| Week | Topics | Study Materials | Materials |
| 1 |
Introduction, principle of counting, permutations, combinations
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| 2 |
Probability basics
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| 3 |
Conditional probability, independence and Bayes' theorem
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| 4 |
Discrete random variables, expectation
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| 5 |
Variance of discrete variables, continuous random variables
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| 6 |
Expected value and variance of continuous random variables, histograms
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| 7 |
Law of large numbers, central limit theorem, histograms
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| 8 |
Semester break
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| 9 |
Joint distributions, independence, covariance, and correlation
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| 10 |
Midterm exam
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| 11 |
Introduction to statistics, likelihood, maximum likelihood estimation
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| 12 |
Bayesian updating with discrete priors
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| 13 |
Predictive probabilities, Bayesian updating, odds
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| 14 |
Bayesian updating, continuous prior, discrete data, continuous data with continuous priors
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| 15 |
Final exam
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