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AEEM 212 Probabilistic Engineering Date prepared: February 2, 2004 Catalog data: 20-AEEM-212. Probabilistic Engineering. 3 cr. Probability and statistics for design and reliability, design case studies, and continuation of engineering design experience from Basic Integrated Engineering Prerequisites: 20-AEEM-211 Basic Integrated Engineering; 15-MATH-254 Calculus IV Textbook: Statistical Method for Engineers, G.G. Vining, Duxbury, 1998 References: Applied Statistics for Engineers and Scientists, J. Devore & N. Farnum, Duxbury, 1998 Coordinator: Bruce K. Walker, Associate Professor of Aerospace Engineering & Engineering Mechanics, 745B Baldwin, 556-3552, [email protected] Course Objectives: The student will be able to 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Topics Covered: Construct and interpret representations of random data including histograms, relative frequency tables, and box plots [b] Compute mean, median, variance, standard deviation and quartiles from random data [a, b] Conduct a lab experiment and evaluate the data for variables [b] Construct probabilities of composite events from independent and elementary events [a, b] Use and interpret probability mass functions and probability density functions, including calculation of mean and variance [a, b] Use the standard normal distribution to compute probabilities for ranges of values and for constructing confidence intervals [a, b] Compute and interpret correlation coefficients for jointly distributed random variables [a, b] Calculate statistics of linear combinations of random quantities, as used in meeting tolerance specifications [a, e, k] Construct and interpret simple control charts (mean chart and range chart) for statistical process control and process capability analysis [e, k] Analyze the reliability of simple systems involving parallel and series subsystems, including computation of reliability and comparison of reliabilities using more or less reliable components [a, e, h, k] Solve design problems involving quantities (strength, dimensions, etc.) that include random variations with variances given [c] Appreciate the importance of six sigma concepts in manufacturing & design process [i, j, k] Write technical reports [g] Data representation for random data. Sample statistics. Basic properties of probabilities. Events and event probabilities and independent and mutually exclusive events. Random variables and probability mass functions, probability density functions, and cumulative distribution functions. Expectation and mean and variance. Binomial, Poisson, hypergeometric, uniform, normal, exponential, & Weibull distributions. Jointly distributed random variables and correlation. Functions of random variables including linear combinations. Tolerances. Error and variation of computed sample statistics. Control charts and process capability. Reliability. Computer usage: Prof. Experience: Mathematics; Engineering; General Education; Design Experience AEEM Objectives: 1, 2, 3, 4 and 6 ABET Criteria Addressed: Know how to apply statistical tools to interpret large amounts of random data from homework and projects [a] Be able to conduct an experiment and analyze & interpret the data for variability [b] Be able to apply probabilistic concepts to simple design problems [c] Be able to design components to meet tolerance specifications [e] Be able to write a technical report [g] Be able to improve quality and reliability of product [h] Be able to appreciate the need for continuous improvement of products using six sigma concepts [i] Be able to appreciate the role of six sigma practices in a global competitive environment [j] Be able to apply modern probabilistic engineering skills [k] Instrument of Assessment Course Name: Probabilistic Engineering Quarter_______________________________ Outcome Objective HW Course # AEEM-212 Instructor_____________________________ Quiz MidTerm Final Report a) An ability to apply knowledge of mathematics, science, and engineering to problems in the aerospace disciplines b) An ability to design and conduct experiments, as well as to analyze and interpret data c) An ability to design an aerospace system, component, or process to meet desired needs d) An ability to function on multidisciplinary teams e) An ability to identify, formulate, and solve engineering problems in the aerospace disciplines f) An understanding of professional and ethical responsibility g) An ability to communicate effectively in written and oral presentation h) The broad education necessary to understand the impact of engineering solutions in a global and societal context i) A recognition of the need for an ability to engage in life-long learning j) A knowledge of contemporary issues through participation in a general education program k) An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice l) Enhanced understanding of the relationship between theory and professional practice through the cooperative education experience m) The opportunity to specialize and to participate in a research experience Notes: 1) Please attach a list of assignments, quizzes and exams. 2) Please add comments or concerns regarding the present assessment. 3) Please provide any comments or suggestions for improvement. Oral % of Stud. with C and above Comments