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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