MINOR
IN MATHEMATICS
|
MATH
261 |
The
Differential and Integral Calculus/4 credits |
|
MATH
262 |
The
Differential and Integral Calculus/4 credits |
|
**Electives:
300-400 level mathematics/6 credits
200-400 level computer science or mathematics/6 credits
TOTAL 20 credits
|
|
**Electives
may not include : |
|
MATH
267 |
Applications
of Calculus/4 credits |
|
MATH
271 |
Applied
Statistics/3 credits |
|
MATH
309 |
Numeration
Systems/3 credits |
|
MATH
310 |
Functions,
Probability, and Statistics/3 credits |
|
MATH
313 |
Geometry
and Reasoning/3 credits |
|
MATH
451 |
The
Teaching of High School Mathematics/3 credits |
|
MATH
482 |
Directed
Teaching in the Secondary School/11 credits |
ALGEBRA
I ENDORSEMENT
Students
who are preparing to teach and who are majoring in fields other than
mathematics may be endorsed to teach mathematics courses through
Algebra I in grades 6 – 12 by taking the courses listed below.
|
MATH
164 |
Precalculus/3
credits |
|
MATH
181 |
Finite
Mathematics/3 credits |
|
or
MATH
343 |
Linear
Algebra/3 credits |
|
MATH
261 |
The
Differential and Integral Calculus/4 credits |
|
or
MATH
267 |
Applications
of Calculus/4 credits |
|
MATH
309 |
Numeration
Systems/3 credits |
|
MATH
310 |
Functions,
Probability, and Statistics/3 credits |
|
MATH
313 |
Geometry
and Reasoning/3 credits |
|
or
MATH
335 |
Advanced
Euclidean Geometry/3 credits |
|
MATH
451 |
The
Teaching of High School Mathematics/3 credits |
|
CMSC
121 |
Introduction
to Computer Science/3 credits |
|
or
CMSC
204 |
Introduction
to Programming/3 credits |
|
TOTAL
25 credits |
MATHEMATICS
COURSE DESCRIPTIONS
General
Education Courses *
Writing Intensive Course **
Mathematics
114.
Mathematics for the Consumer.
An introductory course designed
to acquaint the student with the application of mathematics in the
life of the consumer. Special attention will be given to the algebraic
derivation of formulas, the reduction of real life situations to
mathematical models, and the mathematics employed in banking,
budgeting, credit, taxes, insurance, installment buying, annuities,
stocks, bonds, and mortgages. 3 credits.
Mathematics
121.
Functions and Graphs. A
study of polynomial, rational, exponential, logarithmic and
trigonometric functions with emphasis on graphing techniques,
algebraic and numerical properties and applications. Prerequisite: Two
years of high school algebra or by placement. 3 credits. *
Mathematics
164.
Precalculus. A study of
functions with an emphasis on exponential, logarithmic, and
trigonometric functions in order to prepare the student for calculus.
3 credits.
Mathematics
171.
Statistical Decision Making.
An elementary statistics course designed to show the student how
statistics is used in problem solving and decision making. Topics
include measures of central tendency and variability; elementary
probability concepts; the binomial, normal and Chi-square
distributions, correlation and regression; and hypothesis testing.
Special emphasis is placed upon the proper use of statistics in real
life situations. 3 credits. *
Mathematics
181.
Finite Mathematics. A study
of discrete mathematical structures with applications primarily to
business and economics. Topics will be selected from a review of sets;
linear and quadratic functions; solving systems of linear equations
using Gauss-Jordan elimination; matrix algebra; solutions of
inequalities; linear programming, including the graphical methods and
introduction to the simplex method; introductory probability;
introduction to calculus; and mathematics of finance. 3 credits.
MATHEMATICS
245. History of Mathematics. An introduction to the history
of mathematics concentrating on the period from the Greeks through the
19th century. THe student will learn the historical development of
many mathematical topics taught in middle and high school today. 2
credits.
Mathematics
261, 262.
The Differential and Integral
Calculus. A unified course dealing with the basic ideas of
calculus and analytic geometry. Prerequisite for MATH 262: successful
completion of 261. Students who do not make a C
or better in 261 should have the consent of the chair before enrolling
in 262. 4 credits.
Mathematics
267.
