Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits
Ongoing course
Time: MWF 10:20 AM – 11:10 AM
Location: Zoom
Office hours: See details here
Grading
Homework: 25% – Weekly homework (you must turn them in)
Midterm I (02/15): 20%
Midterm II (04/14): 25%
Final (to be announced) : 30%
Homework sets
Homework #4 (turn in the bold ones)
Chapter 3 – Problems: 3.1, 3.2, 3.4, 3.9, 3.10, 3.11, 3.18
Chapter 3 – Theoretical Exercises: 3.1, 3.2, 3.5
Due to 03/05
Homework #3 (turn in the bold ones)
Chapter 2 (8th, 9th and 10th editions)
Problems: 3, 38, 48
Theoretical Exercises: 13,15.
Due to 02/15
Homework #2 (turn in the bold ones)
Chapter 2 (8th, 9th and 10th editions)
Problems: 1 – 11, 2,8,14
Theoretical Exercises: 5,6,11, 12, 16
Due to 02/07
Homework #1: You must turn in the bold ones
From Chapter 1
Problems : 1 to 11. Turn in problem 4
Theoretical exercises: 3,4,5,6,8
Due to 01/29
All problems refer to our textbook.
Textbook
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Course notes
The Conditional Measure – MATH 4510/5510
Investigating the conditional probability and an example from genetics
Conditional Probability – Part II – MATH 4510/5510
Introduction to conditional probability
Conditional Probability – Part I – MATH 4510/5510
Introduction to conditional probability
Midterm I – Review I – MATH 4510/5510
Comments about Midterm I and theoretical review
Probability as a measure of belief – MATH 4510/5510
Probability as a measure of belief
Probability measure as a continuous set function – MATH 4510/5510
Probability measure as a continuous set function. Increasing and decreasing events.
Sample spaces with equally likely outcomes – MATH 4510/5510
Sample spaces with equally likely outcomes
Basic Principle of Counting – MATH 4510/5510
(Generalized) Basic Principle of Counting and Permutations
Introduction to the course – MATH 4510/5510
General comments about probability theory and our course!
