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Georgetown College Links
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Note to students: To graduate in four years, students must begin coursework in math, physics, and/or computer science as soon as possible; it is preferable to begin freshman year. Students interested in engineering should see Dr. David Bowman during the first week of class during their freshman year; the pre-engineering curriculum is very tightly scheduled. COMPUTER SCIENCE, INFORMATION SYSTEMS Major-minor forms signed by Prof. Crawley. (8098) ENGINEERING Major-minor forms signed by Dr. Bowman. (8094) PHYSICS Major-minor forms signed by Dr. Bowman. (8094) MATHEMATICS Major-minor forms signed by Dr. Harris.(7921) If any of these coordinators are on sabbatical, Dr. Leverenz (8097) can sign the major-minor form. MATHEMATICS- (MAT)
CURRICULUM CHANGE: Effective school year 2006-2007, the calculus
sequence is changed from MAT{121,122,221,321} to MAT{125,225,325} with
corresponding changes to the majors and minor. In the following descriptions,
the pre-2006-2007 version is written in gray
and the new (starting in 2006-2007) version is written in
blue.
Each version is also annotated with tags
Major
(B.S. degree)
<< Pre-2006-2007 >>
A minimum of thirty-three hours in mathematics including MAT
121, 122, 221, 301, 310, 322, 415, 431, and 432. The remaining six hours may be
chosen from courses numbered above 221. Total hours required: 33. (Secondary
education mathematics majors are required to include MAT 331 and 335 in the
major course selections and to have taken one of: CSC Minor << Pre-2006-2007 >> A middle grades mathematics major requires MAT103, 104, 121, 122, 201, 221, 301, 335 and 3 additional hours above MAT221. Total hours required: 27. Students with strong backgrounds in mathematics will be placed at course levels commensurate with demonstrated ability. 103. Mathematics for Elementary School Teachers I. (3 hours) A detailed development of the mathematics taught in elementary school using a problem-solving approach. Topics include sets, numeration, and the real numbering system. For elementary education and middle grades mathematics certification students only. Fall 104. Mathematics for Elementary School Teachers II. (3 hours) A continuation of Mathematics 103. Topics include further development of the real number system, informal geometry, probability and statistics. For elementary education and middle grades mathematics certification students only. Prerequisite: MAT 103. Spring 107. College Algebra. (3 hours ) A survey of algebraic techniques and functions. Topics include theory of equations and inequalities, graphs, transformations of functions, inverse functions, and exponential and logarithmic functions. Can be used as preparation for calculus. (Not applicable to a major or minor in mathematics.) Fall and Spring 109. Calculus for Business and the Social Sciences. (3 hours) An introductory survey of calculus, less theoretical in nature than MAT121. Topics include derivatives of algebraic, exponential, and logarithmic functions, the definite integral and applications to business and the social sciences. Prerequisite: none, but MAT 107 recommended for students with weak backgrounds. Not applicable to a major or minor in mathematics. Fall and Spring 111. Elementary Probability and Statistics. (3 hours) An introductory study of statistics and basic probability theory including such topics as frequency distributions, measures, central tendency, variation, normal distribution and tests of hypothesis. (Not applicable to major or minor in mathematics. ) Fall and Spring
121. Differential Calculus. (3 hours)
<< Pre-2006-2007 >>
An introductory study of the
derivative and its applications. Topics include limits, continuity,
techniques of differentiation, and optimization. Prerequisite: MAT 107 or high
school precalculus and knowledge of trigonometric functions. Fall and
Spring
122. Integral Calculus. (3 hours) << Pre-2006-2007 >> An introductory study of the integral. Topics include the Fundamental Theorem of Calculus, techniques of integration, and applications of the definite integral. Prerequisite: MAT 121 or one year of high school calculus. Fall and Spring 170 Special topics in Mathematics (.5 - 3 hours)
221. Multivariable Calculus I. (3 hours)
<< Pre-2006-2007 >>
A continuation of single-variable
calculus and the differential calculus of multivariable functions. Topics
include infinite series, parametric equations, vectors, alternate coordinate
systems, and Lagrange multipliers. Prerequisite: MAT 122. Fall and Spring
301. Discrete Mathematics. (3 hours) An introduction to fundamental theoretical concepts of mathematics and of mathematics in computer science. Topics include logic, techniques of proof, elementary set theory, mathematical induction, numeration systems, relations and functions, counting techniques, and Boolean algebra. Prerequisite: MAT 107 or its equivalent. Fall and Spring 310. Linear Algebra. (3 hours) A theoretical study of systems of linear equations and vector spaces. Topics include matrix algebra, linear transformations, eigenvalues and eigenvectors, determinants, and linear programming. Corequisite: MAT 221; Prerequisite: MAT 301. Spring
322. Multivariable Calculus II. (3 hours)
<< Pre-2006-2007 >>
The integral calculus of
multivariable functions and the vector calculus. Topics include vector-valued
functions, multiple integration, and line and surface integrals.
