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 webcastTo 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 (two character strings linked by dashes, no spaces, all in lower case; this is a long password, but if you make sure that the 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, updated 1 Aug 2019) Office hours for this class are as follows (see abbreviations above):
        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
      These office hours began on Wed 31 Aug 2019 and will be 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 Take-Home Test 1, and a similar pattern will be followed for Take-Home Tests 2 and 3. 
    • (29 Jul 2019, updated 1 Aug 2019You can get free tutoring (Modified Supplemental Instruction (MSI)) for this course through Learning Support Services (LSS): our tutor for this class is 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
      As of Wed 31 Jul 2019, there was (and may still be) a glitch with the slug success website that's preventing students from signing up online; Noa asks that you sign up by emailing lss@ucsc.edu and 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 R) 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.
        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.
AttachmentSize
PDF icon Course syllabus and tentative timing of lectures and readings57.61 KB
PDF icon Document camera notes (lecture: 29 Jul 2019) (Populations, samples; IID, SRS; ELM; classical, frequentist, Bayesian; P(A or B)230.83 KB
PDF icon Note-taker notes (RL) (lecture: 29 Jul 2019)1.58 MB
PDF icon Extra notes (lecture: 29 Jul 2019) (experiments, events, sample spaces, set theory)481.42 KB
PDF icon Case study: Tay-Sachs disease699.51 KB
PDF icon Quiz 1 in PDF format (due at canvas.ucsc.edu by 11.59pm on Fri 2 Aug 2019)36.58 KB
Plain text icon Quiz 1 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Fri 2 Aug 2019)2.16 KB
PDF icon Take-Home Test 1 in PDF format (tentative due date: at canvas.ucsc.edu by 11.59pm on Sun 11 Aug 2019)174.3 KB
Plain text icon Take-Home Test 1 in LaTeX format (tentative due date: at canvas.ucsc.edu by 11.59pm on Sun 11 Aug 2019)26.55 KB
PDF icon Document camera notes (discussion section: 30 Jul 2019) (R simulation of roulette; deterministic, probabilistic causality)147.68 KB
Plain text icon R code to demonstrate the frequentist approach to computing P(red) in roulette1.39 KB
PDF icon Case studies: (1) Dr. Schram and (2) Fisher's constitutional hypothesis126.93 KB
PDF icon Document camera notes (lecture: 31 Jul 2019) (Product rule for AND; conditional probability; independence; odds ratio)250.23 KB
PDF icon Extra notes (lecture: 31 Jul 2019) (set theory, partitions, Kolmogorov axioms, permutations and combinations)2.29 MB
PDF icon Note-taker notes (RL) (lecture: 31 Jul 2019)2.27 MB
PDF icon Document camera notes (discussion section: 1 Aug 2019) (R simulation of single-number betting in roulette)132.4 KB
PDF icon Case study: roulette64.25 KB
Plain text icon R code to solve the roulette case study by simulation1.44 KB
PDF icon Quiz 2 in PDF format (due at canvas.ucsc.edu by 11.59pm on Tue 6 Aug 2019)65.11 KB
Plain text icon Quiz 2 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Tue 6 Aug 2019)1.74 KB
PDF icon Document camera notes (lecture: 2 Aug 2019) (orders of infinity; Kolmogorov axioms; permutations and combinations)142.38 KB
PDF icon Extra notes (lecture: 2 Aug 2019) (multinomial coefficients, partitions, Law of Total Probability)1.52 MB
PDF icon Note-taker notes (RL) (lecture: 2 Aug 2019)929.99 KB
Plain text icon R code to solve the birthday problem7.14 KB
Plain text icon R code to solve the card-matching problem2.07 KB
PDF icon Document camera notes (lecture: 5 Aug 2019) (Variable types: qualitative (categorical), quantitative: discrete, continuous)76.79 KB
PDF icon Extra notes (lecture: 5 Aug 2019) (Bayes's Theorem, random variables)486.76 KB
PDF icon Case study: ELISA and HIV108.64 KB
