Course materials

Math Revision Session for OSIPP (2025)

Course outline for the 2025 mathematics revision sessions in matrix algebra and introductory statistics.

Academic year: 2025
Term: Spring
University: The University of Osaka, OSIPP

The original HTML referred to PDF files that were not present in the uploaded repository. The schedule and topic descriptions are retained, and unavailable links have been removed.

Date	Session	Topics	Materials
10 Apr 2025	1	Matrix Algebra I Basic matrix notation and operations	Handout unavailableThe referenced PDF was not included in the uploaded repository.
17 Apr 2025	2	Matrix Algebra II Further matrix algebra	Handout unavailableThe referenced PDF was not included in the uploaded repository.
24 Apr 2025	3	Matrix Algebra III Advanced matrix topics and applications	Handout unavailableThe referenced PDF was not included in the uploaded repository.
8 May 2025	4	Probability foundations Sets Probability Bayes’ theorem Random variables	Handout unavailableThe referenced PDF was not included in the uploaded repository.
15 May 2025	5	Discrete random variables Multiple discrete random variables Expectation and variance rules Bernoulli, binomial, and Poisson distributions	Handout unavailableThe referenced PDF was not included in the uploaded repository.
22 May 2025	6	Continuous random variables CDFs and density functions Uniform distribution Joint and marginal distributions Covariance, correlation, independence, and conditional expectation	Handout unavailableThe referenced PDF was not included in the uploaded repository.
29 May 2025	7	Representative continuous distributions Normal and standard normal distributions Chi-squared and t distributions Degrees of freedom	Handout unavailableThe referenced PDF was not included in the uploaded repository.
5 Jun 2025	8	Population and sampling theory Population and sample Law of large numbers and central limit theorem Sampling distribution of the sample variance Standardisation using the sample variance	Handouts unavailableThe referenced notes and exercise file were not included in the uploaded repository.
12 Jun 2025	9	Estimation Point estimation Interval estimation	Handout unavailableThe referenced PDF was not included in the uploaded repository.
19 Jun 2025	10	Hypothesis testing Test statistics One-sided and two-sided tests Testing differences in means Type I and Type II errors	Handout unavailableThe referenced PDF was not included in the uploaded repository.