• Maria Cameron Receives the 2024 MURI Award

    Congratulations to Maria Cameron for her MURI award. MURI are multidisciplinary university research initiative grants that are awarded by the department of defense. Cameron’s grant is sponsored by the office of naval research. Her team includes Balakumar Balachandran (ME) and Miao Yu (ME). This is a project on “disorder-influenced collective Read More
  • A $27.2M Gift to the Math Department by the Brin Family

    The university announced today a big gift to the Math Department. The very generous gift of $27.2M was made by Michael & Eugenia Brin. The gift will endow the Brin Mathematics Research Center, establish an endowed chair, and launch a summer camp for high school students. The official university’s press Read More
  • 2023 Putnam Competition Result

    We very excited to report that our Putnam team ranked 8th, honorable mention, among 471 institutions in the 2023 Putnam math competition.Our team members this year were Vincent Trang, Daniel Yuan, Omar Habibullah, and Andrew Parker.Vincent Trang ranked 43rd and Daniel Yuan ranked 64th among 3,857 participants. Read More
  • Simons Fellows - Darvas, Kanigowski, Rubinstein

    Congratulations to Tamas Darvas, Adam Kanigowski, and Yanir Rubinstein for being named Simons Fellows. Read More
  • Doron Levy is elected 2024 Class of Fellows of the AMS

    Congratulations to Dr. Doron Levy, as Fellow of the American Mathematical Society, Class of 2024 (https://www.ams.org/cgi-bin/fellows/fellows_by_year.cgi)!  Dr. Levy was elected  ``For his contributions to Mathematical Oncology and Mathematical Biology".  Read More
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Description

This is a course in Probability Theory with a minimum of prerequsites designed primarily for students in the Social Sciences who normally would take a Statistics course in their own department. Credit will only be given for one of MATH 111 and STAT 100.

Prerequisites

Satisfactory score on Math Department placement exam or completion of the appropriate module of MATH 003, or MATH 110. Not open to students who have completed STAT 100 or any MATH or STAT course with prerequisite of MATH 141. Credit will be granted for only one of the following: MATH 111 or STAT 100

Topics

Counting

Sets
Venn Diagrams
Partition principle for counting
Multiplication rule
Permutations
Combinations
Binomial formula

Probability

Sample spaces
Probability fundamentals

Conditional Probabilities and Independence

Conditional probability
Bayes Theorem
Independence

Discrete Random Variables

Probability function
Expected value
Variance
Binomial Distribution
Hypergeometric random variables

Continuous Random Variables

Normal random variables
Normal approximation
Probability estimation

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