Date

Topics

Slides

Matlab

Homework
(not graded)

Exams

Aug 26

 Why is knowledge of probability and statistics essential for bioengineering? Lecture 1      

Aug 28

Random experiments. Sample space, Events, Venn diagramms. 

Definitions of probability:Statistical

 Lecture 2 coin_toss_template.m    

Sep 2

Definitions of probability:
Inductive. 

Paradoxes of inductive definition of probability

Combinatorics

 Lecture 3      

Sep 4

Conditional probability

Independence of events

Bayes' theorem

Specificity/Sensitivity of tests

Circuit diagrams (start)

 Lecture 4      

Sep 9

Circuit diagrams (end)

Discrete random varibales,

PMF. CDF, CCDF, 
Mean, Variance, Skewness, Geometric mean

 Lecture 5 circuit_template.m    

Sep 11

Uniform distribution

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

Bernoulli trials

Binomial Distribution

 Lecture 6 binomial_template.m  


 

Sep 16

 Poisson Distribution

Genome Assembly 		 Lecture 7

 

    

Sep 18

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.

Negative Binomial Distribution

Cancer: Driver and Passenger Genes

 

 Lecture 8      

Sep 23

Secretary problem

Monty Hall problem

no in-person class:
watch the recorded lecture

Lecture 9

Video recording

 

    

Sep 25

Midterm review

no in-person class:
review the slides

 Midterm 1 reveiw

 

    

Sep 30

 

no in-person class:
exam time


Midterm exam 1 will be held 
Tue Sep 29 – Thu Oct 1
Duration 50 min,
Self-reserve opens Thu Sep 17

  

 

    

Oct 2

Continuous random variables.

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

Uniform continuous distribution. 

Constant rate (Poisson) process.

Exponential distribution.

 Lecture 10      

Oct 7

          

Oct 9

          

Oct 14

          

Oct 16

          

Oct 21

           

Oct 23

          

Oct 28

          

Oct 30

          

Nov 4

 Tentative dates of the
midterm exam 2 are 
Tue Nov 3 – Thu Nov 5
Duration 50 min,
Self-reserve opens Thu Oct 22

In case the exam will be held on these dates,  this lecture will be canceled		        

Nov 6

          

Nov 11

          

Nov 13

    

 

    

Nov 18

    

 

    

Nov 20

    

 

    

Dec 2

          
Dec 4          
Dec 10-
Dec 15		 Tentative dates of the
final exam are 
Thu Dec 10 – Tue Dec 15
Duration: 1 h 50 min
Registration opens: Mon Oct 19