Schedule

Week of January 10 (week 1)

• Read: 1.1, Appendix C

• Topics: Sample spaces and probabilities; Counting

Week of January 17 (week 2)

• Read: 1.1, 1.2, 1.3

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

• Webwork 1 due on January 21

Week of January 24 (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 due on January 28
• Written Homework 1 due on January 26

Week of January 31 (week 4)

• Read: 2.1, 2.2

• Topics: Conditional probability; Bayes’ formula;

• Webwork 3 due on February 4
• Written Homework 2 due on February 2

Week of February 7 (week 5)

• Read: 2.3, 2.4

• Topics: Independence, independent trials

• Webwork 4 due on February 11
• Written Homework 3 due on February 9

Week of February 14 (week 6)

• Read: 3.1, 3.2

• Topics: Probability density functions, cumulative density functions

• Webwork 5 due on February 20
• Written Homework 4 due on February 18

Week of February 21 (week 7)

• Read: 3.3

• Topics: Review, expectation

• Midterm 1 on February 22

Week of February 28 (week 8)

• Read: 3.3, 3.4, 3.5

• Topics: Expectation, variance, Gaussian distribution, Linearity of expectation

• Webwork 6 due on March 4
• Written Homework 5 due on March 2

Week of March 14 (week 9)

• Read: 4.1, 4.2, 4.3

• Topics: Normal approximation, central limit theorem, law of large numbers, confidence intervals, Poisson distribution

• Webwork 7 due March 18
• Written homework 6 due March 16

Week of March 21 (week 10)

• Read: 4.4, 4.5, 6.1

• Topics: Poisson distribution, exponential distribution, joint probability distributions

• Webwork 8 due Monday March 28 (following week)
• Written homework 6 due March 23

Week of March 28 (week 11)

• Read: 6.2, Review

• Topics: Joint probability distribution functions, review

• Webwork 8 due Monday March 28
• Written homework 7 due March 30
• Midterm 2 March 31

Week of April 4 (week 12)

• Read: 6.2, 6.3, 8.1

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

• Webwork 9 due Saturday April 9
• Written homework 8 due April 8

Week of April 11 (week 13)

• Read: 8.1, 8.2. 8.4

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

• Webwork 10 due Saturday April 15
• Written homework 10 due April 15

Week of April 18 (week 14)

• Read: 7.1, 5.1, 8.3

• Topics: Sums of random variables, moment generating functions

• Webwork 11 due Tuesday April 26 (following week)
• Written homework 11 due April 20

Week of April 25 (week 15)

• Topics: Moment generating functions, review

• Webwork 11 due Tuesday April 26
• Written homework 12 due April 26