Course Schedule

This schedule is subject to change as we progress through the semester.

Week 1: 8/26–8/30

• Read: 1.1, 1.2, Appendix C

• Topics: Sample spaces and probabilities; Counting; Random Sampling

Week 2: 9/2–9/6

• Read: 1.2, 1.3, 1.4, 1.5

• Topics: Random sampling; Infinitely many outcomes; Consequences of the rules of probability; Random variables

• Webwork 1 and Written HW1 due on Sunday, 9/8

Week 3: 9/9–9/13

• Recitations start this week

• Read: 1.5, 2.1, 2.2

• Topics: Random variables; Bayes’ formula

• Webwork 2 and Written HW2 due on Sunday, 9/15

Week 4: 9/16–9/20

• Read: 2.3, 2.4

• Topics: Independence; Independent trials

• Webwork 3 and Written HW3 due on Sunday, 9/22

Week 5: 9/23–9/27

• Read: 3.1, 3.2

• Topics: Probability distributions of random variables; Probability density functions; Cumulative distribution functions

• Webwork 4 and Written HW4 due on Sunday, 9/29

Week 6: 9/30–10/4

• Read: 3.3

• Topics: Expectation; Review for Midterm

• Midterm I on Thursday, 10/3

• Webwork 5 and Written HW5 due on Sunday, 10/6

Week 7: 10/07–10/11

• Read: 3.3, 3.4, 3.5, 4.1

• Topics: Expectation; variance; Gaussian distribution; Normal approximation

Week 8: 10/14–10/18

• 10/14–10/15: Fall break, no classes

• Read: 4.1, 4.2

• Topics: Normal approximation; Law of Large Numbers

• Webwork 6 and Written HW6 due on Sunday, 10/20

Week 9: 10/21–10/25

• Read:: 4.3, 4.4, 4.5

• Topics: Applications of normal approximation; Confidence intervals, Poisson approximation; Exponential distribution

• Webwork 7 and Written HW7 due on Sunday, 10/27

Week 10: 10/28–11/1

• Read: 3.5, 4.1, 4.2,

• Topics: Gaussian distribution, Normal approximation, central limit theorem, law of large numbers

• Webwork 8 and Written HW8 due on Sunday, 11/3

Week 11: 11/4–11/8

• Read: 6.1

• Topics: Joint distribution of discrete random variables; Review for midterm

• Miderm II on Tuesday, 11/5

• Webwork 9 and Written HW 9 due on Sunday, 11/10

Week 12: 11/11–11/15

• Read: 6.2, 6.3

• Topics: Jointly continuous distributions; independence of continuous random variables

• Webwork 10 and Written HW10 due on Sunday, 11/17

Week 13: 11/18–11/22

• Read: 8.1, 8.2, 8.4

• Topics: Linearity of expectation; Expectation and independence; Covariance and correlation

• Webwork 11 and Written HW11 due on Sunday, 11/24

Week 14: 11/25–11/29

• 11/27–12/1: Thanksgiving recess, NO CLASS

• Read: 8.4, 7.1, 7.2

• Topics: Covariance and correlation; Sums of random variables; Exchangeable random variables

• No homework this week

Week 15: 12/2–12/6

• Read: 5.1, 8.3, 9.1, 9.2, 9.3

• Topics: Moment generating functions; Sums and moment generating functions; Estimating tail probabilities; Law of Large Numbers; Central Limit Theorem

• Webwork 12 and Written HW12 due on Sunday, 12/8

Week 16:12/9–12/13

• Last Day of class: December 9

• Review for final exam

• Final Exam: December 13, 8:30–11:30 AM

• Webwork 13 due on Thursday, 12/12

• FINAL EXAM Friday, December 13, 8:30–11:30 AM

  Topics: Appendix C, 1.1-1.5, 2.1-2.4, 3.1-3.5, 4.1-4.5 , 6.1-6.3, 8.1, 8.2, 8.4, 7.1, 5.1, 8.3, 9.1, 9.2, 9.3