| W1 |
Jan 19 |
Basic Combinatorics I (Sec 1.1-3) slide |
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Jan 21 |
Basic Combinatorics II (Sec 1.4-6) slide |
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| W2 |
Jan 24 |
Basic Combinatorics III (Sec 1.4-6) |
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Jan 26 |
Axioms of Probability I (Sec 2.2-3) |
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Jan 28 |
Axioms of Probability II (Sec 2.4) |
HW1, Solution |
| W3 |
Jan 31 |
Axioms of Probability III (Sec 2.4) |
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Feb 2 |
Sample spaces having equally likely (Sec 2.5) slide |
Quiz1, Solution |
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Feb 4 |
Conditional Probabilities (Sec 3.2) |
HW2, Solution |
| W4 |
Feb 7 |
Conditional Probabilities (Sec 3.2) |
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Feb 9 |
Bayes's Formula (Sec 3.3), Independent Events (Sec 3.4) |
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Feb 11 |
Random Variables (Sec 4.1-2, 10) |
HW3, Solution |
| W5 |
Feb 14 |
Expectation (Sec 4.3, 4, 6) |
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Feb 16 |
Variance (Sec 4.5) |
Quiz2, Solution |
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Feb 18 |
Bernoulli RVs and Binomial RVs (Sec 4.6) |
HW4, Solution |
| W6 |
Feb 21 |
Poisson RVs (Sec 4.7) |
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Feb 23 |
Other discrete RVs (sec 4.8) |
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Feb 25 |
Intro to continuous random variables (sec 5.1) |
HW5, Solution |
| W7 |
Feb 28 |
Review Handout, Solution |
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Mar 2 |
Midterm 1 Solution |
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Mar 4 |
Intro to continuous random variables (sec 5.1) |
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| W8 |
Mar 7 |
Expectation and variance of continuous RVs (sec 5.2) |
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Mar 9 |
The uniform random variable (sec 5.3) |
Quiz3, Solution |
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Mar 11 |
Normal random variables (sec 5.4-7) |
HW6, Solution |
| W9 |
Mar 12-20 |
Spring Break |
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| W10 |
Mar 21 |
Exponential random variables (sec 5.4-7) slide |
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Mar 23 |
Gamma random variables (sec 5.4-7) |
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Mar 25 |
Joint distribution functions (sec 6.1) |
HW7, Solution |
| W11 |
Mar 28 |
Independent random variables I (sec 6.2) |
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Mar 30 |
Independent random variables II (sec 6.2) |
Quiz4, Solution |
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Apr 1 |
Sums of independent random variables (sec 6.3) |
HW8, Solution |
| W12 |
Apr 4 |
Conditional distribution (sec 6.4-5) |
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Apr 6 |
Joint distribution and expectation of functions of RVs (sec 6.7, 7.2) |
Quiz5, Solution |
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Apr 8 |
Expectation of functions of RVs (sec 7.2-3) |
HW9, Solution |
| W13 |
Apr 11 |
Review Handout, Solution |
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Apr 13 |
Midterm 2 Solution |
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Apr 15 |
Covariance (sec 7.4) lecturenote |
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| W14 |
Apr 18 |
Conditional expectation (sec 7.5) lecturenote |
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Apr 20 |
Conditional expectation (sec 7.5) lecturenote |
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Apr 22 |
Moment generating functions lecturenote |
HW10, Solution |
| W15 |
Apr 25 |
Markov's and Chebyshev's inequalities (sec 8.2,5) lecturenote |
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Apr 27 |
Other inequalities (sec 8.5) lecturenote |
Quiz6, Solution |
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Apr 29 |
Weak law of large numbers (sec 8.2, 4) lecturenote |
HW11, Solution |
| W16 |
May 2 |
Strong law of large numbers (sec 8.2, 4) lecturenote |
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May 4 |
Central limit theorem (sec 8.3) lecturenote |
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| Final Week |
May 6-12 |
Final Take-home Exam Info Practice |
Take-Home Exam: Due 5/12 at 8pm |
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May 13 |
Final PrairieLearn Exam |
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