Advanced Mathematics
Contents
- Vector Spaces
- Scalar and Vector Functions
- Differential Operators
- Line Integrals
- Triple Integrals
- Change of Variables
- Surface Integrals
- Divergence Theorem
- Theorem of Stokes
- Maxwell Equations
- Descriptive Statistics
- Two-dimensional Data
- Simple Lineare Regression
- Multivariate Data
- Probability Spaces
- Random Variables
- Expectation
- Variance
- Jointly Distributed Random Variables
- Independent Random Variables
- Covariance
- Binomial Random Variable
- Uniform Random Variable
- Normal Random Variable
- Chi-Square Distribution
- t-Distribution
- Central Limit Theorem
- Sampling Statistics
- Confidence Intervals
- Hypothesis Testing
- t-Test
- Chi-Square Test for Goodness of Fit
- Overview of various Tests
- Multivariate Random Variables
- Principal Component Analysis