Date

Topics

Slides

Matlab

Jan 27

 Why probability and statistics is needed for bioengineering? Lecture 1  

Jan 29

Random experiments. Sample space, Events, Venn diagramms. 

Definitions of probability:Statistical (part 1)

 Lecture 2

coin_toss_template.m

 

coin_toss.m

Feb 3

Definitions of probability:
Inductive. 

Paradoxes of inductive definition of probability

Combinatorics

 Lecture 3  

Feb 5

Conditional probability

Independence of events

Bayes' theorem

Specificity/Sensitivity of tests

Circuit diagrams

 Lecture 4 circuit_template.m

Feb 10

Discrete random varibales,

PMF. CDF, CCDF, 
Mean, Variance, Skewness

Uniform distribution

The distribution of the
Ct value in COVID-19
PCR tests

 Lecture 5  

Feb 12

Bernoulli trials

Binomial Distribution

Poisson Distribution

Genome Assembly (part 1)

 Lecture 6 poisson_template.m

Feb 17

 Genome Assembly (cont)
 

Geometric distribution.

Phylogenetic trees and time to the most recent common ancestor. 

Mitochondrial Eve and Y-chromosme Adam. 
 

Time to the Most Recent Common Ancestor (MRCA) for the nuclear genome

 Lecture 7

 

Feb 19

Mitochondrial Eve & Tree of Life (continued)

Negative Binomial Distribution

Cancer: Driver and Passenger Genes

 Lecture 8  

Feb 24

 NO LECTURE. TIME TO PREPARE FOR THE MIDTERM 1  

 

Feb 26

Secretary problem

Monty Hall problem

Simpson's paradox

 Lecture 9

monty_hall_template.m

Mar 3

Continuous random variables.

Probability Density Function, CDF, CCDF, Mean, Variance, Standard deviation. Skewness.

Uniform continuous distribution. 

 Lecture 10

 

Mar 5

Constant rate (Poisson) process.

Exponential distribution.

Erlang and Gamma distributions

 Lecture 11 exponential_gamma_template.m

Mar 10

Gaussian distribution

Standardizing and working with the CDF table

 Lecture 12

gaussian_template.m

PINT_binding_energy.m

PINT_binding_energy.mat

Mar 12

Fitting Gaussian distribution to the data for binding energies of protein-protein interactions 

Multiple random variables. Joint, Marginal, and Conditional PMFs

 Lecture 13  

Mar 17

  SPRING BREAK    

Mar 19

 SPRING BREAK     

Mar 24

      

Mar 26

      

Mar 31

      

Apr 2

 NO LECTURE.  THE MIDTERM 2    

Apr 7

      

Apr 9

      

Apr 14

    

 

Apr 16

    

 

Apr 21

    

 

Apr 23

    

 

Apr 28

      
 Apr 30      
May 5      
Final 
Exam