Prerequisite MAT 221. Spring
331. Probability Theory. (3 hours) A study of chance phenomena and probability distribution. Topics include probability and elementary combinatorics, random variables, mean and variance, discrete and continuous probability distributions, the Central Limit Theorem, and laws of large numbers. Prerequisite: MAT 221. Even Falls 332. Mathematical Statistics. (3 hours) A study of statistical methods and test. Topics include estimation of parameters, test of hypothesis, linear regression, and analysis of variance. Prerequisite: MAT 331. Odd Springs 335. Advanced Geometry. (3 hours) Axiomatic development of elementary geometry, non-Euclidean geometry, impossible construction, projective geometry. Prerequisite: MAT 121 and 301. Odd Falls 345. Ordinary Differential Equations. (3 hours) A study of solution methods and applications of differential equations. Topics include first order equations, higher order linear equations, the Laplace transform, and power series techniques. Corequisite: MAT 322. Spring 405. Complex Analysis. ( 3 hours ) An introduction to the study of functions of one complex variable. Topics include algebra of complex numbers, analytic functions, contour integrals, power series, the Residue Theorem, and conformal mappings. Corequisite: MAT 322. Odd Spring 415. Abstract Algebra. (3 hours) A theoretical development of basic algebraic structures, with an emphasis on group theory. Topics include cyclic groups, Lagrange's theorem, quotient groups, and homomorphisms. Rings, integral domains, and fields are introduced. Prerequisite: MAT 122 and 301. Even Falls 431. Real Analysis I. (3 hours) A theoretical development of the elements of calculus. Topics include sequences, continuity, derivatives and integrals of single-variable functions. Corequisite: MAT 221; Prerequisite: MAT 301. Odd Falls 432. Real Analysis II. (3 hours) A continuation of Mathematics 431. Topics include integration theory, infinite series and sequence of functions. Prerequisite MAT 431. Even Springs 440. Independent Study. (1 to 3 hours) 470 Advanced Topics. (1 to 3 hours) Associate Professor Bowman (Coordinator) Major Minor 100.
Liberal Arts Physics. (3 hours ) An introduction to physics using a minimum of
mathematics. The content will include motion, inertia, forces, energy, matter,
heat, electricity, optics, and nuclear physics. A laboratory of elementary
experiments and hands-on, cooperative learning experiences will be integrated
into the course. Fall 103.
Astronomy. (3 hours) Covers the earth, moon, planets, sun, stars, galaxy,
universe; occasional use of the planetarium. No laboratory. Fall 109.
Elementary Meteorology. (3 hours) Atmospheric structure, measurements, energy,
and motions; climate; weather forecasting; application. Mathematics requirements
will be kept at a minimum. No laboratory. Spring 111-112.
General Physics I and II. (4 hours each) Introductory course for college
students. First term: mechanics,
heat, and thermodynamics, sound and waves. Second term: electricity, magnetism,
optics, modern physics. Laboratory. Prerequisite: MAT 107 or equivalent
background. Fall and Spring 241.
Engineering Physics. (2 hours) Supplements Physics 111-112. Selected topics in
mechanics, thermodynamics, electricity , magnetism, optics, and modern physics
with the application of calculus in physics. May be taken concurrently with
Physics 112. Prerequisite: MAT 121 and 122 (which may be taken concurrently).
