Applied Mathematics and Statistics Probability A553420
Applied Mathematics and Statistics 553.420/620
Probability
Spring 2024 (4 credits, EQ)
COURSE DESCRIPTION (from the course catalog)
Probability and its applications, at the calculus level. Emphasis on techniques of application rather than on
rigorous mathematical demonstration. Probability, combinatorial probability, random variables,
distribution functions, important probability distributions, independence, conditional probability, moments,
joint distributions, covariance and correlation, conditional distributions, conditional expectation,
conditional variance, ordered statistics, exchangeability, inequalities, limit theorems. Students initiating
graduate work in probability or statistics should enroll in EN.550.620. Auditors are not permitted.
Recommended Course Background: one year of calculus and mathematical maturity; Co-requisite:
multivariable calculus.
Prerequisiteshttps://weibo.com/u/7916053997
(AS.110.108 [+] AND AS.110.109 [+]) OR (AS.110.106 [+] AND AS.110.107 [+])
Statistics Sequence restriction: students who have already completed EN.550.430 [+] may not register
REFERENCES
My personal course notes will be provided.
(Not required) Sheldon Ross, A First Course in Probability, Pearson Publishing, 9 th edition or later. My
personal course notes were written around the 9th edition of this textbook. The problems and theoretical
exercises are very good in this textbook (some have answers in the back of the book) and each chapter has
a chapter test with full solutions in the back of the book.
Gabe Gormezano, Intuition to Probability**, book (in progress). Written by one of our undergraduates a
PDF version of this book will be posted to Canvas for your enjoyment. It is an excellent source for
problems/exercises to expand your knowledge of the subject.
COURSE INSTRUCTOR, CONTACT INFORMATION & ETIQUETTE
Instructor: Dr. Fred Torcaso
Email: [email protected]
Zoom ID: https://wse.zoom.us/my/fred.torcaso
Office: Wyman Building N-411 (I will hold office hours in this office)
Email communication: Make sure to use only your JHED email for communication with me (I may not
respond otherwise. Expect a response to your emails within 24 hours usually sooner.
Office hours: Wednesdays 3-5, in-person Wyman Park Bldg. N-411, also by appointment - contact me by
email to set up time to meet. Expect a response within 24 hours usually sooner.
TEACHING ASSISTANTS & CONTACT INFORMATION
TJ Bai (Head TA) [email protected] Eleanor Belkin [email protected]
Cecilia Chen [email protected] Angela Hu [email protected]
Sujin Lee [email protected] Yash Permalla [email protected]
Sanee Wu [email protected] Virochan Pandit [email protected]
Probability
Spring 2024 (4 credits, EQ)
COURSE DESCRIPTION (from the course catalog)
Probability and its applications, at the calculus level. Emphasis on techniques of application rather than on
rigorous mathematical demonstration. Probability, combinatorial probability, random variables,
distribution functions, important probability distributions, independence, conditional probability, moments,
joint distributions, covariance and correlation, conditional distributions, conditional expectation,
conditional variance, ordered statistics, exchangeability, inequalities, limit theorems. Students initiating
graduate work in probability or statistics should enroll in EN.550.620. Auditors are not permitted.
Recommended Course Background: one year of calculus and mathematical maturity; Co-requisite:
multivariable calculus.
Prerequisiteshttps://weibo.com/u/7916053997
(AS.110.108 [+] AND AS.110.109 [+]) OR (AS.110.106 [+] AND AS.110.107 [+])
Statistics Sequence restriction: students who have already completed EN.550.430 [+] may not register
REFERENCES
My personal course notes will be provided.
(Not required) Sheldon Ross, A First Course in Probability, Pearson Publishing, 9 th edition or later. My
personal course notes were written around the 9th edition of this textbook. The problems and theoretical
exercises are very good in this textbook (some have answers in the back of the book) and each chapter has
a chapter test with full solutions in the back of the book.
Gabe Gormezano, Intuition to Probability**, book (in progress). Written by one of our undergraduates a
PDF version of this book will be posted to Canvas for your enjoyment. It is an excellent source for
problems/exercises to expand your knowledge of the subject.
COURSE INSTRUCTOR, CONTACT INFORMATION & ETIQUETTE
Instructor: Dr. Fred Torcaso
Email: [email protected]
Zoom ID: https://wse.zoom.us/my/fred.torcaso
Office: Wyman Building N-411 (I will hold office hours in this office)
Email communication: Make sure to use only your JHED email for communication with me (I may not
respond otherwise. Expect a response to your emails within 24 hours usually sooner.
Office hours: Wednesdays 3-5, in-person Wyman Park Bldg. N-411, also by appointment - contact me by
email to set up time to meet. Expect a response within 24 hours usually sooner.
TEACHING ASSISTANTS & CONTACT INFORMATION
TJ Bai (Head TA) [email protected] Eleanor Belkin [email protected]
Cecilia Chen [email protected] Angela Hu [email protected]
Sujin Lee [email protected] Yash Permalla [email protected]
Sanee Wu [email protected] Virochan Pandit [email protected]
