• Adam Kanigowski Awarded European Mathematical Society Prize

    He is the first member of UMD’s Department of Mathematics to receive this prestigious award for young mathematicians. The European Mathematical Society (EMS) awarded a 2024 EMS Prize to Adam Kanigowski, a Polish-born associate professor in the University of Maryland’s Department of Mathematics. Established in 1992, the prize is presented every four years to… Read More

  • Jonathan Poterjoy and Kayo Ide join new $6.6 million NOAA consortium

    Congratulations to AOSC's Jonathan Poterjoy and Kayo Ide (also of math and IPST) on joining a new NOAA consortium to improve the accuracy of weather forecasts.  Called CADRE, the $6.6 million initiative will focus on data assimilation, which uses observations to improve model predictions of natural systems, like Earth's atmosphere, over time.… Read More

  • Alfio Quarteroni receives the Blaise Pascal Medal in Mathematics

    Congratulations to Alfio Quarteroni for winning the 2024 Blaise Pascal Medal in Mathematics The message from the European Academy of Sciences reads: We are excited to announce that Professor Alfio Quarteroni has been awarded the esteemed 2024 Blaise Pascal Medal in Mathematics for his outstanding contributions to the field, particularly in… Read More

  • Archana Receives the Donna B. Hamilton Award

    Archana Khurana has been selected to receive the Donna B. Hamilton Award for Excellence in Undergraduate Teaching in a General Education Course.  Awards are based solely on student nominations and are solicited from across campus.  From the many nominations received, the selection committee was very impressed by the student experience… Read More

  • Yanir Receives a Do Good Campus Fund Grant

    Yanir’s proposal on “Incorporating outreach into the curriculum via experiential learning” is one of the only 27 projects out of 140 submissions that were funded by the UMD Do Good Campus Fund. 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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