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Notes

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CIS

Discrete Structures

Graph Theory

Eulerian Graphs

Graph Properties

Hamiltonian Graphs

Binary relations

Bipartite Graphs

Boolean Algebra

Counting Theorems

Discrete Distributions

Discrete Sequences

Product Notation

Summation Notation

MATH

Adv Calc

Applications of Partial Derivatives

Convergence of Series

Critical Points

Directional Derivatives

Gradient Vector

Multi-variable Change of Variables

Multi-Variable Curves & Surfaces

Multi-variable Differential Calculus

Multi-variable Functions

Multi-variable Integration

Differential Equations

Bernoulli Equations

DE solutions as series

Differential Equations

Direct Integration

Exact Equations

Higher-Order DEs

Integrating Factor

Laplace Transforms

Linear Dependence

Nonhomogeneous DEs

Reduction of Order

Second-Order Linear DEs

Solution to DEs

Solutions to First-Order DEs

Standard form for linear DEs

Total Derivative

STATS

Cheatsheets

3100 Cheat Sheet

3110 Final Cheat Sheet

3110 Midterm Cheat Sheet

Intro to Stats

Bernoulli Distribution

Bernoulli Trials

Binomial Distribution

Central Limit Theorem

Chi-Squared Distribution

Chi-Squared Test

Coefficient of Determination

Combinatorial methods

Confidence Intervals

Continuous Normal Distributions

Descriptive Statistics

Experiments and Observational Studies

Hypergeometric Distribution

Hypothesis Testing

Hypothesis Types

Inference for Proportions

Inference for two means

Negative Binomial Distribution

Normal Distribution

Pearson Correlation Coefficient

Poisson Distribution

Population and Samples

Probabilities concepts

quantile-quantile plots (QQ plot)

Sample Proportion

Sampling Distributions

Simple Linear Regression

Test Statistics

Math Stats 1

Beta Distribution

Chebyshev's Theorem

Conditional Distributions

Conditional Expectation

Conditional probability

Discrete Uniform Distribution

Exponential Distribution

Gamma Distribution

Geometric Distribution

Marginal Distributions

Markov inequality

Mathematical Expectation

Moment Generating Functions

Moments of Linear Combinations

Multivariable Distributions

Probability Densities

Probability Distributions

Product of Moments

Random Variables

Uniform Distribution

Math Stats 2

Association Test

Bayesian Approach

Bayesian estimation

Change of Random Variables

Cramér-Rao inequality

Critical Region

Distribution function technique

Finding point estimators

Goodness of fit test

Interval estimation for mean

Interval estimation for proportions

Interval estimation for the difference between means

Interval estimation for the difference between proportions

Interval estimation for variances

Interval Estimation

Likelihood ratio test

Mean square error

Method of maximum likelihood

Method of moments (MM)

Multinomial Distribution

Neyman-Pearson lemma

Order Statistics

Parametric Models

Pivot Statistic

Point Estimation

Power function of a test

Test of difference between means

Test of k proportions

Test of Proportions

Test of Variances

Transformation technique

Research

Expectation-Maximization Algorithm

Gaussian Finite Mixture Model

Generalized Linear model

Minorization-Maximization Algorithm

Penalized Likelihood

Stats 2

Multiple Linear Regression

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Pivot Statistic

$Z$ is a pivot statistic because it has set parameters

$Z \sim N (0, 1)$

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Hypothesis Testing

Interval estimation for mean