed numbers; and an introduction to algebra.

Prerequisite: ACT Mathematics score of 14 or below. (3)

Course satisfies the developmental mathematics requirement for students enrolled in
MA155 who do not meet the ACT mathematics subscore requirement of 22 or higher.

Pre/corequisite: MA155 and ACT mathematics subscore of 0-21; or MA050 with a minimum
grade of NDC. (1)

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

Prerequisite: MA050 with a minimum grade of NDC or ACT Math subscore of 15-21 or a
required score on an appropriate mathematics placement test. (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
mathematics placement test. Students with an ACT Math subscore below 22 will co-enroll
in MA023. (University Studies course) (3)

Real numbers and their operations, properties, and applications, number theory, numeration systems, algebraic properties, graphing, statistics, probability and their historical importance. Prerequisites: Declared education major in elementary, early childhood, exceptional child, middle school, or human environmental studies: child development option major. 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 mathematics placement test. Students with an ACT Math subscore below 22 will co-enroll in MA018. (University Studies course) (4)

Circular functions, right and oblique triangles, identities and equations, complex
numbers.

Prerequisite: MA 106 with a minimum grade of C or MA 102 with a minimum grade of C
or ACT Math score of 15-21 with required score on appropriate mathematics 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 minimum grade of C or MA 102 with a minimum grade of C
or ACT Math score of 15-21 with required score on appropriate mathematics placement
test, or ACT Math score of 22 or higher. (University Studies course) (3)

Integrated course of College Algebra and Plane 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 mathematics 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. Credit may not be received for MA137 and
any of the following: MA 133, MA 134, or MA 135.

Prerequisite: MA 102 or MA 106 with a grade of CR; or MA 095 with a minimum grade
of C; or ACT Math subscore of 22 or higher. (University Studies course) (5)

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)

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 minimum grade of C. (3)

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 minimum grade of
C. (5)

Applications and techniques of integration, parametric equations, polar coordinates,
techniques of solving ordinary differential equations, applications, numerical methods,
and Laplace transforms.

Prerequisites: MA 140 with a minimum grade of C. (5)

Differentiation and integration of transcendental functions, series, conic sections,
polar coordinates.

Prerequisite: MA 140 with a minimum grade of C. (4)

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: 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 mathematics placement test. Students with an ACT Math subscore below
22 will co-enroll in MA055. (University Studies course) (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 minimum grade of 'C'. (3)

Euclidean geometry - demonstrative, coordinate, transformational; intuitive relationships,
constructions, properties of lines, polygons, circles, three-dimensional figures,
and two-dimensional non-Euclidean geometry.

Prerequisite: MA 128 with a minimum grade of C. (4)

Vectors, solid analytic geometry, partial differentiation, multiple integration, and topics in vector calculus.

Prerequisite: MA 145 with a minimum grade of C. (4)

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 minimum grade of C; MA 139 or MA 140 with a minimum grade of C. (3)

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: MA128 with a minimum grade of C. (3)

Introduction to programming using a computer algebra system. Design and implementation
of algorithms for solving mathematical problems.

Prerequisites: MA138 with a minimum grade of C; MA 145 with a minimum grade of C.
(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 minimum grade of C. (3)

Axiomatic geometry, Menelaus' and Ceva's theorems, harmonic elements and cross ratio,
Desarques' theorem and inversion.

Prerequisite: MA 250 with a minimum grade of C. (3)

Systems of linear equations, matrices and Gaussian elimination, vector spaces, eigenvalues
and eigenvectors, inner products and orthogonal sets.

Prerequisite: MA 139 with a minimum grade of C or MA 140 with a minimum grade of C. (3)

Theory and techniques of solving ordinary differential equations, applications, numerical
methods, series solutions, Laplace transforms.

Prerequisite: MA 145 with a minimum grade of C. (3)

Course covers part of the financial mathematics examination administered by the Society
of Actuaries (SOA)/Casualty Actuarial Society (CAS).

Prerequisite or Co-requisite: MA244 with a minimum grade of C. (3)

Continuation of MA 375 with emphasis on immunization and dedication, derivatives,
hedging and investment strategies.

Prerequisite: MA375 with a minimum grade of C. (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 minimum grade of C, or consent of instructor. (3)

Using regression to represent a relationship between explanatory variables and their associated response. Emphasis on analyzing actual
datasets. Topics to be covered: Simple linear regression, multiple regression, prediction, variable selection,
residual diagnostics, auto-regression, and logistic regression.

Prerequisites: MA 223 with a minimum grade of C; MA 345 with a minimum grade of C. (3)

Study topics in mathematics not covered in other courses.

Prerequisite: MA 240 or MA 244 with a minimum grade of C. (1-2)

Topics of number theory, including fundamental laws, Diophantine equations, the integers
and the properties of linear and quadratic congruences.

Prerequisite: MA 250 with a minimum grade of C. (3)

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

Prerequisite: MA 250 with a minimum grade of C. (3)

Solving non-routine problems, reading, research, and communication of mathematical
ideas.