Spring 260.
Engineering Preceptorship. (1 hour) On site supervised experience in the
engineering sciences, observing and working with practicing engineers in the
field. Pass/fail grading. 301.
Electronics. (3 hours) A.C. circuits; D.C. circuits; basic devices; basic
instruments. Laboratory. Prerequisites: PHY 111, 112 or approval of instructor.
Odd Springs 313.
Thermal Physics. (3 hours) Basic principles of thermal and statistical physics;
laws of thermodynamics; equilibrium and irreversibility; cyclic processes;
ensembles; thermodynamic potentials; canonical distribution; equipartition
theorem; Maxwell distribution; phase changes; applications. Prerequisites: PHY
112, 241, and MAT 221. (The latter course may be taken concurrently.) Fall 317.
Statics. (3 hours) Application of the conditions of equilibrium to two and three
dimensional systems; trusses, frames and beams; friction; shear and ending
moment diagrams; centroids, centers of gravity, area and mass moments of inertia,
vectors. Prerequisite: PHY 111 and MAT 122. Fall 318.
Dynamics. (3 hours) Kinematics and kinetics of particles and rigid bodies;
work-energy method; impulse and momentum; harmonic motion; two body problem.
Prerequisite: PHY 317. Spring 343.
Relativity and Modern Physics. (3 hours) Special relativity, introduction to
general relativity, introduction to quantum physics, hydrogen atom and complex
atoms, atomic spectra, topics in nuclear and solid-state physics. Prequisites:
PHY 111 and 112. Co-requisite: PHY 241. Fall 401.
Advanced Experimental Physics. (3 hours) Selected experiments in mechanics,
heat, physical optics, electricity and magnetism, solid state, atomic and
nuclear physics, and lasers. Prerequisites:
PHY 111 and 112. Even Springs 440.
Independent Study. (1,2, or 3 hours) 450.
Seminar. (1 hour) May be taken as many as three times. One formal presentation
of current interest must be completed. Visiting scientists will constitute a
portion of this course. 471.
Topics in Classical Physics. (1, 2, or 3 hours) COMPUTER SCIENCE (CSC) Major
in Information Systems
(B.A. Degree) Twenty-seven hours in Computer Science including CSC 115, 125, 215, 304, 315, 350, 405, 450 and six additional hours in Computer Science numbered 300 or above; 15 hours of allied courses including MAT 111, 301; and at least nine hours selected from ART 234, 334, 435; BUA 210, 211, 300; ECO 221, 223, 304; PHI 151, 325; six hours of which must be chosen from one department.
Only one hour of CSC 270 may count towards the major.
Total hours required: 42 Major in Computer Science
(B.S. Degree) Thirty-three hours in Computer Science including CSC 115, 125, 215, 304, 312, 315, 350, and 450; at least 3 hours chosen from CSC 430 or 435; and nine additional hours chosen from CSC 270, 405, 420, 430 or 435, 440, or 470; fifteen hours of allied courses including MAT 125, 225, 301, 310, 325.
Only one hour of CSC 270 may count towards the major.
Total hours required: 4 Minor in Computer Science Eighteen hours in Computer Science including CSC 115, 125, 215, 304, and eight additional hours numbered 300 or above; one three-hour allied course, MAT 301. Total hours required: 21. Management Information Systems (MIS) Interdisciplinary Major (B.S.
degree) Twenty seven-hours in the department of Business Administration and
Economics including ECO 221, 223, BUA 210, 211, 300, 335, 353, 357, and three
hours from the following: BUA 318,
326, 336, 367; and twenty-four hours in Computer Science including CSC 115,
125, 215, 304, 350, 405, 450 and a choice of six hours from the following:
CSC 430 or 312; plus nine additional hours consisting of MAT 111, 301 and
three hours from the following: MAT
109 or 125. Only one hour of CSC
270 may count towards the major. Total
hours required: 60 CSC 107
can be used as the mathematics general education requirement. A
prerequisite must be taken before the course; a corequisite may be taken
concurrently with a course. 107. Introduction to Computer Science (3 hours) An introduction to computer science including introductory programming in a high level language, mathematics and computing, and the role and issues of computing in society. Fall and Spring 115.
