Section 001 Teplyaev Math 3160 — Probability (Syllabus)
HW 1 (August 27 — August 31):
- Listen to Video Lectures 01a, 01b, 01c;
- read Chapter 1 “Combinatorics”;
- do all exercises in this chapter (ask questions in class);
- Quiz 1 on Friday August 31. Solution
HW 2 (September 3 — September 7):
- Review HW for week 1 and do any unfinished work;
- Listen to Video Lectures 02a, 02b;
- read Chapter 2 “The probability set-up” (you can skip the exercises, focus on Subsection 2.1. Introduction and basic theory);
- ask questions in class;
- Quiz 2 on Friday September 7, based on Chapter 1 and Subsection 2.1. Solution
HW 3 (September 10 — September 14):
- Review HW for week 2 and do any unfinished work;
- Listen to Video Lecture 3a for Chapter 3;
- read Chapter 2 “The probability set-up” and Chapter 3 “Independence”;
- ask questions in class;
- Quiz 3 on Friday September 14, based on Chapters 2 and 3. Solution
HW 4 (September 17 — September 21):
- Review HW for week 3 and do any unfinished work;
- Listen to Video Lectures 3b and 3c for Chapter 4;
- read Chapter 4 “Conditional probability”;
- ask questions in class;
- Quiz 4 on Friday September 21, based on Chapter 4. Solution
HW 5 (September 24 — September 28):
- Review HW for week 4 and do any unfinished work;
- Listen to Video Lectures 4a and 4b for Chapter 5;
- read Chapter 5 “Random variables”;
- ask questions in class;
- Quiz 5 on Friday September 28, based on Chapter 5. Solution
HW 6 (October 1 — October 5):
- Review HW for weeks 1, 2, 3, 4, 5 and do any unfinished work;
- ask questions in class on Monday;
- Test 1 on Wednesday October 3, based on Chapters 1, 2, 3, 4, 5. answers
HW 7 (October 8 — October 12):
- Review Test 1, do any unfinished work;
- Listen to Video Lectures 4c and 4d for Chapter 6;
- read Chapter 6 “Some discrete distributions“;
- ask questions in class;
- Quiz 6 on Friday October 12, based on Chapter 6. answers
HW 8 (October 15 — October 19):
- Review HW for the previous week and do any unfinished work;
- Listen to Video Lectures 5a for Chapter 7;
- read Chapter 7 “Continuous distributions”;
- ask questions in class;
- Quiz 7 on Friday October 19, based on Chapter 7. answers
HW 9 (October 22 — October 26):
- Review HW for the previous week and do any unfinished work;
- Listen to Video Lecture 5b for Chapters 8 and 9;
- read Chapter 8 “Normal distribution” and Chapter 9 “Normal approximation”;
- ask questions in class: normal-Gaussian and binomial
- Quiz 8-9 on Friday October 26, based on Chapters 8 and 9. answers
HW 10 (October 29 — November 2):
- Review HW for the previous week and do any unfinished work;
- Listen to Video Lectures 5c and 5d for Chapter 10;
- read Chapter 10 “Some continuous distributions”;
- read Strategy to transform continuous random variables;
- ask questions in class;
- Quiz 10 on Friday November 2, based on Chapter 10. solution
HW 11 (November 5 — November 9):
- Review HW for the previous week and do any unfinished work;
- listen to Video Lectures 6a, 6b, 6c and 6d, for Chapter 11;
- read Chapter 11 “Multivariate distributions“;
- ask questions in class;
- Quiz 11 on Friday November 9, based on Chapter 11. solution
HW 12 (November 12 — November 16):
- Review HW for weeks 7, 8, 9, 10, 11 and do any unfinished work;
- ask questions in class on Monday (here are pictures from the white board);
- sample Test 2 problems; with answers
- review session on Tuesday November 13, 7pm in MONT 420;
- Test 2 on Wednesday November 14, based on Chapters 6, 7, 8, 9, 10, 11. answers
- You are allowed to bring 2 pages of handwritten notes (both sides of an 8 x 11 paper). Table of distributions and Z-table from the end of the textbook will be provided.
HW 13 (Thanksgiving and November 26 — November 30):
- Review HW for the previous week and do any unfinished work;
- read Chapter 12 “Expectations” and Chapter 13 “Moment generating functions” (do all examples and exercises);
- optional: listen to Video Lectures 7a, 7b, 7c, 7d and 7e for Chapters 12 and 13;
- ask questions in class (here are pictures from the white board, November 26);
- Quiz 12-13 on Friday November 30, based on Chapters 11, 12 and 13. (here are the answers) Table of distributions from the end of the textbook will be provided.
HW 14 (December 3 — December 7):
- Review HW for the previous week and do any unfinished work;
- read Chapter 14 “Limit laws” (do all examples and exercises);
- optional: listen to Video Lectures 8a and 8b for Chapter 14; ask questions in class (here are pictures from the white board, December 5);
- Quiz 14 on Friday December 7, mostly based on Chapter 14 with some questions coming from chapters 8, 9, 10, 11, 12, 13. You are allowed to bring 3 pages of handwritten notes (both sides of an 8 x 11 paper). here are the answers
Review session Thursday 12/13/18 7:00 pm MONT 319 to discuss sample final exam problems (here are answers) and any other questions
Final exam Friday 12/14/18 8:00 am – 10:00 am
- You are allowed to bring 3 pages of handwritten notes (both sides of an 8 x 11 paper). Table of distributions and Z-table from the end of the textbook will be provided if needed.