Undergraduate Bulletin - Illinois Institute of Technology
Undergraduate Bulletin - Illinois Institute of Technology Undergraduate Bulletin - Illinois Institute of Technology
Course Descriptions MATH 454 Graph Theory & Applications Graph theory is the study of systems of points with some of the pairs of points joined by lines. Sample topics include: paths, cycles and trees; adjacency and connectivity; directed graphs; Hamiltonian and Eulerian graphs and digraphs; intersection graphs. Applications to the sciences (computer, life, physical, social) and engineering will be introduced throughout the course. Credit will not be granted for both MATH 454 and MATH 553 Prerequisite(s): [(MATH 230 and MATH 251) OR (MATH 230 and MATH 252)] (3-0-3) (C) MATH 461 Fourier Series & Boundary-Value Problems Fourier series and integrals. The Laplace, heat, and wave equations: Solutions by separation of variables. D’Alembert’s solution of the wave equation. Boundary-value problems. Prerequisite(s): [(MATH 251 and MATH 252)] (3-0-3) MATH 474 Probability & Statistics Elementary probability theory including discrete and continuous distributions, sampling, estimation, confidence intervals, hypothesis testing, and linear regression. Credit not granted for both MATH 474 and MATH 475. Course does not satisfy graduation requirements for Applied Mathematics majors. Prerequisite(s): [(MATH 251)] (3-0-3) MATH 475 Probability Elementary probability theory; combinatorics; random variables; discrete and continuous distributions; joint distributions and moments; transformations and convolution; basic theorems; simulation. Credit not granted for both MATH 474 and MATH 475. Prerequisite(s): [(MATH 251)] (3-0-3) MATH 476 Statistics Estimation theory; hypothesis tests; confidence intervals; goodness-of-fit tests; correlation and linear regression; analysis of variance; nonparametric methods. Prerequisite(s): [(MATH 475)] (3-0-3) (C) MATH 477 Numerical Linear Algebra Fundamentals of matrix theory; least squares problems; computer arithmetic; conditioning and stability; direct and iterative methods for linear systems; eigenvalue problems. Credit may not be granted for both MATH 477 and MATH 577. Prerequisite(s): [(MATH 350)] (3-0-3) MATH 478 Numerical Methods for Differential Equations Polynomial interpolation; numerical integration; numerical solution of initial value problems for ordinary differential equations by single and multi-step methods, Runge-Kutta, Predictor-Corrector; numerical solution of boundary value problems for ordinary differential equations by shooting method, finite differences and spectral methods. Credit may not be granted for both MATH 478 and MATH 578. Prerequisite(s): [(MATH 350)] (3-0-3) MATH 481 Introduction to Stochastic Processes This is an introductory course in stochastic processes. Its purpose is to introduce students to a range of stochastic processes which are used as modeling tools in diverse fields of applications, especially in the business applications. The course introduces the most fundamental ideas in the area of modeling and analysis of real World phenomena in terms of stochastic processes. The course covers different classes of Markov processes: discrete and continuous-time Markov chains, Brownian motion and diffusion processes. It also presents some aspects of stochastic calculus with emphasis on the application to financial modeling and financial engineering. Credit will not be granted for MATH 481 and 542. Prerequisite(s): [(MATH 332 and MATH 475) OR (MATH 333 and MATH 475)] (3-0-3) MATH 483 Design & Analysis of Experiments Review of elementary probability and statistics; analysis of variance for design of experiments; estimation of parameters; confidence intervals for various linear combinations of the parameters; selection of sample sizes; various plots of residuals; block designs; Latin squares; one, two, and 2ˆk factorial designs; nested and cross factor designs; regression; nonparametric techniques. Prerequisite(s): [(MATH 476)] (3-0-3) MATH 484 Regression & Forecasting Simple linear regression; multiple linear regression; least squares estimates of parameters; hypothesis testing and confidence intervals in linear regression models; testing of models, data analysis, and appropriateness of models; linear time series models; moving average, autoregressive and/or ARIMA models; estimation, data analysis, and forecasting with time series models; forecasting errors and confidence intervals. Credit may not be granted for both MATH 484 and MATH 564. Prerequisite(s): [(MATH 