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MSL - Elementary Combinatorics & Probability
COURSE MATERIALS
Lectures
Lecture 1 - Sets, Multiplication and Addition Principles - PDF - PDFLecture 2 - The Principle of Inclusion-Exclusion - PDF
Lecture 3 - Permutations and Combinations
Lecture 4 - Applications of Permutations and Combinations - PDF
Lecture 5 - The Pigeonhole Principle - PDF Lecture 6 - The Probability of an Event - PDF
Lecture 7 - The Probability of an Event
Lecture 8 - Conditional Probability - PDF
Lecture 9 - Independent Events Project - Modeling Blackjack - PDF
H1 : 14, 25, 28, 31, 33 - Sets, Multiplication and Addition Principles
H2 : 4, 12, 14, 15, 17 - The Principle of Inclusion-Exclusion
H3 : 34, 38, 44, 52, 54 - Permutations and Combinations
H4 : 1, 3, 6, 7, 12 - Applications of Permutations and Combinations
H5 : 4, 6, 12, 15, 20 - The Pigeonhole Principle
H6 : 9, 12, 17, 28, 39 - The Probability of an Event
H7 : 49, 61, 67, 72, 73 - The Probability of an Event
H8 : 3, 5, 6, 8, 11, learn Texas Hold'em rules - PDF
H9 : 3, 7, 8, 19, 20 - Conditional Probability
Tests and Exam
Test 1 (PDF) - Answers (PDF)
Test 2 (PDF) - Answers (PDF)
ExamT (PDF) - Answers (PDF)
Project
| Name |
H1 |
H2 |
H3 |
H4 |
H5 |
H6 |
H7 |
H8 |
H9 |
Sum |
| Giancarlo |
10 | 7 | 8.5 | 2.5 | 8 | 9 | 9 | 5 | 6 | 65 |
| Laith |
9 | 7 | 6 | 7 | 7.5 | 8 | 6.5 | 5 | 8 | 64 |
| Manuel |
8 | 7 | 10 | 7 | | | | | | 32 |
| Miguel |
8 | 8 | 6 | 2.5 | 4.5 | 8 | 6.5 | 4 | 4 | 51.5 |
| Nicolas |
9 | 9 | 9 | 7 | 8.5 | 9 | 9 | 5 | 4 | 69.5 |
| Nivedita |
10 | 9 | 9 | 5 | 10 | 9 | 9 | 7 | 10 | 78 |
| Pang | 10 | 10 | 9 | 7 | 7.5 | 9 | 8 | 10 | 9 | 79.5 | | Sanit | 8 | 9 | 9 | 8 | 8.5 | 10 | 8 | 10 | 8 | 78.5 | | Sun | 10 | 8 | 9 | 9 | 9.5 | 9 | 8 | 10 | 10 | 82.5 | | Victoria | 10 | 8 | 5 | 4 | 7.5 | 9 | 5.5 | 5 | 4 | 58 | | Warut | 10 | 10 | 9 | 7 | 8.5 | 9 | 8.5 | 10 | 8 | 80 |
| Max.Poss. |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
90 |
| Name |
Test1 |
Test2 |
ExamT
|
Project |
| Giancarlo |
14 | 13 | 11 | 15 |
| Laith |
13 | 8 | 8 | 16 |
| Manuel |
| 12 | | |
| Miguel |
12 | 8 | 14 | 17 |
| Nicolas |
13 | 17 | 18 | 16 |
| Nivedita |
18 | 10 | 9 | 15 |
| Pang | 18 | 15 | 18 | 17 | | Sanit | 14 | 13 | 16 | 19 | | Sun | 19 | 18 | 16 | 17 | | Victoria | 16 | 10 | 9 | 17 | | Warut | 19 | 15 | 16 | 19 |
| Max.Poss. |
20 |
20 |
20 |
20 |
Percents of the Final Grade
| Name |
HomeW* |
Test1 |
Test2 |
ExamT |
Project |
ClassP** |
★ |
Sum |
% |
| Giancarlo |
24 | 7 | 6.5 | 11 | 15 | 9 | 5 | 77.5 | 81 |
| Laith |
23 | 6.5 | 4 | 8 | 16 | 9 | 6 | 72.5 | 76 |
| Manuel |
12 | | 6 | | | 5 | 3 | 26 | 27 |
| Miguel |
19 | 6 | 4 | 14 | 17 | 10 | 7 | 77 | 81 |
| Nicolas |
25 | 6.5 | 8.5 | 18 | 16 | 9 | 8 | 91 | 95 |
| Nivedita |
28 | 9 | 5 | 9 | 15 | 10 | 7 | 83 | 87 |
| Pang | 29 | 9 | 7.5 | 18 | 17 | 10 | 5 | 95.5 | 100 | | Sanit | 29 | 7 | 6.5 | 16 | 19 | 9 | 4 | 90.5 | 95 | | Sun | 30 | 9.5 | 9 | 16 | 17 | 9 | 4 | 94.5 | 99 | | Victoria | 21 | 8 | 5 | 9 | 17 | 9 | 5 | 74 | 77 | | Warut | 29 | 9.5 | 7.5 | 16 | 19 | 10 | 4 | 95 | 99 |
| Max.Poss. |
30% |
10% |
10% |
20% |
20% |
10% |
∞ |
∞ |
100% |
* The percentage of your homework is calculated as the maximum percentage times the ratio of your score to the maximum score
** In-class participation takes into account your class attendance and involvement in the process
LITERATURE
1. Discrete Mathematics, Gary Chartrand, Ping Zhang, Waveland Press 2011
2. Introduction to Counting & Probability, David Patrick, The Art of Problem Solving 2007
3. Schaum's Outline of Probability and Statistics, John Schiller, R. Alu Srinivasan, Murray Spiegel, McGraw-Hill 2008 4. Precalculus, Michael Sullivan, Pearson 2017 5. Handbook of Discrete and Combinatorial Mathematics, Kenneth H. Rosen (Editor), CRC Press 2000
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