Download COURSE OFFERINGS (Courses marked with </ are part of the

COURSE OFFERINGS
(Courses marked with </ are part of the
University’s General Education program. See Table
of Contents for details.)
MA 103 Basic Algebra (3)
A first course in algebra. Signed numbers and
operations, integer exponents, linear equations and
inequalities, lines, polynomials, factoring, rational
expressions, applications involving linear equations.
Does not count towards degree credit hour
requirements, nor general education requirements.
MA 104 Intermediate Algebra (3)
Operations with polynomial and rational
expressions, factoring, equations (linear, absolute
value, quadratic, rational, root), inequalities (linear,
compound, absolute value), graphing linear and
quadratic functions, systems of linear equations,
rational exponents and radicals, applications
(involving linear, rational, and quadratic equations).
This course is for students entering with one year of
high school algebra who are preparing for Exploring
Mathematics or College Algebra. Does not count
towards degree credit requirements, nor general
education requirements. Students in this course are
expected to have algebraic knowledge equivalent to
MA 103 or one year of high school or junior high
school algebra.
MA 105 Science Success Strategies (2)
Interdisciplinary class may be taken as CH 100.
Develops mathematics and science skills
fundamental to science majors. Prerequisite: A grade
of “C” or better in MA 104 (or equivalent) or an
acceptable (as determined by the Mathematics
Department) ACT mathematics score or SAT
quantitative score or Compass Mathematics
Placement Test score.
</MA 110 Exploring Mathematics (3)
Linear equations, modeling with quadratic and
exponential equations, systems of linear equations
and inequalities, linear programming, math of finance,
use of TVM feature on graphing calculators, set
theory, solving survey problems using Venn diagrams,
counting problems, probability and statistics. This
course is not intended to prepare students for
calculus. Not open to students with credit in any
course numbered above MA 116. Prerequisites: A
grade of “C” or better in MA 104 (or equivalent) or an
acceptable (as determined by the Mathematics
Department) ACT score, SAT quantitative score, or
Compass Mathematics Placement score.
</MA 116 College Algebra (3)
Equations (linear systems, polynomial, rational,
absolute value, root, exponential, logarithmic),
functions (notation, combining, domain, inverse),
graphing (linear, quadratic, polynomial, piece-wise,
rational, exponential, logarithmic), inequalities
(compound, absolute value, polynomial, rational),
logarithmic expressions, applications involving
various types of equations and/or systems of
equations. Not open to students with credit in MA
117, MA 123, or any course numbered above MA 140.
Prerequisite: A grade of “C” or better in MA 104 (or
equivalent) or an acceptable (as determined by the
Mathematics Department) ACT mathematics score or
SAT quantitative score or Compass Mathematics
Placement Test score.
</MA 117 Trigonometry (3)
Trigonometric functions, their inverses, graphs,
and identities. Solving trigonometric equations. A
wide variety of applications, and appropriate use of
technology. Prerequisite: A grade of “C” or better in
MA 116 or concurrent with MA 116 or an acceptable
(as determined by the Mathematics Department) ACT
mathematics score or SAT quantitative score or
equivalent knowledge as determined by the
Mathematics Department.
</MA 123 Pre-Calculus (3)
Algebraic, exponential and trigonometric functions.
Topics in plane analytic geometry. Designed for the
student preparing for calculus. Not open to students
with credit in MA 141 or MA 151. Prerequisite: A
grade of “C” or better in MA 116 or MA 117 or an
acceptable ACT mathematics score or SAT
quantitative score or equivalent knowledge as
determined by the Mathematics Department.
</MA 140 Statistics (3)
Introduction to statistics and probability with
practical applications. Descriptive techniques
including graphical methods, linear regression,
probability distributions, sampling distributions,
confidence intervals, hypothesis tests. Prerequisite: A
grade of “C” or better in either MA 110 or MA 116 or
MA 123, or, an acceptable ACT mathematics score or
SAT quantitative score or Compass Mathematics
Placement score.