Prerequisites: MA 250; MA 345; MA 240 or MA 244; minimum grade of C in all prerequisite
courses. (3)

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 AES, and public-key cryptosystems
such as RSA.

Prerequisite: MA 223 or MA 250 or MA 338 or MA 345 or MA 443 with a minimum grade of C. (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)

An emphasis on mathematical ideas as a growing, changing human endeavor, which influences
the history of societies including today’s technological culture.

Prerequisites: Development of a Major Civilization; MA 139 or MA 140 with a minimum
grade of C. (University Studies course) (3)

Introduction to probability and statistics using the tools of calculus. Algebra of
probability, random variables, discrete and continuous distributions.

Prerequisite or Co-requisite: MA 244 with minimum grade of C. (3)

Continuation of MA 523 with emphasis on bivariate distributions and statistical inferences,
statistical sampling, estimation, testing hypotheses, parametric procedures for one-sample
and two-sample problems.

Prerequisite: MA 523 with minimum grade of C. (3)

Solving probability problems that are unique to actuarial science.

Prerequisite: MA 524 with a minimum grade of C. (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: MA 250 with a minimum grade of C. (3)

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

Prerequisite: MA 139 or MA 140 with a minimum grade of C. (3)

Non-Euclidean geometry, study of projective geometry and its relation to other geometries.

Prerequisite: MA 250 with a minimum grade of C. (3)

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

Prerequisites: MA 250 with minimum grade of C; MA 345 with minimum grade of C. (3)

Sets, relations and functions, sequences of real numbers and sequences in R, continuous
and differentiable functions on R.

Prerequisites: MA 244 with minimum grade of C; MA 250 with minimum grade of C. (3)

Riemann-Stieltjes integral, measure and Lebesgue integral, convergence of infinite series of functions, Fourier series, some Hilbert space theory. Prerequisite: MA 546 with minimum grade of C. (3)

A study of basic enumeration techniques, recurrence relations, generating functions,
the inclusion-exclusion principle, Ramsey theory, partially-ordered sets, and combinatorial
designs.

Prerequisites: MA145 with a minimum grade of C; MA 250 with a minimum grade of C. (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.

Prerequisites: MA145 with minimum grade of C; MA 250 with minimum grade of C. (3)

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

Prerequisite: MA 350 with minimum grade of C. (3)

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

Prerequisite: MA 244 with minimum grade of C or MA 250 with minimum grade of C. (3)

Introduction to financial time series analysis with hands-on estimation of mean and
conditional heteroscedastic processes using statistical software.

Prerequisites: MA 145 with a minimum grade of C; MA 425 with a minimum grade of C.
(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.

Prerequisite: MA 223 with a minimum grade of C or consent of instructor. (3)

Introduction to survival models, life tables, contingent payment models, and contingent
annuity models using tools of mathematical statistics.

Prerequisite: MA 524 with a minimum grade of C. (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.

Co-requisite: MD 621. (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.

Co-requisite: MD 622. (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. Co-requisite: MD 626. (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. Co-requisite: MD 627. (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.

Co-requisite: MD 611. (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.

Co-requisite: MD 612. (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 with a minimum grade of C (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.

Co-requisite: MD 616. (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.

Co-requisite: MD 617. (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: MA244 with a minimum grade of C. (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.

Prerequisite: 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).

Prerequisite: 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)

Introduction to the algebraic theory of groups and fields. Use of a computer algebra
system to explore applications to related areas.

Prerequisite: MA445 with a minimum grade of C. (3)

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

Prerequisite: MA 443 with a minimum grade of C or consent of instructor. (3)

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

Prerequisite: MA 445 with a minimum grade of C. (3)

A study of the basic algebraic (number) systems including groups, rings, modules,
and categories.

Prerequisites: MA445 with a minimum grade of C and either MA345 or MA545 with a minimum
grade of C or consent of instructor. (3)

Sets, metric spaces, Lebesgue integral, Hilbert spaces.

Prerequisite: MA546 with a minimum grade of C. (3)

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

Prerequisites: MA244 with a minimum grade of C. (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)

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)

Classical and modern cryptosystems, elliptic curves, hashing, digital signatures,
factoring, discrete logarithm problem, pseudo-random numbers, identification and authentication
schemes, applications.

Prerequisite: MA443 or MA445 or MA464 with a minimum grade of C. (3)

Introduction to the use of a computer algebra system (CAS) for exploring advanced
mathematics.

Prerequisite: MA250 with a minimum grade of C. (1)

Introduction to mathematical descriptions of physical phenomena, computational methodologies,
and empirical interpretations of numerical data.

Prerequisites: MA244 with a minimum grade of C; MA345 with a minimum grade of C; MA344
or CS155 or CS177 with a minimum grade of C. (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)

**Phone: 573.651.2164**

math@semo.edu

Johnson Hall 201

One University Plaza, MS 6700

Cape Girardeau, Missouri 63701