Applications of Calculus. A
course designed for students in Business, Economics, and the Social
and Life Sciences. The techniques of calculus are presented in an
informal approach. Emphasis is on applications of the mathematical
concepts of calculus, e.g., break-even analysis, optimization, spread
of epidemics, population growth models. Credit will not be given in
this course toward the mathematics major. Prerequisite: MATH 164 or
equivalent. 4 credits. *
Mathematics
271.
Applied Statistics. Topics
include measures of central tendency, probability distributions,
measures of dispersion, correlation and linear regression, multiple
linear regression, analysis of variance and covariance. The emphasis
will be on linear modeling techniques to conduct hypothesis tests.
Computer applications will be an integral part of the course.
Knowledge of calculus will not be required. Credit will not be given
toward the mathematics majors. 3 credits.
MATHEMATICS
292.
Internship in
Mathematics. A
semester-long, on-the-job learning experience designed to apply the
principles of mathematics. 1-18
credits.
Mathematics
295.
Special Topics. Selected
topics in mathematics. The topics may vary from semester to semester.
May be repeated for credit when topics change. 1-3 credits.
Mathematics
300.
A Transition to Advanced
Mathematics. An introduction to rigorous mathematical proof with
focus on the properties of the real number system. Topics include
elementary symbolic logic, mathematical induction, algebra of sets,
relations, countability, algebraic and completeness properties of the
reals. 3 credits. **
Mathematics
309.
Numeration Systems.
A study of different
numeration systems. The development and characteristics of ancient
numeration systems, base numeration systems and the real number system
will be studied. Problem solving is emphasized. 3 credits.
Mathematics
310.
Functions, Probability and
Statistics. Examines functions, probability and statistics in the
context of real life situations and will include student
investigations and hands on activities. Prerequisite:
MATH 309 and proficiency in computer spreadsheets, or
permission of instructor. 3
credits.
MATHEMATICS
311-312.
Studies Abroad.
Primarily intended for transfer of credit earned abroad in
courses in mathematics. 1-18
credits.
Mathematics
313.
Geometry and Reasoning. A
basic study of polygons,
polyhedra, measurement, transformational geometry, coordinate
geometry, descriptive statistics, graphical methods and empirical and
theoretical probabilities and their uses. 3 credits.
Mathematics
330
(SCIENCE
330).
Integration of Mathematics and
Science Principles. An
inquiry into basic principles involved in the study of mathematics and
science. Emphasis on measurement, use of manipulatives, inference,
prediction, data analysis, and hypothesizing. For Liberal Studies
Majors only. Students are required to take SCED 330 concurrently with
this course. 1.5 credits each.
Mathematics
335.
Advanced Euclidean Geometry.
A study of Euclidean geometry from a more advanced viewpoint. The
methods and techniques of synthetic axiomatic geometry will be
stressed through a study of logic and formal proof, constructions,
higher Euclidean geometry, finite geometries, and non-Euclidean
geometries. Prerequisite/corequisite: MATH 261. 3 credits.
Mathematics
336.
Survey of Modern Geometries.
A study designed to widen and enlarge the horizons of the students
through an examination of some of the geometric developments since the
time of Euclid. The characteristics and interrelatedness of various
geometries--topological, projective, affine, similarity, Euclidean,
non-Euclidean and inversion--will be briefly examined through
transformations. Prerequisite: MATH 300. 3 credits.
Mathematics
342.
Introduction to Modern Algebra.
Sets and mappings, integers, general algebraic systems, groups, rings,
and fields. Prerequisite: MATH 300. 3 credits.
Mathematics
343.
Linear Algebra. A basic
study of vector spaces, linear transformations, and their
relationships to matrix algebra. Also included are determinants,
isomorphism theorems, linear functionals, and dual spaces.
Prerequisite: MATH 262 or consent of department chair. 3 credits.
Mathematics
345.
Number Theory. An
introductory course in additive and multiplicative number theory.
Included are topics such as: divisibility, prime numbers, congruences,
residue systems, linear and quadratic congruences, Diophantine
equations, quadratic residues, and number theoretic functions.
Prerequisite/corequisite: MATH 342 or consent of instructor. 3
credits.
Mathematics
350
(COMPUTER SCIENCE 350).