</MA 141 Applied Calculus I (3)
Definition and elementary properties of the
derivative and definite integral with emphasis on the
application of the derivative and integral to problems
in business. Not open to student with credit in MA
151. Prerequisite: A grade of “C” or better in MA 116
or MA 123 or an acceptable ACT mathematics score
or SAT quantitative score or equivalent knowledge as
determined by the Mathematics Department.
</MA 142 Applied Calculus II (3)
A continuation of MA 141. Elementary differential
and integral calculus including the trigonometric
functions, techniques of integration and an
introduction to multivariable calculus. Applications will
be primarily from management and biological
sciences. Not open to students with credit in MA
151. Prerequisite: A grade of “C” or better in MA 141
AND a grade of “C” or better in either MA 117 or MA
123 or consent of instructor.
</MA 145 Mathematics for Decision Making (3)
This course will introduce students to quantitative
methods of decision making used in management,
the life and social sciences. Topics covered will
include: matrices, linear programming (including the
simplex method), probability theory, Markov chains,
graph theory, simulation and modeling. Prerequisite:
A grade of “C” or better in MA 116 or MA 123 or an
acceptable ACT mathematics score or SAT
quantitative score or equivalent knowledge as
determined by the Mathematics Department.
</MA 148 Mathematics of Finance (3)
Interest, annuities, amortization, sinking funds,
stocks, bonds. Prerequisite: A grade of “C” or better
in MA 116 or MA 123 or an acceptable ACT
mathematics score or SAT quantitative score or
equivalent knowledge as determined by the
Mathematics Department.
Prerequisite: PH 110 or CM 111 and MA 116 or MA
123 or two years of high school or junior high school
algebra and one of the following: an ACT
mathematics score of at least 25 (SAT quantitative
score of at least 580) or equivalent knowledge as
determined by the Mathematics Department.
MA 207 Discrete Mathematics (3)
Logic, counting methods, induction, functions,
equivalence, partial order, and congruence relations.
Set up and solve recurrence relations problems.
Graph theory and its applications. Significant
emphasis on the format and method of mathematical
proof. Prerequisites: MA 151 or MA 206, PH 110 or
PH 220 or consent of instructor.
MA 228 Mathematics for Elementary Educators (4)
The investigation of mathematical concepts and
procedures encountered in grades K-8. Topics
include rational numbers and operations, algebraic
patterns, number theory, geometry, and
measurement. Significant emphasis is placed on
conceptual in-depth understanding of these
mathematical topics and connecting those concepts
to a range of procedures, as needed by beginning
teachers. Prerequisite: A grade of “C” or better in MA
116 or MA 123, or, two years of high school or junior
high school algebra and an acceptable ACT
mathematics score, or SAT quantitative score, or
Compass Mathematics Placement Test score or
equivalent knowledge as determined by the
Mathematics Department.
</MA 151 Calculus and Analytic Geometry I (5)
Differential and integral calculus of the elementary
functions with applications. Prerequisite: A grade of
“C” or better in MA 117 or MA 123 or an acceptable
ACT mathematics score or SAT quantitative score or
equivalent knowledge as determined by the
Mathematics Department.
MA 241 Differential Equations (3)
Methods for solving ordinary differential equations
and systems of ordinary differential equations
including Laplace transforms, series, numerical
methods with applications. Prerequisite: MA 153 or
concurrent.
MA 152 Calculus and Analytic Geometry II (5)
A continuation of Mathematics 151. Topics in
plane analytic geometry, techniques of integration
with applications, and infinite series. Prerequisite: A
grade of “C” or better in MA 151.
MA 250 Theory of Interest (3)
Topics include measure of interest (emphasis on
continuous nature), accumulated and present value
factors, annuities, yield rates, sinking funds, and
bonds and related securities. Prerequisite: MA 151.
