Download IMSE317

IMSE 317: Engineering Probability and Statistics
Required Course
Catalog Description:
IMSE 317 - Eng Probability and Statistics (3 Cr. Hrs, 3 Lecture hours)
Set theory, combinatorial analysis, probability and axioms, random variables, continuous and discrete
distribution functions, expectations, Chebychev's inequity, weak law of large numbers, central limit
theorem, sampling statistics and distributions, point and interval estimation, and linear regression.
Three lectures.
Prerequisites:
Math 116 or MPLS 215 or Math 114
Textbook:
Probability and Statistics for Engineering and the Sciences, 6th edition, by Jay L. Devore
(2004)
Course Objectives:
1. Learn simple graphical methods to display data
2. Study probability theory and common probability models and how they are used to model
uncertainty and variability in an engineering context.
3. Study sampling distributions and statistical inference including two-sample comparisons.
4. Complete an overview of simple linear regression model.
5. Develop rudimentary ability to relate graphical and analytic results where applicable.
Topics Covered:
1. Course overview and simple displays of data and descriptive statistics (1.5 hrs)
2. Sample spaces, events and axioms of probability (1.5 hrs)
3. Counting techniques, conditional probability, and independent events (4.5 hrs)
4. Random variables, common discrete probability mass functions and expected value (4.5 hrs)
5. Common continuous probability density functions (3hrs)
6. Joint distributions, expected value and covariance (3hrs)
7. Sampling statistics and their distributions, linear combinations, point estimation (4.5 hrs)
8. Confidence intervals and hypothesis testing for a single sample (4.5 hrs)
9. Statistical inferences based upon two samples (4.5 hrs)
10. Simple regression analysis (4.5 hrs)
11. Examinations (6 hrs)
Class Schedule
The class sections meet for 3 hours each week for 14 weeks during the academic year. Usually a
daytime section meets twice per week for 1.5 hrs each. The evening section meets once per week from
6:10 to 9:00 PM. During spring/summer sessions, an accelerated class meets for six hours per week
(two, three-hour sessions) for seven weeks.
Contributions of Course to Meeting the Professional Component
This required course counts for 3 credit hours of “Engineering Science” towards completion of the 55
credit hour “Professional Requirements” of the undergraduate curricula for the BSE (I&SE) and BSE
(Mfg.E.).
Relationship of Course to Program Outcomes
I. Outcomes Addressed:
The course addresses the following two outcomes with a coverage level of high (H).
(a) an ability to apply knowledge of mathematics, science, and engineering (H)
The course requires applying basic mathematical skills involving set theory, integration, abstract
notation, and summation notation in the context of probabilistic and statistical models. Students
are required to apply these models in common engineering and science settings.
(b) an ability to design and conduct experiments, as well as to analyze and interpret data (H)
In homework and in exams students are required to analyze and interpret simple, two-sample
experiments--both unpaired and paired. Analysis includes applying appropriate analytic models
and in effectively plotting data.
II. Outcomes Assessed:
The course is used in the assessment of outcomes (a) and (b) for both degree programs. Exam
problems are used to assess the students’ ability to analyze and interpret data for each outcome.
Prepared by: James W. Knight, Associate Professor
May 19, 2004