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Math 186  —  Winter 2020
Introduction to Probability and Statistics for Bioinformatics
Calendar

Updated 3/11/20

Note: This calendar is approximate and is subject to revision.
Chapter numbers are for the class textbook by Larsen & Marx.
Slides are posted in advance for most lectures, but are subject to revision.

Week 1
Jan. 6
  • Syllabus
  • 2.2 Sample spaces (slides 1-20)
  • 2.3 Probability functions
Jan. 8
Jan. 10
  • 2.4 continued and 2.5 Independence (slides 18-35)
Week 2
Jan. 13
  • 2.5 continued (rest of slides)

  • Mendel's Laws and Haldane's mapping function (not in textbook) (slides)

  • Double-stranded DNA (not in textbook) (slides)

Jan. 15
Jan. 17
  • 2.7 Birthday problem, continued (rest of slides)

  • 3.1-3.3 Random variables, binomial distribution (slides 1-11)
    The Hypergeometric Distribution (Ch. 3.2, pp. 109-116) is postponed to later in the quarter.
Week 3
Jan. 20 Martin Luther King, Jr. Holiday
Jan. 22
  • 3.1-3.3 continued (rest of slides)

  • 3.4 Continuous random variables (slides 1-19)
Jan. 24
  • 3.4 continued (rest of slides)

  • 3.5 Expected values and 3.6 Variance (slides 1-17)
Week 4
Jan. 27
  • 3.5-3.6 continued (rest of slides)

Multiple random variables (discrete):
  • 3.8 Functions of one random variable (discrete, continuous) (slides 1-11)
  • 3.7, 3.8, 3.9, 3.11 Joint density (discrete random variables)
Jan. 29
  • continued (slides 12-27)
  • Multinomial distribution.
  • Joint PDF and CDF. Marginal densities. Conditional probability density. Independent random variables. Expected values.
Jan. 31
  • continued (rest of slides)
  • Expected values and variance.
  • Mean and variance of the binomial distribution.

Multiple random variables (continuous):
  • 3.7, 3.8, 3.9, 3.11 - joint distributions for continuous random variables (slides 1-8)
Campuswide deadline to drop without a "W"
Week 5
Feb. 3
  • continued (slides 9-24)
Feb. 5
  • continued (rest of slides)

  • 4.4-4.5 Discrete distributions: geometric, negative binomial (slides)

Feb. 7 Midterm
Week 6
Feb. 10
Feb. 12
  • continued (slides 23-28): exponential distribution
    Skip slides 29-32 on "Gamma distribution"

  • 4.3 Normal distribution and relation to binomial distribution (slides 1-14)
Feb. 14
  • continued (rest of slides; skip 37-40)

Campuswide deadline to drop with a "W"
Week 7
Feb. 17 Presidents' Day Holiday
Feb. 19
Feb. 21
  • 5.3-5.4 continued (rest of slides)

Week 8
Feb. 24
Feb. 26
  • 6.1-6.4 continued (slides 23-39)
Feb. 28
  • 6.1-6.4 continued (rest of slides)

  • 7.1-7.4 Student t-test (slides 1-16)
Week 9
Mar. 2
Mar. 4
  • 10.3, 10.5 continued (review + up to slide 20; slides 21-26 are optional)

  • 11. Linear regression (slides 1-10)
Mar. 6
Week 10
Mar. 9
  • 9. Two-sample tests (in our textbook) and Microarrays (not in our textbook) (slides 1-22)
Mar. 11
  • Microarrays, continued (rest of slides)
  • Additional slides on False Discovery Rate (slides)

  • Lander-Waterman sequence assembly statistics (not in our textbook) (slides 1-8)
Mar. 13
  • Lander-Waterman sequence assembly statistics, continued (rest of slides)
Week 11
Wed.
Mar. 18 		Final exam, 11:30 a.m.-2:30 p.m.