MATH 201 (Session A2, Summer 2023)InstructorAnurag SahayEmail: anuragsahay@rochester.edu \(\star\) – please see the course's Blackboard for Zoom links and the schedule for office hour timings. GraderNathanael GrandEmail: ngrand@ur.rochester.edu Textbook and RequirementsThe textbook for the course is Introduction to Probability (4th Edition) by David F. Anderson, Timo Seppäläinen and Benedek Valkó. You will need a zoom account to attend the lectures and a working webcam to take the exams. Course DescriptionMATH 201 is an introduction to the theory of probability, i.e., to the mathematical analysis of chance and randomness. Randomness plays a crucial role in mathematics, statistics, the natural sciences, and even the social sciences. The goal of this course is to supply the student with a mathematical framework of understanding randomness using probability and random variables. Topics include probability spaces; combinatorial problems; discrete and continuous distributions; independence and dependence; moment generating functions; joint distributions; expectation and variance; sums of random variables; central limit theorem; and laws of large numbers. Please go through the links in the sidebar for more information. PrerequisitesAny student who wishes to take this course should be familiar with the basics of integration and differentiation as covered in the first year of the calculus sequences (140s, 160s, 170s). In particular, MATH 162 or equivalent is mandatory. A student taking this course will benefit from having taken MATH 164 and it is highly recommended that they take MATH 164 first. However, MATH 164 is NOT a formal prerequisite for MATH 201. |