MA 153 Calculus and Analytic Geometry III (3)
A continuation of Mathematics 152. Multivariable
calculus, vectors in two and three dimensional spaces.
Graphics calculator required. Prerequisite: A grade of
“C” or better in MA 152.
MA 271 Contemporary Actuarial Concepts (1)
Current issues in Actuarial Mathematics with
emphasis on the releases of the Society of Actuaries.
Includes practical application to solving problems of
the type included in the Society of Actuary’s Course P.
Prerequisite: MA 153.
</MA 206 Discrete Mathematics for Computing (3)
Discrete mathematic topics useful in computeraided problem solving. Topics will include Boolean
algebra and computer logic, graphs and trees with
algorithms, and analysis of algorithm complexity.
MA 299 Special Topics in Mathematics (1-6)
Directed study in some area of mathematics at the
lower division level.
MA 301 Linear Algebra (3)
An introduction to the fundamental concepts and
basic computational techniques of linear algebra.
Topics investigated from both a theoretical and
computational perspective include systems of linear
equations, vector spaces, transformations, matrices,
eigenvalues and eigenvectors, and orthogonality.
Prerequisite: MA 152.
MA 310/CM 310 Introduction to Operations
Research (3)
A study of the techniques and topics that are the
foundation of operations research. Topics will include:
linear, integer, and dynamic programming, Queuing
theory and project scheduling. Prerequisites: CM 111
or CM 170, and MA 142 or MA 151, and MA 145 or
MA 301, or consent of instructor.
MA 320 Mathematics for Middle School Teachers
(3)
Overview of the history of mathematics,
numeration systems, discrete processes,
combinatorics, Euclidean and non-Euclidean
geometries. In each of these areas, appropriate
technology and software will be utilized. Topics are
selected from focus areas recommended by national
professional organizations and state curriculum
standards. This class is intended for students working
towards certification to teach middle school
mathematics. Prerequisite: MA 141 and MA 228 or
equivalent, or consent of instructor.
MA 330 Mathematical Models (3)
Mathematical models will be constructed of real
situations in biology, economics, social science, or
engineering. The mathematical results of these
models will be interpreted in the context of the real
situation. Models utilizing graph theory are
emphasized. Prerequisite: MA 207 or consent of
instructor.
MA 343 Applied Statistics (3)
Sampling, concepts of experimental design. Tests
of significance, point and interval estimation, simple
and multiple regression, ANOVA, ANCOVA, nonparametric tests, logistic regression, and quality
control. Emphasis on developing statistical thought,
not just methodology, and on the use of computing
technology. Prerequisite: MA 140 or equivalent, or
consent of instructor.
MA 344 Mathematical Statistics I (3)
Probability, random variables and expectation,
conditional distributions and stochastic independence,
distributions of functions of random variables.
Prerequisites: MA 153 and MA 343.
MA 345 Mathematical Statistics II (3)
An introduction to the theoretical framework of
statistical methods including: point and interval
estimators, large and small sample theories,
hypothesis testing methods, linear statistical models
with emphasis on regression and correlation, nonparametric testing methods, brief introduction to
Bayesian methods for statistical inference.
Prerequisite: MA 344.
MA 346 Regression Analysis (3)
Linear regression and correlation concepts and
methods, multiple regression, curvilinear regression,
applications including use of statistical software.
Prerequisites: MA 140 or MA 343, or consent of
course instructor.
MA 347 Stochastic Processes (3)
Generating functions, normal processes and
covariance stationary processes, Poisson processes,
renewal processes, Markov chains, discrete time
processes. Prerequisites: MA 344.
MA 348 Time Series Analysis (3)
Regression models with time series error,
autocorrelation function, spectral density,
autoregressive and moving average processes, and
seasonal time series; applications including use of
statistical software. Prerequisites: MA 344 and MA
346.
MA 349 Statistical Topics for Actuarial Science (1)
Emphasis on topics in probability and statistics of
special importance to actuarial science students.
Prerequisites: MA 343, MA 344 or concurrent.
