Math 20 - probability
Dartmouth College
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This is a tentative syllabus subject to change at my discretion without prior notification.
Sections |
Brief Description |
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Week 1 |
1.2, 3.1 |
Basic probability, combinatorics and permutations. |
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Week 2 |
3.2, 4.1 |
Combinations and conditional probability |
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Week 3 |
6.1, 6.2 |
Expected value and variance |
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Week 4 |
5.1 |
Important distributions. |
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Week 5 |
8.1 |
Law of large numbers. |
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Week 6 |
2.2, 5.2 |
Continuous density functions and the uniform, exponential and normal densities |
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Week 7 |
9.1, 9.2 |
Central limit theorem: Bernoulli trials and
Central limit theorem: Independent trials
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Week 8 |
11.2, 11.3 |
Introduction to Markov chains; absorbing Markov chains |
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Week 9 |
11.3 |
Regular Markov chains, ergodic Markov chains |