Computer Science I (3 hours) Developing algorithms to solve problems and
using the computer as a tool to implement algorithms.
Study of a modern programming language and the paradigm it represents.
Topics such as control structures, functions, pointers, sorting and
searching. Fall and Spring 125. Computer Science I Lab ( 1 hour) Laboratory experience for CSC 115 consisting of a mixture of specific assignments and supervised open-ended exploration of topics covered in CSC 115. Concurrent: 115. Fall and Spring 215. Computer Science II (3 hours) Introduction to data structures such as linked lists, stacks, queues, trees, more general graphs and heaps using static and dynamic representations. Use of multi-dimensional arrays and recursion. Prerequisite: CSC 115, 125. Fall and Spring 270. Topics in Programming (1 hour) An opportunity for students to explore programming languages and programming methods not covered in regular courses. Only one hour of CSC 270 may be counted towards a major or minor. Prerequisite: CSC 215 and consent of instructor. 304. Design and Analysis of Algorithms (3 hours) Study of algorithms such as advanced searching and sorting algorithms, graph and numerical algorithms, hashing, pattern matching, and others. Complexity and recursion. Prerequisite: CSC 215 and MAT 301.312. Computer Organization and Architecture (3 hours) Principles of computer organization and architecture. Topics include: number representation; assembly language for an exemplary digital processor; and elements of digital design including gate level combinational logic. Prerequisite: MAT 301 and CSC 115. Fall. 315. Advanced Programming (3 hours) Study of and experience with larger programming efforts. Topics such as event-driven programming, including programs with graphic user interfaces, and building static and dynamic libraries. Prerequisite: CSC 215. Fall. 350. Perspectives on Computing (2 hours) History of technical development of modern computers combined with reflection on the interaction of technical capabilities and social issues. The role and codes of conduct and ethics of various professional bodies. Prerequisite: Junior standing in CSC, IS, MIS. Spring. 405. Database Management. (3 hours) Concepts and structures necessary to design and implement a database system, including file and data organization, data models and a study of a specific database management system. Prerequisite: CSC 215. Odd falls. 420.
Programming
Language Design and Implementation.
(3 hours) A study of the concepts
involved in the design and use of high level programming languages, including
recursion, list and string processing and multi-programming.
Introduction to a number of important languages.
Prerequisite: CSC 215. Even
springs.
430.
Systems Programming. (3 hours) Emphasis on the study of modern operating
systems and systems programming, with some coverage of networks and network
programming. Topics may include
process scheduling, memory management, shells, input/output, and communication
protocols. Prerequisite:
CSC 304 or consent of instructor. 435. Theory and Construction of Compilers. (3 hours) A study of ideas and techniques involved in the writing of a compiler for a high level language, including grammars, finite state machines, to-down and bottom-up parsing, and symbol tables. Prerequisite: CSC 215. Odd springs. 450. Software Engineering Seminar 3 Senior capstone course in computing. Concepts and methods of software engineering and systems analysis. Semester long project. Prerequisite: Senior standing and for CSC majors – CSC 430 or 435, for IS and MIS majors – CSC 405. Spring. 440. Independent Study (1 – 3 hours) 470. Topics in Computer Science (1 – 3 hours) Dr. Bowman (Coordinator) In all cases Dual-Degree students must: Students matriculating to the University of Kentucky are
automatically admitted to preengineering Students planning to finish at the University of
Kentucky must take the following courses University of Kentucky College of Engineering (All) University of Kentucky Agricultural Engineering University of Kentucky Chemical Engineering University of Kentucky Civil Engineering University of Kentucky Electrical Engineering University of Kentucky Mechanical Engineering Depending upon the particular engineering program chosen
by the student at the Links to subject areas http://www.programmersheaven.com/ www.aip.org/statistics/trends/phystrends.htm www.aip.org/statistics/trends/states/state.htm
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