APMA 3100 | Section 003

Notes - Table of Contents

Unit 01 - for Midterm I

WeekTopicsNotesExamplesProblems
01–08/25Basic rulesWeb | PDF | MarkupPDF01-A | 01-B
02–09/01Bayes | TreesWeb | PDF | MarkupPDF02-A | 02-B
03–09/08Trials | PMFWeb | PDF | MarkupPDF03-A | 03-B
04–09/15Discrete families,
E[X], Var[X], σ[X]
Web | PDF | MarkupPDF04-A | 04-B
05–09/22g(X), E[g(X)]
Continuous RV
Web | PDF | MarkupPDF05-A | 05-B
06–09/29Continuous families,
Normals
Web | PDF | MarkupPDF06-Combo

Notes:

  • Midterm I does cover the material from Week 06
  • Unit 01 - Essential problems
    • Focus your exam study on mastery of these first, then move to everything else.
    • This list is not an indicator about what will be on the exam. Everything in the Notes is fair game. But it is a good idea to make sure you completely master these problems before you study material that is less central and fundamental.

Unit 02 - for Midterm II

WeekTopicsNotesExamplesProblems
07–10/06Joint theory,
Margls, Indep.
Web | PDF | MarkupPDF07-Combo
08–10/13Dscrt g(X,Y),
Cts g(X), g(X,Y)
Web | PDF | N/APDF08-Combo
09–10/20X+Y, E[g(X,Y)],
Cov, Corr
Web | PDF | MarkupPDF09-A | 09-B
10–10/27X|A, X|YWeb | PDF | MarkupPDF10-Combo

Notes:

  • Midterm II is not cumulative, it covers material introduced after Midterm I.
  • Unit 02 - Essential problems
    • Focus your exam study on mastery of these first, then move to everything else.
    • This list is not an indicator about what will be on the exam. Everything in the Notes is fair game. But it is a good idea to make sure you completely master these problems before you study material that is less central and fundamental.

Unit 03 - for the Final Exam

WeekTopicsNotesExamplesProblems
11–11/03Summations, CLTWeb | PDF | MarkupPDF11-A | 11-B
12–11/10Sample mean, LLNWeb | PDF | MarkupPDF12-A | 12-B
13–11/17Sig., Bin. hypo. testWeb | PDF | MarkupPDF13-A | 13-B
14–11/24Mean square errorWeb | PDF | MarkupPDF14-A | 14-B
15–12/01Meaning of probWeb | PDF | MarkupNoneNone

Paradoxes

Notes:

  • Unit 03 - Essential problems
    • Focus your exam study on mastery of these first, then move to everything else.
    • This list is not an indicator about what will be on the exam. Everything in the Notes is fair game. But it is a good idea to make sure you completely master these problems before you study material that is less central and fundamental.
  • The Final Exam is cumulative, it covers all material from the course.
  • The Final Exam is taken together with all sections of APMA 3100.

Pre-course Review

Efficiently refresh your knowledge of relevant calculus and probability:

Some computing required:

  • Before the Project (due by course end), dig out your resources to review Python or MATLAB or Java (or whatever language / environment you have studied)