I have a professor looking to move to LON-CAPA for her IE 230 course in the 
fall. She has 2 grad students getting ready to start coding problems, but I 
thought I'd take a shot at tossing out a feeler for domains using this type of 
content already. Here is how she described her course.


"The best way to describe the course to people who teach probability and 
statistics is that we cover the first half of Montgomery and Runger. This is a 
fairly common / well-known text. It is introductory probability for engineers 
with calculus. (Calc 3 is a co-requisite for the course.)



The short list of topics is:

- Review of sets

- Sample spaces and events

- Event probabilities and the three Axioms of Probability

- Conditional probability and independence, including the Law of Total 
Probability and Bayes Rule

- Intro to random variables (r.v.'s)

- pmf / cdf / mean / variance for discrete r.v.'s

- Common discrete distributions: Bernoulli, binomial, geometric, negative 
binomial, hypergeometric

- pdf / cdf / mean / variance for continuous r.v.'s

- Common continuous distributions: uniform, triangular, normal, exponential, 
gamma, intro to Poisson Processes

- Bivariate discrete and continuous r.v.'s

- Bivariate distributions and independence / expected values / marginal / 
covariance / correlation

- Bivariate normal distributions

- Distributions for more than 2 r.v.'s

- Estimation: mean, variance, difference of means, bias, standard error, SLLN, 
CLT, Maximum Likelihood functions and estimators"



Any help would be greatly appreciated!




David Huckleberry
Educational Technologist
Innovations in Teaching and Learning
Purdue University
NEW! Coffee Break 
Consultations!<https://www.itap.purdue.edu/learning/services/consultation-requests.html>


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