474) OR (MATH 476)] (3-0-3) (C) MATH 485 Introduction to Mathematical Finance This is an introductory course in mathematical finance. Technical difficulty of the subject is kept at a minimum by considering a discrete time framework. Nevertheless, the major ideas and concepts underlying modern mathematical finance and financial engineering will be explained and illustrated. Credit may not be granted for MATH 485 and MATH 548. Prerequisite(s): [(MATH 475)] (3-0-3) MATH 486 Mathematical Modeling I The course provides a systematic approach to modeling and analysis of physical processes. For specific applications, relevant differential equations are derived from basic principles – for example, from conservation laws and constitutive equations. Dimensional analysis and scaling are introduced to prepare a model for analysis. Analytic solution techniques, such as integral transforms and similarity variable techniques, or approximate methods, such as asymptotic and perturbation methods, are presented and applied to the models. A broad range of applications from areas such as physics, engineering, biology, and chemistry are studied. Credit may not be granted for both MATH 486 and MATH 522. Prerequisite(s): [(MATH 461)] (3-0-3) (C) 236
Course Descriptions MATH 487 Mathematical Modeling II The formulation of mathematical models, solution of mathematical equations, interpretation of results. Selected topics from queuing theory and financial derivatives. Prerequisite(s): [(MATH 252)] (3-0-3) (C) MATH 488 Ordinary Differential Equations & Dynamical Systems Boundary-value problems and Sturm-Liouville theory; linear system theory via eigenvalues and eigenvectors; Floquet theory; nonlinear systems: critical points, linearization, stability concepts, index theory, phase portrait analysis, limit cycles, and stable and unstable manifolds; bifurcation; and chaotic dynamics. Prerequisite(s): [(MATH 251 and MATH 252)] (3-0-3) MATH 489 Partial Differential Equations First-order equations, characteristics. Classification of second-order equations. Laplace’s equation; potential theory. Green’s function, maximum principles. The wave equation: characteristics, general solution. The heat equation: use of integral transforms. Prerequisite(s): [(MATH 461)] (3-0-3) MATH 491 Reading & Research Independent reading and research. (Credit: Variable) (C) MATH 497 Special Problems Special problems. (Credit: Variable) (C) Military Science MILS 101 Foundation of Officership Issues and competencies that are central to a commissioned officer’s responsibilities. Establish framework for understanding officership, leadership, and Army values followed and “life skills” such as physical fitness and time management. (1-2-1) (C) MILS 102 Basic Leadership Establishes foundation of basic leadership fundamentals such as problem solving, communications, briefings and effective writing, goal setting techniques for improving listening and speaking skills, and an introduction to counseling. (1-2-1) (C) MILS 107 American Military History Study of American military history through examination of evolvement of the Army and warfare. (3-2-3) MILS 147 Aerobic Conditioning Participation in aerobic exercise program; evaluation of the level of cardiovascular fitness. (0-3-2) MILS 199 Military Topics Approval of the department. Research and study of selected topics. A practical laboratory is required. May be repeated if topics vary. Students may register in more than one section per term. (3-0-3) MILS 201 Individual Leadership Studies Students identify successful leadership characteristics through observation of others and self and through experiential learning exercises. Students record observed traits (good and bad) in a dimensional leadership journal and discuss observations in small group settings. (2-2-2) MILS 202 Leadership & Teamwork Study examines how to build successful teams, various methods for influencing action, effective communication in setting and achieving goals, the importance of timing the decision, creativity in the problem solving process, and obtaining team buy-in through immediate feedback. (2-2-2) MILS 247 Aerobic Conditioning Participation in aerobic exercise program; evaluation of the level of cardiovascular fitness. (0-3-2) MILS 248 Aerobic Conditioning Participation in aerobic exercise program; evaluation of the level of cardiovascular fitness. (0-3-2) MILS 301 Leadership & Problem Solving Students conduct self-assessment of leadership style, develop personal fitness regimen, and learn to plan and conduct