Ethical Issues in Mathematics
and Computer Science. Consideration of ethical implications of
mathematics and computer science in society. Overview of ethical
theory; case studies of situations illustrating ethical dilemmas. A
knowledge of calculus and algorithms will be assumed. 1 credit. *
Mathematics
351.
Introduction to Topology.
Topological spaces, continuous mappings, homeomorphisms, compactness,
connectedness, metric spaces, and other selected topics in point set
topology. Prerequisite: MATH 361. 3 credits.
Mathematics
361.
Calculus III. Advanced
topics in calculus not considered in MATH 261, 262. Prerequisite: MATH
262. Students who do not make C
or better in 262 should have consent of the chair before enrolling. 4
credits.
Mathematics
371.
Introduction to Probability and
Statistics. Theory of probability; expected values of random
variables; discrete and continuous probability distributions.
Prerequisite: MATH 361. 3 credits.
MATHEMATICS
482. Directed
Teaching in the Secondary School. This course is required of all
students seeking Secondary Teaching Licensure in Mathematics. Each
student is assigned to work with a qualified cooperating teacher in a
selected school setting. The student teacher will follow the schedule
of the cooperating teacher. Prerequisite: Completion of all methods
courses and a minimum cumulative GPA of 2.5. 11 credits.
MATHEMATICS
390.
Directed Study in
Mathematics. Individualized
study; recommended only when material cannot be studied through
existing course offerings. Must
have permission of department chair.
1-3 credits. May
be repeated as 391, etc.; no more than 6 credits.
MATHEMATICS
392.
Internship in Mathematics.
A semester-long, on-the-job learning experience designed to
apply the principles of mathematics.
1-18 credits.
Mathematics
405.
Numerical Analysis. An
investigation of numerical techniques of approximation, matrix
computations, integration, and differentiation with emphasis on the
solution of non-linear equations, linear systems and differential
equations. The course will require use of the computer. Attention will
be given to the problems of rounding error, conditioning, and
stability. Prerequisite: MATH 343, 361 and CMSC 204 or equivalent. 3
credits.
Mathematics
435 (COMPUTER SCIENCE 435).
Queuing Theory and Simulation.
A course covering the basic mathematics of queuing systems and the
principles of the computer simulation of queuing systems. Topics
include M/M1, M/G/1, and G/M/1 queues, La-place and z-transforms,
priority queuing, and basic computer simulation techniques.
Prerequisite: CMSC 204 or equivalent, MATH 371.
3 credits.
Mathematics
451.
The Teaching of High School
Mathematics. A study of current practices in high school
mathematics teaching with emphasis on principles, techniques, and
materials. Required for those planning to teach high school
mathematics. 3 credits.
Mathematics
460.
Differential Equations.
Primarily a study of ordinary differential equations of the first and
second order with application to elementary work in mechanics and
physics. Prerequisite: MATH 361. 3 credits.
Mathematics
461.
Senior
Seminar.
A capstone course for the mathematics major focusing on a historical
perspective. Emphasis
will be on problem solving, connections between various branches of
mathematics, and the historical development of mathematical
structures. In addition,
students will be expected to research and present mathematical topics
not covered in other courses. Prerequisite:
Mathematics Major and Senior Status. 3 credits. **
Mathematics
462.
Advanced Calculus. A
theoretical approach to the study of limits, continuity,
differentials, derivatives, and integrals. Development of the real
number system, elementary point set theory, functions of several
variables, infinite series, and power series. Prerequisite: MATH 300,
361. 3 credits.
Mathematics
472.
Introduction to Mathematical
Statistics. Distribution of functions of random variables; moments
and moment generating functions; T, F and Chi-square distributions;
limiting distributions; interval estimation; tests of hypotheses; the
Central Limit Theorem; regression analysis; ANOVA. Prerequisite: MATH
361 and 371. 3 credits.
Mathematics
481.
Complex Analysis. An
introduction to the fundamental concepts of complex analysis,
including the complex plane, holomorphic functions, the exponential
function, Cauchy integral formula, Taylor series, Laurent series,
conformal maps, the notion of residues and some applications in
physics. Prerequisite: MATH 361. 3 credits.
Mathematics
490.
Directed Study in Mathematics.
