Introduction to Probability Theory

This is the web page for AMS 131 section 1 (summer session 2, 2019). The following abbreviations will be used here:

DD = David Draper (Professor; email address *draper@ucsc.edu*), WZ = **Wenjie Zhao** (TA: email address * wzhao24@ucsc.edu*), BE = Baskin Engineering, E2 = Engineering 2, JL = Jack's Lounge (on the ground floor of BE: it's the big open area with whiteboards, on the opposite end of the building from the coffee place) , and DS = DeGroot and Schervish (the textbook for the class).

The catalog description for AMS 131 is as follows:

*Introduction to probability theory and its applications. Combinatorial analysis, axioms of probability and independence, random variables (discrete and continuous), joint probability distributions, properties of expectation, Central Limit Theorem, Law of Large Numbers, Markov chains. Students cannot receive credit for this course and course 203 or Computer Engineering 107. Prerequisite(s): course 11B or Economics 11B or Mathematics 11B or 19B or 20B. (General Education Code(s): Q, SR - Statistical Reasoning)*

- (29 Jul 2019) Announcements will be posted in this section. The first Attachment section below will contain scanned PDF copies of the document camera lecture notes and extra lecture notes, as well as case studies and
*R*code; the second Attachment section will contain secure documents, available only by logging into the web page. - (29 Jul 2019) All of the Mon, Wed and Fri 9-11.20am lectures and the Tue and Thu 9-10.30am discussion sections will be webcast. To watch a video of one of the lectures or discussion sections, go to
*webcast.ucsc.edu*; in the second and third rows down from the top in the*Webcast Course List*you'll find two rows that begin*AMS 131 David Draper*; the first of these rows is for the lectures, and the second records the disussion sections. In the right-most column of either row under the heading*Link*, click on*Video List*; on the page you come to next, in the top box type in the username for this course, which is*ams-131-1*; in the box below that type in the password for this course, which is uncertainty-quantification*Remember me*box has a check mark in it, you won't have to type in the password from now on, as long as you're using the same computer each time); now click on the*Login*box and you're at the*Course Webcasts*page. To watch a video just click on it, and then click the relevant symbol on the left just below the video screen: right arrow for watching, left arrow for going back, double vertical line for pause (this is one of the great advantages of webcasts: you can't pause or rewind me in real time in class, but you can pause or rewind the videos as much as you like). - (29 Jul 2019,
) Office hours for this class are as follows (see abbreviations above):*updated 1 Aug 2019*Day Time Location Who Monday 2-3pm BE 312 C/D WZ Tuesday 10.45am-noon.15pm Jack's Lounge DD Wednesday 1-2pm BE 312 C/D WZ Thursday 10.45am-noon.15pm Jack's Lounge DD Friday noon-1pm BE 312 C/D WZ **effective through Fri 30 Aug 2019**(inclusive). In addition, DD will have**extra office 1.5-hours every day during the week (including weekend days) preceding the due date for a take-home test**; this will begin, for example, on**Mon 5 Aug 2019**and will continue through**Sun 11 Aug 2019**(inclusive) to help you with, and a similar pattern will be followed for**Take-Home****Test 1**.**Take-Home Tests 2 and 3** - (29 Jul 2019,
) You can get free tutoring (Modified Supplemental Instruction (MSI)) for this course through Learning Support Services (LSS): our tutor for this class is**updated 1 Aug 2019****Noa Mills**(email address*nkmills@ucsc.edu*). The tutoring*schedule*is as follows (ARC = the ARCenter on campus; you can look up its location if you've never been there):Day Time Location Tue noon-1pm ARC 116 Wed 11.30am-noon.30pm ARC 221 Thu noon-1pm ARC 221 website that's preventing students from signing up online; Noa asks that you sign up by emailing**slug success**and**lss@ucsc.edu**.**specifying the session you want to attend** - (29 Jul 2019) The discussion sections for the class are given in the table below. Each Tuesday, the content of the morning and afternoon discussions sections will be the same; each Thursday, the content of the morning and afternoon discussions sections will be the same, and different from what was covered on Tuesday that week.
**You are expected to participate in one Tuesday and one Thursday discussion section each week**, either by attending in person or by fully absorbing the contents of the webcasts; new material (especially examples of probabilistic and statistical**computing**in the freeware environment) will sometimes be presented in the discussion sections that is not covered in class, and solutions to problems will be covered that will help you with the quizzes and take-home tests.**R**Day Time Location Presenter Tuesday 9-10.30am Baskin Auditorium DD Tuesday 2-3.30pm Baskin Auditorium WZ Thursday 9-10.30am Baskin Auditorium DD Thursday 2-3.30pm Baskin Auditorium WZ - (30 Jul 2019) Our
**official note-taker**for the class is**Ryan Luk**(RL); his notes will be posted after each lecture in the Public Attachments section below, along with my document-camera notes.