Probability 
1  C1  Introduction, counting and sets (PDF)  Class 1 Slides with Solutions (PDF) 
C2  Probability basics (PDF)  Class 2 Slides with Solutions (PDF) 
2  C3  Conditional probability, Bayes' theorem (PDF)  Class 3 Slides with Solutions (PDF) 
C4  Discrete random variables, expectation (PDF)  Class 4 Slides with Solutions (PDF) 
3  C5 
Variance, continuous random variables (PDF) Gallery of continuous variables, histograms (PDF)

Class 5 Slides with Solutions (PDF) Class 5 Slides, cont'd with Solutions (PDF)

4  C6  Expectation, variance, law of large numbers and central limit theorem (PDF)  Class 6 Slides with Solutions (PDF) 
C7  Joint distributions: independence, covariance and correlation (PDF)  Class 7 Slides with Solutions (PDF) 
5  C8  Review for exam 1 (PDF)  Class 8 Slides with Solutions (PDF) 
C9  No slides; exam 1 during class  
Statistics: Bayesian Inference 
5  C10  Introduction to statistics; maximum likelihood estimates (PDF)  Class 10 Slides with Solutions (PDF) 
6  C11  Bayesian updating with known discrete priors (PDF)  Class 11 Slides with Solutions (PDF) 
C12  Bayesian updating: probabilistic prediction; odds (PDF)  Class 12 Slides with Solutions (PDF) 
7  C13  Bayesian updating: continuous prior, discrete data (PDF)  Class 13 Slides with Solutions (PDF) 
C14  Beta distributions: continuous data (PDF)  Class 14 Slides with Solutions (PDF) 
8  C15  Conjugate priors; choosing priors (PDF)  Class 15 Slides with Solutions (PDF) 
C16  Probability intervals (PDF)  Class 16 Slides with Solutions (PDF) 
Statistics: Frequentist Inference—Null Hypothesis Significance Testing (NHST) 
9  C17  Frequentist methods; NHST (PDF)  Class 17 Slides with Solutions (PDF) 
C18  NHST II: Significance level, power, ttests (PDF)  Class 18 Slides with Solutions (PDF) 
10  C19  NHST III: Gallery of tests (PDF)  Class 19 Slides with Solutions (PDF) 
C20  Comparison of Bayesian and frequentist inference (PDF)  Class 20 Slides with Solutions (PDF) 
11  C21  Review for exam 2 (PDF)  Solutions file: review of exam 2 (PDF) 
Statistics: Confidence Intervals; Regression 
12  C22  Confidence intervals for normal data (PDF)  Class 22 Slides with Solutions (PDF) 
C23  Confidence intervals II (PDF)  Class 23 Slides with Solutions (PDF) 
13  C24  Bootstrap confidence intervals (PDF)  Class 24 Slides with Solutions (PDF) 
C25  Linear regression (PDF)  Class 25 Slides with Solutions (PDF) 
14  C26  Review for final exam (PDF) 
Problems file: review for final exam (PDF) Solutions file: review of final exam (PDF)

C27  Review for final exam, cont'd (PDF) 
Problems file: review for final exam, cont'd (PDF) Solutions file: review of final exam, cont'd (PDF)
