Math 313: Probability
Instructor:
Marlow Anderson,Palmer 140, X6543
e-mail: MANDERSON@CC.COLORADO.EDU
Textbook: A First Course in Probability, by Sheldon Ross
We shall cover most of the first 8 chapters of this book.
Class Schedule: class daily at 9 AM; in addition, problem sessions on Tuesdays and Thursdays at 1:30 p.m.
Exams: There will be a midterm and a final. These are both closed book, notes and colleagues. Each will count for 35% of your course grade.
Homework: There will be one written homework assignment per week, due on Monday afternoons, by 3:30 p.m. On these Honor Problems, you should consult only your notes, your text and me! In addition, I will provide a regular list of suggested problems. Your are encouraged to discuss these with your classmates, as well as with me. At the problem sessions I will select some of these problems to be worked at the board. Come prepared to do so! I hope to run the problem sessions on a volunteer basis; I will expect everyone to participate. Your Honor Problem score will count for 20% of your grade, and your participation in the Problem Session will count for 10% of your grade.
Course Schedule:
|
Day |
Section Covered |
Topic |
|
Monday, Oct. 28 |
1.1-1.5 |
Combinatorics |
|
Tuesday, Oct. 29 |
1.6, 2.1-2.4 |
Axioms of Prob. |
|
Wednesday, Oct. 30 |
2.5-2.6, 3.1-3.3 |
Conditional Prob. |
|
Hallowe’en |
3.4-3.5 |
Independence |
|
Friday, Nov. 1 |
4.1-4.4 |
Discrete Random Var. |
|
Monday, Nov. 4 |
4.5-4.6 |
Examples |
|
Tuesday, Nov. 5 |
5.1-5.3 |
Continuous RV’s |
|
Wednesday, Nov. 6 |
5.4-5.6 |
Examples |
|
Thursday, Nov. 7 |
Review |
|
|
Friday, Nov. 8 |
Midterm |
Covers 1.1-5.6 |
|
Monday, Nov. 11 |
6.1-6.3 |
Jointly Distr. RV’s |
|
Tuesday, Nov. 12 |
7.1-7.2 |
Expectation |
|
Wednesday, Nov. 13 |
7.3-7.5 |
Variance & Covariance |
|
Thursday, Nov. 14 |
7.8 |
Moment Generating fns. |
|
Friday, Nov. 15 |
Day Off |
|
|
Monday, Nov. 18 |
8.1-8.3 |
Limit Theorems |
|
Tuesday, Nov. 19 |
Review |
|
|
Wednesday, Nov. 20 |
Final Exam |
Covers 6.1-8.3 |
Homework: In our textbook, the exercises occur at the end of chapters, and are divided into two categories: theoretical exercises and problems. In the list below the underlined problems in bold face are the Honor Problems to be handed in. The Due Date column includes the date the Honor Problems (HP) should be handed in, and the date of the problem session at which the Suggested Problems (SP) will be discussed.
|
Chapter |
Theoretical Exercises |
Problems |
Due Date |
|
1 |
4 7 12 |
1 2 3 7 9 12 13 17 18 19 22 23 |
SP: Oct. 29 HP: Nov. 4 |
|
2.1-2.2 |
4 5 6 7 |
1 2 3 |
SP: Oct. 31 |
|
2.3-2.6 |
3 4 6 7 10 12 15 |
6 8 13 27 |
SP: Oct. 31 HP: Nov. 4 |
|
3 |
2 3 8 10 12 13 17 |
4 5 6 7 10 24 28 32 38 |
HP: Nov. 4 SP: Nov. 5 |
|
4 |
1 2 3 4 5 16 21 22 27 |
1 5 7 8 17 48 58 60 66 |
HP: Nov. 11 SP: Nov. 5-7 |
|
5 |
1 8 9 12 14 21 26 27 |
1 3 5 10 15 23 24 27 34 |
HP: Nov. 11 SP: Nov. 7-12 |
|
6 |
1 7 8 10 13 23 |
HP: Nov. 18 SP: Nov. 12 |
|
|
7 |
4 9 16 17 24 41 45 |
3 9 19 20 46 56 58 59 |
HP: Nov. 18 SP: Nov. 14 |
|
8 |
2 3 6 7 |
1 2 4 |
HP: Nov. 20 |
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