MA 354 Abstract Algebra (3)
Algebraic structures of permutation groups, finitely
generated Abelian groups, factor groups, rings and
fields and their substructures. Prerequisites: MA 153
and MA 207, or consent of the instructor.
MA 367 Modern Geometry (3)
This course will focus on the study of geometry as
an axiomatic system. Emphasis will be placed on
conjecture, proof and construction utilizing both
classical tools as well as appropriate technology.
Geometries investigated will include Euclidean, affine,
projective, hyperbolic, and elliptical. A variety of
approaches (synthetic, analytical and transformation)
will be used to investigate the geometries.
Prerequisite: MA 151.
MA 371 Introduction to Real Analysis I (3)
Sets and functions, properties of the real number
system, sequences, limits of functions and continuity
of functions. Prerequisites: MA 153 and MA 207, or
consent of the instructor.
MA 372 Introduction to Real Analysis II (3)
Continuity, differentiation,the Riemann integral,
sequences of functions, and infinite series.
Prerequisite: MA 371.
MA 373 Applied Analysis (3)
The algebra, geometry, and calculus of vectors.
Fourier expansions, the Laplace transformation.
Oriented toward applications in the physical sciences.
Prerequisite: MA 153.
MA 374 Introduction to Complex Variables (3)
Theory of analytic functions, infinite series, Taylor
and Laurent expansions. Prerequisite: MA 153.
MA 376 Numerical Analysis (3)
Solution of algebraic and transcendental equations,
numerical differentiation and integration, numerical
methods in differential equations and linear algebra.
Oriented toward machine computation. Prerequisites:
MA 241 and CM 170.
MA 381 History and Literature of Mathematics (3)
Chronological development of mathematics, with
emphasis on the great mathematicians of yore and
periods of mathematical genius and invention. Topics
include development of numeration systems, algebra,
calculus, proof, Euclidean and non-Euclidean
geometry, graphing technology, and philosophies of
mathematics. Readings from extant and translations
of mathematical text. Prerequisite: MA 151 or consent
of instructor.
MA 385 Actuarial Mathematics (3)
Theory and application of contingency
mathematics in the area of life and health insurance,
annuities and sections from both the probabilistic and
deterministic approaches. Prerequisites: MA 250, MA
344 or consent of instructor.
MA 387 Capstone Experience (2)
Topics in mathematical modeling and other
advanced topics requiring a background in calculus
and linear algebra will be covered. Concurrent
enrollment in MA 388 (Capstone Research) is
required unless permission is granted by the
department Chair. Prerequisites: MA 151, MA 152,
MA 153, MA 301; and a total of 19 or more hours in
mathematics/statistics (MA 151 or above), at least 6
hours of which must have been completed at
Washburn University. Students must have attained
junior or senior standing to enroll in this course.
MA 388 Capstone Research (1 CR/NC)
Students must complete an individual semester
project on a topic in the mathematical sciences under
the guidance of one or more faculty from the
department. The project will require both a written
and an oral component. Concurrent enrollment in MA
387 (Capstone Experience) is required unless
permission is granted by the department Chair.
Prerequisites: MA 151, MA 152, MA 153, MA 301;
and, a total of 19 or more hours in
mathematics/statistics (MA 151 or above), at least 6
hours of which must have been completed at
Washburn University; and, consent of the instructor.
Students must have attained junior or senior standing
to enroll in this course.
MA 390 Seminar (1-3)
Directed study in some advanced area.
Prerequisite: consent of instructor.
MA 400 Internship in Mathematics or Statistics (16)
A work experience in the area of mathematics
and/or statistics performed in cooperation with a
business, industrial, medical or educational institution.
The internship study must provide a learning
experience in the applications of mathematics or
statistics. Prerequisite: Consent of Department Chair.
MA 450 Topics in Mathematics (1-6)
Directed study in some area of mathematics at the
graduate level. Prerequisite: Consent of the instructor.