Math Revision Session for OSIPP (Spring 2025)

Date # Title / Contents Handout
2025/4/10 1 TA Session 1 PDF
Matrix Algebra 1
2025/4/17 2 Session 2 PDF
Matrix Algebra 2
2025/4/24 3 Session 3 PDF
Matrix Algebra 3
2025/5/8 4 TA Session 4 PDF
1. Sets
2. Probability
3. Bayes' Theorem
4. Random Variable
2025/5/15 5 TA Session 5 PDF
1. Discrete Random Variable
2. Multiple discrete random variables
3. The rule for calculating the expected value
4. The rule for calculating the variance
5. Typical discrete random variables
Appendix
2025/5/22 6 TA Session 6 PDF
1. Continuous Random Variable
2. Cumulative Distribution Function (CDF)
3. Probability Density Function (PDF)
4. Uniform Distribution
5. Expectation and Variance of Continuous Random Variables
6. Joint Distribution and Marginal Distribution
7. Covariance and Correlation Coefficient
8. Independence
9. Conditional Probability and Conditional Expectation
2025/5/29 7 TA Session 7 PDF
1. Normal Distribution
2. Standard Normal Distribution
3. Chi-Squared Distribution
4. t-Distribution
5. Degrees of Freedom
2025/6/5 8 TA Session 8 PDF
exercise
1. Relationship Between Population and Sample
2. Law of Large Number
3. CLT
4. Sampling Distribution of Sample Variance
5. Sample Variance under Normal Distribution
6. Standardisation of the sample mean using the sample variance
2025/6/12 9 TA Session 9 PDF
1. Point Estimation
2. Interval Estimation
2025/6/19 10 TA Session 10 PDF
1. The Idea of Hypothesis Testing
2. Test Statistics
3. One-Sided vs Two-Sided Tests
4. Testing the Difference of Means
5. Type I and Type II Errors

畠山樹輝凪 Jukina Hatakeyama