Individualized study; recommended only when material cannot be studied
through existing course offerings. Must have permission of department
chair. 1-3 credits. May be repeated for no more than 6 credits.
mathematics
492.
Internship
in Mathematics.
A semester-long, on-the-job learning experience designed to
apply the principles of mathematics.
1-18 credits.
Mathematics
495.
Special Topics in Mathematics.
Selected topics in mathematics. The topics may vary from semester to
semester. May be repeated for credit when topics change. 1-3 credits.
MATHEMATICS
498.
Honors Research in
Mathematics. Students
conduct research in mathematics under the direction of a faculty
member and the Senior Honors Research Committee.
May be repeated as 499. 3
credits.
For
Graduates and
Advanced
Undergraduates
Mathematics
513.
The Teaching of Probability and
Statistics. This course is designed especially for teachers and
will use an experiential, informal, activity-based approach. There
will be hands-on activities and experiments relating empirical and
theoretical probabilities. Quick descriptive statistics and new
graphical methods will be presented. These techniques are useful in
describing, comparing, exploring and interpreting sets of data. There
will also be intuitive ideas from inferential statistics. 3 credits.
Mathematics
595.
Special Topics in Mathematics.
1-3 credits. Selected topics in mathematics. The topics may vary from
semester to semester. May be repeated for credit when topics change.
1-3 credits.
COMPUTER
SCIENCE PROGRAM
Faculty
John
E. Arehart, Ed.D., Associate
Professor of Computer Science and Mathematics
Stanley J. McCaslin, M.S.,
Lecturer in Computer Science
Jeffery H. Peden, Ph.D., Associate
Professor of Computer Science
Robert P. Webber, Ph.D., Professor
of Mathematics and Computer Science
While
every attempt is made to state the requirements and concentrations
available in the department as succinctly as possible, it is
recommended that every student majoring or minoring in the department
continue in close communication with the academic advisor assigned by
the department in order to plan the program best suited to individual
needs and goals.
Students desiring a minor in computer
science must successfully complete the appropriate program described
below, and must see the Chair of the Department of Mathematics and
Computer Science to officially declare a minor in this field.
COMPUTER
SCIENCE MAJOR, B.A., B.S. DEGREE
|
CMSC 204 |
Introduction
to Programming/3 credits |
|
CMSC
206 |
Data
Structures in Advanced Programming/3 credits |
|
CMSC
300 |
Discrete
Mathematics for Computer Science/3 credits |
|
CMSC
301 |
Computer
Organization and Assembler Language Programming/3 credits
|
|
CMSC
306 |
Computer
Organization/3 credits |
|
CMSC
308 |
Organization
of Programming Languages/3 credits |
|
CMSC
310 |
Introduction
to Operating Systems and Computer Architecture/3 credits
|
|
CMSC
316 |
Object-Oriented
Programming/3 credits |
|
CMSC
360 |
Computer
Network Theory/3 credits |
|
CMSC
362 |
Theory
of Databases/3 credits |
|
CMSC
461 |
Seminar
in Computer Science/3 credits |
|
ENGL
214 |
Technical
Writing/3 credits |
|
MATH
261 |
The
Differential and Integral Calculus/4 credits |
|
MATH
262 |
The
Differential and Integral Calculus/4 credits |
|
MATH
271 |
Applied
Statistics/3 credits |
|
Options.
(Choose one)
Option One 12 credits
Four courses, one of which must be any mathematics or
computer science course at the 200 level or above, and the
remaining three of which must be any computer science
courses at the 300 level or above.
|
|
Option
Two 35 credits
Secondary Teaching Endorsement, grades 6-12
See professional education requirements:
Secondary
Education Program
Add-On
Endorsements
Additional endorsement requirement:
MATH 451 ,
The Teaching of High School Mathematics, 3 credits.
|
|
MATH
300 may be substituted for CMSC 300. Both may be taken for
credit.
|
| D. |
General
Electives Non-Teaching Majors: B.A./B.S. degree with
Option One -
18/19 |
| E. |
Total
Credits Required for B.A. or B.S. degree -
120
Total Credits Required for B.A. or B.S. degree with
Secondary Teaching Endorsement -
124/125 |
MINOR
IN COMPUTER SCIENCE
A
minor in computer science shall consist of 18 credit hours of computer
science courses, at least 12 hours of which must be at the 300 or 400
level.
