Limit Theorems

Lecture Description

Limit theorems, Markovs inequality theorem, Chebyshevs inequality theorem, Law of large numbers.

Course Description

This is a math course aimed at students with life science majors covering elementary probability, probability distributions, random variables, and limit theorems.

Course Index

1. Introduction: Probability and Counting
2. Probability Functions
3. Permutations
4. Probability Functions (continued)
5. Conditional Probability
6. Conditional Probability (continued)
7. Independent Events
8. Random Variables
9. Expected Values
10. Binomial Distributions
11. Midterm Review
12. Multinomial Distributions
13. Geometric Distributions
14. Poisson Distributions
15. Poisson Distributions (continued)
16. Density Function
17. Exponential Distributions
18. Normal Distributions
19. Normal Distributions (continued)
20. Standard Normal Distributions
21. Central Limit Theorem
22. Hitstogram Correction
23. Midterm Review 2
24. Analyzing Data in Probability
25. Analyzing Data in Probability (continued)
26. Limit Theorems
27. Limit Theorems (continued)
28. Course Review