individual/ small unit tactical training while testing reason and problem-solving techniques. Students receive direct feedback on leadership abilities. (3-2-3) (C) MILS 302 Leadership & Ethics Examines the role communications, values, and ethics play in effective leadership. Topics include ethical decision-making, consideration of others, spirituality in the military, and survey Army leadership doctrine. Emphasis on improving oral and written communication abilities. Prerequisite(s): [(MILS 301)] (3-2-3) (C) MILS 347 Aerobic Conditioning Participation in aerobic exercise program; evaluation of the level of cardiovascular fitness. (0-3-2) MILS 348 Aerobic Conditioning Participation in aerobic exercise program; evaluation of the level of cardiovascular fitness. (0-3-2) MILS 148 Aerobic Conditioning Participation in aerobic exercise program; evaluation of the level of cardiovascular fitness. (0-3-2) 237
- Page 187 and 188: Course Descriptions ARCH 462 Planni
- Page 189 and 190: Course Descriptions ARCH 481 Materi
- Page 191 and 192: Course Descriptions BIOL 105 Introd
- Page 193 and 194: Course Descriptions BIOL 495 Biolog
- Page 195 and 196: Course Descriptions BME 425 Concept
- Page 197 and 198: Course Descriptions BUS 204 Identif
- Page 199 and 200: Course Descriptions BUS 456 Financi
- Page 201 and 202: Course Descriptions CAE 301 Hydraul
- Page 203 and 204: Course Descriptions CAE 431 Steel D
- Page 205 and 206: Course Descriptions Chemical Engine
- Page 207 and 208: Course Descriptions CHE 530 Advance
- Page 209 and 210: Course Descriptions CHEM 451 Modern
- Page 211 and 212: Course Descriptions COM 380 Topics
- Page 213 and 214: Course Descriptions CS 429 Informat
- Page 215 and 216: Course Descriptions CS 546 Parallel
- Page 217 and 218: Course Descriptions ECE 407 Introdu
- Page 219 and 220: Course Descriptions ECE 497 Special
- Page 221 and 222: Course Descriptions EG 225 Engineer
- Page 223 and 224: Course Descriptions ENVE 310 Introd
- Page 225 and 226: Course Descriptions HIST 333 Ethnic
- Page 227 and 228: Course Descriptions INTM 319 Electr
- Page 229 and 230: Course Descriptions INTM 446 Manufa
- Page 231 and 232: Course Descriptions ITMD 421 Data M
- Page 233 and 234: Course Descriptions ITMO 452 Client
- Page 235 and 236: Course Descriptions LIT 307 Graphic
- Page 237: Course Descriptions MATH 333 Matrix
- Page 241 and 242: Course Descriptions MMAE 305 Dynami
- Page 243 and 244: Course Descriptions MMAE 414 Aircra
- Page 245 and 246: Course Descriptions MMAE 472 Advanc
- Page 247 and 248: Course Descriptions NS 301 Navigati
- Page 249 and 250: Course Descriptions PHIL 371 Ethics
- Page 251 and 252: Course Descriptions PHYS 410 Molecu
- Page 253 and 254: Course Descriptions Political Scien
- Page 255 and 256: Course Descriptions PS 333 Politics
- Page 257 and 258: Course Descriptions PS 408 Methods
- Page 259 and 260: Course Descriptions PSYC 412 Multic
- Page 261 and 262: Course Descriptions SOC 208 Social
- Page 263 and 264: Course Descriptions SOC 371 Occupat
- Page 265 and 266: Academic Policies and Procedures
- Page 267 and 268: Academic Policies and Procedures Ad
- Page 269 and 270: Grades Academic Policies and Proced
- Page 271 and 272: Academic Policies and Procedures Gr
- Page 273: Academic Policies and Procedures Tr
- Page 276 and 277: Campus Resources Campus Resources A
- Page 278 and 279: Campus Resources Communication Acro
- Page 280 and 281: Campus Resources Graham Resource Ce
- Page 282 and 283: Campus Resources Student Affairs We
- Page 285 and 286: Officers, Administration, and Facul
- Page 287 and 288: Board of Trustees Life Trustees Ver
Course Descriptions<br />
MATH 487<br />
Mathematical Modeling II<br />
The formulation <strong>of</strong> mathematical models, solution <strong>of</strong> mathematical<br />
equations, interpretation <strong>of</strong> results. Selected topics<br />
from queuing theory and financial derivatives.<br />
Prerequisite(s): [(MATH 252)]<br />
(3-0-3) (C)<br />
MATH 488<br />
Ordinary Differential Equations & Dynamical Systems<br />
Boundary-value problems and Sturm-Liouville theory; linear<br />
system theory via eigenvalues and eigenvectors; Floquet<br />
theory; nonlinear systems: critical points, linearization,<br />
stability concepts, index theory, phase portrait analysis, limit<br />
cycles, and stable and unstable manifolds; bifurcation; and<br />
chaotic dynamics.<br />
Prerequisite(s): [(MATH 251 and MATH 252)]<br />
(3-0-3)<br />
MATH 489<br />
Partial Differential Equations<br />