PDF icon Document camera notes (discussion section: 6 Aug 2019) (ELISA case study; Bayes's Theorem for true/false propositions)194.99 KB
PDF icon Note-taker notes (RL) (lecture: 5 Aug 2019)1.44 MB
PDF icon Quiz 3 in PDF format (due at canvas.ucsc.edu by 11.59pm on Fri 9 Aug 2019)58.57 KB
Plain text icon Quiz 3 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Fri 9 Aug 2019)3.09 KB
PDF icon Document camera notes (lecture: 7 Aug 2019) (Bayes's Theorem in odds form; partitioning over the truth; PMF and PDF)225.07 KB
PDF icon Extra notes (lecture: 7 Aug 2019) (pages 67-68 and 85-86 out of order; discrete, continuous random variables; PMF, CDF and PDF)3.19 MB
PDF icon Note-taker notes (RL) (lecture: 7 Aug 2019)2.24 MB
PDF icon Document camera notes (discussion section: 8 Aug 2019) (Monte Hall and death penalty case studies; Cromwell's Rule)130.47 KB
PDF icon Extra notes (discussion section: 8 Aug 2019) (conditional probability, Simpson's paradox)338.19 KB
PDF icon Case studies: Monte Hall and Cromwell's Rule178.12 KB
PDF icon Case study: imposition of the death penalty54.99 KB
PDF icon Document camera notes (lecture: 9 Aug 2019) (distributional shapes; inverse CDFs [quantiles])222.3 KB
PDF icon Extra notes (lecture: 9 Aug 2019) (Multivariate distributions: joint, marginal, conditional)2.2 MB
PDF icon Note-taker notes (RL) (lecture: 9 Aug 2019)1.96 MB
PDF icon Quiz 4 in PDF format (due at canvas.ucsc.edu by 11.59pm on Tue 13 Aug 2019)91.75 KB
Plain text icon Quiz 4 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Tue 13 Aug 2019)3.75 KB
PDF icon Quiz 5 in PDF format (due at canvas.ucsc.edu by 11.59pm on Fri 16 Aug 2019)78.41 KB
Plain text icon Quiz 5 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Fri 16 Aug 2019)1.82 KB
PDF icon Document camera notes (lecture: 12 Aug 2019) (bivariate PDFs: computing normalizing constants, extracting marginals)179.34 KB
PDF icon Note-taker notes (RL) (lecture: 12 Aug 2019)3.06 MB
PDF icon Document camera notes (discussion section: 13 Aug 2019) (using R to examine the Binomial and Poisson families of distributions)98.12 KB
PDF icon Extra notes (discussion section: 13 Aug 2019) (Poisson process)221.96 KB
Plain text icon R code to explore the Binomial and Poisson distributions8.43 KB
PDF icon Extra notes (lecture: 14 Aug 2019) (Probability integral transform; multivariate transformations of random variables)2.6 MB
PDF icon Note-taker notes (RL) (lecture: 14 Aug 2019)3.03 MB
PDF icon Take-Home Test 2 in PDF format (due at canvas.ucsc.edu by 11.59pm on Fri 23 Aug 2019)176.53 KB
Plain text icon Take-Home Test 2 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Fri 23 Aug 2019)17.4 KB
PDF icon Document camera notes (discussion section: 15 Aug 2019) (simulating univariate PDFs; visualizing bivariate PDFs)162.93 KB
Plain text icon R code to illustrate the use of the probability integral transform in generating pseudo-random draws from a distribution651 bytes
Plain text icon R code to visualize the bivariate densities on pages 98, 113 and 114 of the extra notes3.36 KB
PDF icon Quiz 6 in PDF format (due at canvas.ucsc.edu by 11.59pm on Tue 20 Aug 2019)84.69 KB
Plain text icon Quiz 6 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Tue 20 Aug 2019)1.88 KB
PDF icon Document camera notes (lecture: 16 Aug 2019) (expected value, variance, standard deviation)205.87 KB
PDF icon Note-taker notes (RL) (lecture: 16 Aug 2019)2.58 MB
PDF icon Quiz 7 in PDF format (due at canvas.ucsc.edu by 11.59pm on Sat 24 Aug 2019)62.89 KB
Plain text icon Quiz 7 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Sat 24 Aug 2019)2 KB
PDF icon Document camera notes (lecture: 19 Aug 2019) (Empirical Rule, prediction, covariance and correlation)306.72 KB
PDF icon Note-taker notes (RL) (lecture: 19 Aug 2019)2.2 MB
Plain text icon R code for the London Underground case study4.27 KB
PDF icon Extra notes (discussion section: 20 Aug 2019) (option pricing)164.36 KB