COMPUTER
SCIENCE COURSE DESCRIPTIONS
General
Education *
Writing Intensive Course **
Computer
Science 121.
Introduction to Computer
Science. An introduction to computer science for non-specialists.
Basic computer architecture and design, storage formats, principles of
computer operation, and algorithms. Application software that
emphasizes the computer as a tool. 3 credits. *
Computer
Science 201.
Beginning
COBOL.
An introduction to programming in a business-oriented language (COBOL)
with emphasis on commercial applications and elementary concepts of
file processing. 3
credits.
Computer
Science 204.
Introduction to Programming.
An introductory course in computer science emphasizing programming and
algorithm development. Topics will include basic language structures,
assignment, iteration, control flow, language and programmer defined
variable types, and basic data manipulation models. 3 credits.
Computer
Science 206.
Data Structures in Advanced
Programming. A one-semester course in advanced programming
utilizing data structures and models. The course emphasizes advanced
programming techniques in the manipulation of data structures.
Prerequisite: CMSC 204. 3 credits.
Computer
Science 215.
Introduction to Fortran. An
overview of the FORTRAN programming language, with emphasis on
applications to mathematics and science. Prerequisites: knowledge of
another computer language. 3 credits.
Computer
Science 290.
Self Study in Programming.
Independent study of a specific programming language, its syntax and
applications, based on prior study of programming languages in
general. May not duplicate other language courses. Must be arranged
with an instructor and approved by department chair before
registering. May be repeated for credit with different languages.
Prerequisite: CMSC 206. 1 credit.
COMPUTER
SCIENCE 292.
Internship in Computer
Science. A
semester-long, on-the-job learning experience designed to apply the
principles of computer science. 1-18
credits.
Computer
Science 295.
Special Topics. Selected
topics in computer science. The topics may vary from semester to
semester. May be repeated for credit when topics change. 1-3 credits.
Computer
Science 300.
Discrete Mathematics for
Computer Science. Topics in discrete mathematics used in computer
science, including methods of proof, graphs, computability, and formal
grammars. Prerequisites: CMSC 204 or 206. 3 credits.
Computer
Science 301.
Computer Organization and
Assembler Language Programming. Assembler language programming;
addressing techniques; internal storage structure; machine-level
representation of instructions and data; sub-routines. Prerequisites:
Computer Science 206 or consent of instructor. Fall only; 3 credits.
Computer
Science 302.
Data Abstraction Programming.
A one-semester course in advanced programming utilizing the data
abstraction programming paradigm. The course emphasizes advanced
programming techniques used in the design, definition, and
manipulation of abstract data types. Prerequisites: CMSC 206 (or
equivalent) using a language of instruction other than C++ and CMSC
315 (or equivalent). Note: This course may not be taken for credit if
credit has been received for CMSC 206 (or equivalent) using C++ as the
language of instruction. 3 credits.
Computer
Science 306.
Computer Organization. The
organization and structuring of the major hardware components of
computers; the mechanics of information transfer and control within a
computer system; standard computer architectures; the fundamentals of
logic design. Prerequisite: CMSC 301. 3 credits.
Computer
Science 308.
Organization of Programming
Languages. Topics include language and definition structure, data
types and structures, control structures and data flow, run-time
characteristics and lexical analysis and parsing. Programming
assignments will involve the use of several different languages.
Prerequisite: CMSC 206 or permission of instructor. 3 credits. **
Computer
Science 310.
Introduction to Operating
Systems and Computer Architecture. Emphasis will be placed on
concepts rather than case studies and on the interdependence of
operating systems and architecture. Topics include instruction sets,
I/O and interrupt structure, addressing schemes, microprogramming,
memory management and recovery procedures. Prerequisite: CMSC 301. 3
credits.
COMPUTER
SCIENCE 311,312.
Studies Abroad.
Primarily intended for transfer of credit earned abroad in
courses in computer science. 1-18
credits.
Computer
Science 316.
Object-Oriented Programming.
A course in the techniques of object-oriented programming in an
object-oriented programming language. Topics covered include
inheritance, function and operator overloading, object construction,
visibility, information hiding, and multiple inheritance.
