MATH 20: PROBABILITY Course Overview Xingru Chen xingru.chen.gr@dartmouth.edu XC 2020
Co Course Description § Instructor § Course time § Xingru Chen § li live sessions § MWF 11:30 am - 12:35 pm § Email: xingru.chen.gr@dartmouth.edu § Lab webpage: https://fudab.github.io/ § X-hour § TA § li live sessions § Maria Roodnitsky § Tu 12:15 pm - 1:05 pm § Email: maria.roodnitsky.22@dartmouth.edu § Office hour § by by appointment § Canvas § https://canvas.dartmouth.edu/courses/40894 XC 2020
Important Dates Midterm 1 July 20 01 Check the exam date. Make yourself August 10 Midterm 2 02 available for the exam. You may request to August 29 Final 03 reschedule an exam in advance if family emergency • religious holiday • … 04 … … • XC 2020
Course Components Tutorial Class & X-hour Office Hour Zoom Zo Zo Zoom Zo Zoom frequency: three times a week frequency: depending on frequency: once a week frequency: at most once a individual needs week (use if needed) duration per appointment: recordings: assessible 15/30 minutes Live Session 65 or 50 minutes By Appointment Live Session 2 hours 15/30 minutes Exam Quiz Homework Ca Canvas Canvas Ca Canvas Ca frequency: twice a week frequency: once a week frequency: three times post: Monday & Wednesday post: Friday post: July 20, August 10, due: 24 hours later due: a week later August 29 workload: 10 minutes workload: 3 hours due: 24 hours later workload: 3 hours 24 hours 10 minutes 1 week 3 hours 24 hours 3 hours XC 2020
Weekly Blueprint Monday Tuesday Wednesday Zo Zoom, C Canvas Zoom, Zo Canvas C Zo Zoom class 11:30 our 9:00 am – 11:00 am class 11:30 am – 12:35 pm am – 12:35 pm cl of office ce hou cl uiz post 11:00 ur 12:15 pm – 1:05 pm our 2 :00 pm – 4:00 pm homework retur ho urn & qui X-ho hour of office ce hou quiz due 11:00 pm quiz post 11:00 pm pm qu qu Homework Quiz Quiz Class X-hour Office Hour Class Office Hour Thursday Friday Next Friday Ca Canvas Zo Zoom Zo Zoom, Canvas C our 11 11 :00 am – 1:00 pm class 11:30 am – 12:35 pm ue 11 11 :00 am of office ce hou cl ho homework due torial 7:00 pm – 9:00 pm homework post 11 11 :00 pm class 11:30 am – 12:35 pm tu tuto ho cl quiz due 11:00 pm homework post 11:00 pm qu ho Quiz Office Hour Tutorial Class Homework Class Homework XC 2020
Tools Canvas Zoom Zoom General Ge Cl Class & X-ho hour Tutorial Tu syllabus room number 749 749 767 767 7524 7524 room number 252 252 500 500 5829 5829 • • • other information password sm2 sm20m2 m20 password no no passw ssword rd • • • Class Cl & X-ho hour Office Offi Hour slides room number 749 749 767 767 7524 7524 • • recordings password sm2 sm20m2 m20 • • Qu Quiz Email Calendar Booking taking • solutions • In Instructor Offi Office Hour Hom Homewor ork & Exa xam xingru.chen.gr@dartmouth.edu https://go.oncehub.com/Xing • • downloading • ruChen submitting • TA TA returning • maria.roodnitsky.22@dartmout • solutions • h.edu XC 2020
Tools Calendar Offi Office Hour https://go.oncehub.com/Xing • ruChen XC 2020
Grading Formula Final 20% Homework 25% Midterm 2 Quiz 20% 15% Midterm 1 20% XC 2020
Textbooks Primary (free available on the internet) 01 Introduction to Probability (2nd Rev Ed), Charles M. Grinstead & J. Laurie Snell, American Mathematical Society (1997). Secondary (Wiley classics) 02 The Elements of Stochastic Processes – with applications to the natural sciences, Norman T. J. Bailey, John Wiley & Sons (1964). Graduate Level 03 A First Course in Stochastic Processes (2nd Ed), Samuel Karlin & Howard M. Taylor, Academic Press (1975). XC 2020
Syllabus We aim to cover the book by Gr Snell with emphasis on a number of Grinstead an and S important ap ations that would be helpful to your future career. applicat XC 2020
Concept 01 random variables (discrete and continuous) independence and conditioning … Calculation 02 (conditional) probability expectation, variance, standard deviation, … Theorem 03 Bayes Formula Law of large numbers Central Limit Theorem Application 04 random walks, Markov chain, … XC 2020
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