First-order equations, characteristics. Classification <strong>of</strong><br />
second-order equations. Laplace’s equation; potential theory.<br />
Green’s function, maximum principles. The wave equation:<br />
characteristics, general solution. The heat equation: use <strong>of</strong><br />
integral transforms.<br />
Prerequisite(s): [(MATH 461)]<br />
(3-0-3)<br />
MATH 491<br />
Reading & Research<br />
Independent reading and research.<br />
(Credit: Variable) (C)<br />
MATH 497<br />
Special Problems<br />
Special problems.<br />
(Credit: Variable) (C)<br />
Military Science<br />
MILS 101<br />
Foundation <strong>of</strong> Officership<br />
Issues and competencies that are central to a commissioned<br />
<strong>of</strong>ficer’s responsibilities. Establish framework for understanding<br />
<strong>of</strong>ficership, leadership, and Army values followed and “life<br />
skills” such as physical fitness and time management.<br />
(1-2-1) (C)<br />
MILS 102<br />
Basic Leadership<br />
Establishes foundation <strong>of</strong> basic leadership fundamentals such<br />
as problem solving, communications, briefings and effective<br />
writing, goal setting techniques for improving listening and<br />
speaking skills, and an introduction to counseling.<br />
(1-2-1) (C)<br />
MILS 107<br />
American Military History<br />
Study <strong>of</strong> American military history through examination <strong>of</strong><br />
evolvement <strong>of</strong> the Army and warfare.<br />
(3-2-3)<br />
MILS 147<br />
Aerobic Conditioning<br />
Participation in aerobic exercise program; evaluation <strong>of</strong> the<br />
level <strong>of</strong> cardiovascular fitness.<br />
(0-3-2)<br />
MILS 199<br />
Military Topics<br />
Approval <strong>of</strong> the department. Research and study <strong>of</strong> selected<br />
topics. A practical laboratory is required. May be repeated if<br />
topics vary. Students may register in more than one section<br />
per term.<br />
(3-0-3)<br />
MILS 201<br />
Individual Leadership Studies<br />
Students identify successful leadership characteristics through<br />
observation <strong>of</strong> others and self and through experiential<br />
learning exercises. Students record observed traits (good<br />
and bad) in a dimensional leadership journal and discuss<br />
observations in small group settings.<br />
(2-2-2)<br />
MILS 202<br />
Leadership & Teamwork<br />
Study examines how to build successful teams, various methods<br />
for influencing action, effective communication in setting<br />
and achieving goals, the importance <strong>of</strong> timing the decision,<br />
creativity in the problem solving process, and obtaining team<br />
buy-in through immediate feedback.<br />
(2-2-2)<br />
MILS 247<br />
Aerobic Conditioning<br />
Participation in aerobic exercise program; evaluation <strong>of</strong> the<br />
level <strong>of</strong> cardiovascular fitness.<br />
(0-3-2)<br />
MILS 248<br />
Aerobic Conditioning<br />
Participation in aerobic exercise program; evaluation <strong>of</strong> the<br />
level <strong>of</strong> cardiovascular fitness.<br />
(0-3-2)<br />
MILS 301<br />
Leadership & Problem Solving<br />
Students conduct self-assessment <strong>of</strong> leadership style, develop<br />
personal fitness regimen, and learn to plan and conduct<br />
individual/ small unit tactical training while testing reason<br />
and problem-solving techniques. Students receive direct<br />
feedback on leadership abilities.<br />
(3-2-3) (C)<br />
MILS 302<br />
Leadership & Ethics<br />
Examines the role communications, values, and ethics play in<br />
effective leadership. Topics include ethical decision-making,<br />
consideration <strong>of</strong> others, spirituality in the military, and survey<br />
Army leadership doctrine. Emphasis on improving oral and<br />
written communication abilities.<br />
Prerequisite(s): [(MILS 301)]<br />
(3-2-3) (C)<br />
MILS 347<br />
Aerobic Conditioning<br />
Participation in aerobic exercise program; evaluation <strong>of</strong> the<br />
level <strong>of</strong> cardiovascular fitness.<br />
(0-3-2)<br />
MILS 348<br />
Aerobic Conditioning<br />
Participation in aerobic exercise program; evaluation <strong>of</strong> the<br />
level <strong>of</strong> cardiovascular fitness.<br />
(0-3-2)<br />
MILS 148<br />
Aerobic Conditioning<br />
Participation in aerobic exercise program; evaluation <strong>of</strong> the<br />
level <strong>of</strong> cardiovascular fitness.<br />
(0-3-2)<br />
237