Prerequisite: CMSC 206. 3 credits.
Computer
Science 350.
(MATHEMATICS 350).
Ethical Issues in Mathematics
and Computer Science. Consideration of ethical implications of
mathematics and computer science in society. Overview of ethical
theory; case studies of situations illustrating ethical dilemmas. A
knowledge of calculus and algorithms will be assumed. 1 credit. *
Computer
Science 360.
Computer Network Theory. A
course covering the theory and design of modern computer networks.
Topics include local and wide area networks, the OSI network model,
basic network performance analysis, and real time networks.
Prerequisite: CMSC 206. 3 credits.
Computer
Science 362.
Theory of Databases. A
course covering the theory and practice of modern databases design and
implementation. Topics include relational and hierarchical database
design, database query languages, update consistency, and distributed
databases. Prerequisite: CMSC 206. 3 credits. **
Computer
Science 389.
Artificial Intelligence. An
advanced theory and programming course covering the theory and
techniques of artificial intelligence. Topics covered include computer
vision, game playing, min-max algorithms, and an introduction to the
LISP programming language. Prerequisite: CMSC 206. 3 credits.
COMPUTER
SCIENCE 390.
Directed Study in
Computer Science. Individualized
study; recommended only when material cannot be studied through
existing course offerings. Must
have permission of department chair.
1-3 credits. May
be repeated as CMSC 391, etc.; no more than 6 credits.
COMPUTER
SCIENCE 392.
Internship in Computer
Science. A
semester-long, on-the-job learning experience designed to apply the
principles of computer science. 1-18
credits.
Computer
Science 408.
Ada and Software Engineering.
Syntax and semantics of the Ada programming language. Principles of
Software Engineering. Prerequisites: CMSC 204 or 206. 3 credits.
Computer
Science 415.
Theory of Computation. The
basic theories underlying computer science, such as language and
automata theory, and the computability of functions. Emphasis is
placed on the development of theoretical machine and language
descriptions. Prerequisite: CMSC 300. 3 credits.
Computer
Science 435 (MathEMATICS 435)
Queuing
Theory and Simulation.
A course covering the basic mathematics of queuing systems and the
principles of the computer simulation of queuing systems. Topics
include M/M1, M/G/1, and G/M/1 queues, Laplace and z-transforms,
priority queuing, and basic computer simulation techniques.
Prerequisite: CMSC 204 or equivalent, MATH 371. 3 credits.
Computer
Science 445.
Compiler Design.
A course covering the basic theory and techniques of compiler
and code translation systems. Topics include lexical analysis,
parsing, and code generation, and the various techniques used when
handling differing source language classes. A programming intensive
course. Also covered are the techniques of top-down and bottom-up
parsing. Prerequisite: CMSC 300. 3 credits.
Computer
Science 452.
Computers in Education. A
survey of programming languages, software, and hardware commonly found
in an educational setting. Prerequisite: CMSC 121 or consent of
instructor. 3 credits.
Computer
Science 461.
Seminar in Computer Science.
Students will work individually and in teams on the development,
implementation, and maintenance of a large software project. This
course is the capstone experience in the computer science major. A
segment on assessment will be included. Corequisite: Satisfaction of
all other requirements for the computer science major or consent of
instructor. 3 credits.
Computer
Science 490.
Directed Study in Computer
Science. Individualized study; recommended only when material
cannot be studied through existing course offerings. Must have
permission of department chair. 1-3 credits. May be repeated for no
more than 6 credits.
COMPUTER
SCIENCE 492.
Internship in Computer
Science. A
semester-long on-the-job learning experience designed to apply the
principles of computer science. 1-18
credits.
Computer
Science 495.
Special Topics. Selected topics in computer science. The topics may
vary from semester to semester. May be repeated for credit when topics
change. 1-3 credits.
COMPUTER
SCIENCE 498.
Honors Research in
Computer Science. Students
conduct research in computer science under the direction of a faculty
member and the Senior Honors Research Committee.
May be repeated as 499. 3
credits.
For
Graduates and
Advanced
Undergraduates
Computer
Science 505.
Computers in Mathematics
Education. Techniques
and existing programs in computer-assisted instruction,
computer-managed instruction, simulation and modeling. Offered on
demand. 3 credits.
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