APMA 3100 | Section 003
- Math to know before this course
- Coding skills:
- Projects require coding. Project 1 is due in Week 05.
- Please refresh your knowledge of MATLAB, Python, Java, or another computing language!
- Formula Sheet:
- This sheet will be provided to all students at all exams.
- MANY practice problems here
- Fun Famous Probability Paradoxes
- Interpretations of probability
Final exam - practice tests
Each practice final 01-03 will be worth 0.25% or 0.50% (course grade) as an extra-credit bonus.
- Practice final 01: bonus will be placed in your Midterm 01 score category.
- Practice final 02: bonus will be placed in your Midterm 02 score category.
- Practice final 03: bonus will be placed in your HW score category.
(Max of 100% in each of these categories.)
Instructions:
Print out these practice tests. Please do this on paper. Take each test in an uninterrupted 2hr block of time. (Set yourself a timer. This is 1hr shorter than the real test.) Do not attempt problems that you are not reasonably confident you can solve. (Test 01 will be printed for you and started in class.)
After finishing a given test (2hrs), open the solutions file and grade the problems that you completed. Label these problems with “A.” Write your score on each problem, add up, and write the total score for “Round A” on the front page.
Now try to complete the remaining problems with unlimited time. Then grade these problems. Label with “B” the ones you could finish largely correctly without the solutions, using unlimited time, and put the “Round B” score on the front page under your “Round A” score.
Finally, study the solutions for the remaining problems (where you really got stuck), and then write out your own version of each of these solutions, and label these problems with “C.”
Scan and submit the final document on Gradescope.
You must follow this procedure for each practice test in order to receive the extra credit bonus.
Credit will accrue as follows: 0.25% for “completion,” meaning that you appeared to follow instructions. 0.50% for “good completion,” meaning that your solutions seem to demonstrate understanding, being written well in your own voice.
Practice final 01 - due Fri 04-24 11:59pm Solutions
Practice final 02 - due Thu 04-30 11:59pm Solutions
Practice final 03 - due Mon 05-04 11:59pm Solutions
One additional test for the stalwart. (No submission, no credit, just practice.)
Project 2
Download Project 2 instructions here.
Deadline of Mar 18 at 11:59pm via Gradescope.
Project 1
Download Project 1 instructions here.
Your reports are due on Feb 09 at 11:59pm via Gradescope.
Table of Contents for Lecture Notes
Unit 01 - for Midterm I
| Week | Topics | Notes | iPad | HW |
|---|---|---|---|---|
| 01 01/12 | Probability Models Conditional Probability Total Probability | Web | 01-A | 01-B PDF | PDF | |
| 02 01/19 | Bayes’ Theorem Independence Trees, Counting | Web | 02-A | 02-B PDF | PDF | |
| 03 01/26 | Repeated Trials Reliability of Systems Discrete Random Variables | Web | 03-A | 03-B PDF | PDF | |
| 04 02/02 | Bernoulli Process Expectation & Variance | Web | 04-A | 04-B PDF | PDF | |
| 05 02/09 | Poisson Process Derived Random Variable | Web | 05-A | 05-B PDF | PDF | |
| 06 02/16 | Normal Distribution | Web | 06 |
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
| Week | Topics | Notes | iPad | HW |
|---|---|---|---|---|
| 07 02/23 | Joint Distributions Independent RVs | Web | 07-A | 07-B PDF | PDF | |
| 08 03/02 | Spring Break | |||
| 09 03/09 | Derived RV from joint RVs | Web | 09-A | 09-B PDF | PDF | |
| 10 03/16 | Expectation of Joint-Derived Covariance & Correlation | Web | 10-A | 10-B PDF | PDF |
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
| Week | Topics | Notes | iPad | HW |
|---|---|---|---|---|
| 11 03/23 | Conditional RVs Joint Conditional | Web | 11-A | 11-B PDF | PDF | |
| 12 03/30 | Summations Central Limit Theorem | Web | 12-A | 12-B PDF | PDF | |
| 13 04/06 | Deviations Law of Large Numbers | Web | 13-A | 13-B PDF | PDF | |
| 14 04/13 | Significance Tests Binary Hypothesis Tests | Web | 14-A | 14-B PDF | PDF | |
| 15 4/20 | Mean Square Error Linear Estimation | Web | 15-A | 15-B PDF | PDF |
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.