Plain text icon R code for frequentist and Bayesian analyses of the Castaneda-v.-Partida case study3.88 KB
PDF icon Document camera notes (discussion section: 20 Aug 2019) (Castaneda-v.-Partida case study analyses)160.93 KB
PDF icon Extra notes, pages 174 to 200 (Expected value, variance, standard deviation, moment-generating function [MGF])871.88 KB
PDF icon Extra notes, pages 201 to 225 (MGF, prediction, covariance, correlation, conditional expectation)776.08 KB
PDF icon Extra notes, pages 226 to 250 (regression, utility, review of important discrete distributions)779.44 KB
PDF icon Document camera notes (lecture: 21 Aug 2019) (correlation, regression)116.12 KB
PDF icon Note-taker notes (RL) (lecture: 21 Aug 2019)2.33 MB
PDF icon Document camera notes (discussion section: 22 Aug 2019) (probability models for sums)137.58 KB
PDF icon Case study: London Underground148.79 KB
PDF icon Extra notes, pages 251 to 275 (Poisson, Negative Binomial, Geometric, Normal, Lognormal distributions)796.23 KB
PDF icon Extra notes, pages 276 to 300 (Gamma, Beta, Multinomial, Bivariate Normal distributions; Markov inequality)755.21 KB
PDF icon Quiz 8 in PDF format (due at canvas.ucsc.edu by 11.59pm on Tue 27 Aug 2019)64.37 KB
Plain text icon Quiz 8 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Tue 27 Aug 2019)2.11 KB
PDF icon Take-Home Test 3 in PDF format (due at canvas.ucsc.edu by 11.59pm on Sun 1 Sep 2019)198.79 KB
Plain text icon Take-Home Test 3 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Sun 1 Sep 2019)22.26 KB
PDF icon Figure 1 in the LaTeX file for Take-Home Test 3, in case you wish to include it in your solutions11.7 KB
PDF icon Document camera notes (lecture: 23 Aug 2019) (Normal distribution; sample mean expected value, standard error; square-root law)208.92 KB
PDF icon Note-taker notes (RL) (lecture: 23 Aug 2019)2.39 MB
Plain text icon R code to explore the Geometric, Negative Binomial, Gamma, Beta, Bivariate Normal, and Lognormal distributions7.59 KB
PDF icon Extra notes, pages 301 to 325 (Chebyshev, Law of Large Numbers, convergence in probability, Central Limit Theorem)707.94 KB
PDF icon Document camera notes (lecture: 26 Aug 2019) (Regression, least-squares line; probability (deduction), statistics (inference))136.56 KB
PDF icon Note-taker notes (RL) (lecture: 26 Aug 2019)2.53 MB
PDF icon Extra notes, pages 326 to 348 (Markov chains: equilibrium distribution, eigen-analysis of transition matrix)692.55 KB
Plain text icon R code to explore the Central Limit Theorem in the roulette case study12.05 KB
PDF icon Document camera notes (discussion section: 27 Aug 2019) (skewness and kurtosis as diagnostics for the Central Limit Theorem)131.09 KB
PDF icon Quiz 9 in PDF format (due at canvas.ucsc.edu by 11.59pm on Fri 30 Aug 2019)106.59 KB
Plain text icon Quiz 9 in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Fri 30 Aug 2019)4.52 KB
Plain text icon R code to compute exact winning probabilities in roulette 6.6 KB
PDF icon Document camera notes (lecture: 28 Aug 2019) (confidence intervals; t distribution)200.23 KB
PDF icon Note-taker notes (RL) (lecture: 28 Aug 2019)1.99 MB
PDF icon Quiz 10 (EXTRA CREDIT ONLY) in PDF format (due at canvas.ucsc.edu by 11.59pm on Sun 1 Sep 2019)79.08 KB
Plain text icon Quiz 10 (EXTRA CREDIT ONLY) in LaTeX format (due at canvas.ucsc.edu by 11.59pm on Sun 1 Sep 2019)3.87 KB
PDF icon Document camera notes (discussion section: 29 Aug 2019) (roulette case study; bivariate normal distribution; quiz 8 revisited)96.08 KB
Plain text icon R code to solve the Riddler puzzle about counterfeit $100 bills2.61 KB
Plain text icon R code to explore Markov chains (eigenanalysis, random walk)10.04 KB
PDF icon Document camera notes (lecture: 30 Aug 2019) (Markov chains)31.71 KB
PDF icon Note-taker notes (RL) (lecture: 30 Aug 2019)2.54 MB
PDF icon Extra notes (lecture: 30 Aug 2019) (case studies: pricing options, optimizing an investment portfolio)360.76 KB