Weeks 1-3: Axioms of probability, discrete probabilities
Reading: Chapters 1 and 2 of A First Course in Probability
Weeks 3-4: Random variables, distributions, densities
Reading: Chapters 3 and 4 of A First Course in Probability
Weeks 5-7: Functions of random variables, expectation
Reading: Chapters 5 and 7 of A First Course in Probability
Weeks 7-9: Independence, sums of random variables, covariance
Reading: Chapter 6 of A First Course in Probability
Weeks 9-10: Law of large numbers and central limit theorem
Reading: Chapter 8 of A First Course in Probability
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