Course Schedule

Week of Jan 15 (week 1, no class Jan 15)

• Read: 1.1, Appendix C

• Topics: Sample spaces and probabilities; Counting

Week of Jan 22 (week 2)

• Read: 1.1, 1.2, 1.3

• Topics: Sample spaces and probabilities; Random sampling; Infinitely many outcomes.

• Webwork 1 due on Jan 28

Week of Jan 29 (week 3)

• Read: 1.3, 1.4, 1.5

• Topics: Infinitely many outcomes. Consequences of the rules of probability; Random variables: a first look

• Webwork 2 and Written HW1 due on Feb 4

Week of Feb 5 (week 4)

• Read: 2.1, 2.2, 2.3

• Topics: Bayes’ formula, Independence.

• Webwork 3 and Written HW2 due on Feb 11

Week of Feb 12 (week 5)

• Read: 2.4, 3.1, 3.2

• Topics: Independent trials, Probability density functions, cumulative distribution functions.

• Webwork 4 and Written HW3 due on Feb 18

Week of Feb 19 (week 6)

• Read: 3.2

• Topics: Review for Midterm. Cumulative distribution functions, continued.

• Midterm I on Feb 20

• Webwork 5 and Written HW4 due on Feb 25

Week of Feb 26 (week 7)

• Read: 3.3, 3.4

• Topics: Expectation, variance.

• Webwork 6 and Written HW5 due on Mar 3

Week of Mar 4 (week 8)

• Read: 3.5, 4.1, 4.2, 4.3

• Topics: Gaussian distribution, normal approximation, Central Limit Theorem, Confidence intervals.

• Webwork 7 and Written HW6 due on Mar 17 (i.e., the last Sunday of spring break)

Week of Mar 11

• SPRING BREAK no classes

Week of Mar 18 (week 9)

• Read: 3.5, 4.1, 4.2,

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

• Webwork 8 and Written HW7 due on Mar 24

Week of Mar 25 (week 10)

• Read: 4.3, 4.4, 4.5,

• Topics: Confidence intervals, Poisson distribution, exponential distribution

• Miderm II on Mar 28

• Webwork 9 and Written HW8 due on Mar 31

Week of Apr 1 (week 11)

• Read: 6.1,6.2, 6.3

• Topics: Joint probability distribution functions, independence of continuous random variables

• Webwork 10 and Written HW9 due on Apr 7

Week of Apr 8 (week 12)

• Read: 8.1

• Topics: Linearity of expectation

• Webwork 11 and Written HW10 **DUE on Apr 14

Week of Apr 15 (week 13)

• Read: 8.2. 8.4, 7.1, 7.2

• Topics: Expectation and independence, covariance and correlation, sums of random variables

• Webwork 11 and Written HW10 due on Apr 21

Week of Apr 22 (week 14)

• Read: 7.1, 7.2, 5.1, 8.3

• Topics: Sums of random variables, exchangeable random variables, moment generating functions

• Written HW 11 due on Apr 28

Week of Apr 29 (week 15)

• Read: 9.1, 9.2, 9.3

• Topics: Markov Inequality, Chebyshev Inequality, General LLN, General CLT

• Webwork 12 and 13 due on May 1

• Last Day of class, April 30

• FINAL Sunday, May 5, 7:15–10:15 PM

  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