Practice Math

Calculus 1

Derivatives

Quiz 1: Basic Derivatives

Quiz 2: Advanced Derivatives

Calculus 2

Integrals

Quiz 1: Basic Integrals

Multivariable Calculus

Partial Derivatives

Quiz 1: Basic Partial Derivatives

Differential Equations

Differential Equations

Quiz 1: Basic Differential Equations

Probability

Basic Probability

Quiz 1: Basic Probability

Mathematical Statistics

Expectation

Expectations can be defined in a couple of different ways. It is the weighted average that uses the probability of all possible outcomes. In the discrete case, we can use the summation for all discrete cases, and in the continuous case, it will be an integration from $-\infty, \infty$. So $E[X]=\sum_{i=1}^{\infty} x_ip_i(x)$ where x is the distinct values, and p(x) is the probability of the distribution $X$ which we are taking the expectation for is x. The continuous case is defined by $E[X]=\int_{-\infty}^{\infty}xf(x)$ where x is defined same as the continuous case and f(x) is defined as the probability density function for the variable $X$

Quiz 1: Basic Inference

Linear

Matrices

Quiz 1: Basic Matrices

Discrete

Logic

Quiz 1: Basic Logic

Abstract

Groups

Quiz 1: Basic Groups