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Pre-Calculus

Basic Number Theory

Basic Algebra

Basic Trignometry

Linear Algebra

Vectors

Functions as vectors

Composite Functions

Row Vector and Column Vector

Dot Product

Projection of a vector onto another

Cosine Similarity

Distance Metrics

Euclidean Distance

Manhattan Distance

General equation of line/plane

Matrices as Transformations to Vector

Basis of a Matrix

Eigen values and Eigen vectors

Matrix Factorization

Singular Value Decomposition (SVD)

Eigen Value Decomposition

Non-Negative Matrix Factorization (NMF)

Calculus

Functions

Dependent and Independent variables

Sigmoid as Squating Function

Derivative

Geometrical Interpretation of Derivative

Chain Rule in Differentiation

Integral

Geometrical Interpretation of Integrals

Partial Derivative

Gradient

Geometrical Interpretation of Gradient

Probability

Empirical Probability

Joint Probability

Conditional Probability

Bayes Theorem

Chain Rule in Probability

Probability Distributions

Gaussian Distribution

Uniform Distribution

Log-normal Distribution

Basics of Information Theory

Entropy

Information Gain

Statistics

Descriptive Statistics

Measures of Central Tendency

Mean

Median

Mode

Measures of Dispersion

Variance

Covariance

Correlation

Pearson Correlation Coefficient

Sphearman's Rank Correlation

Correlation Vs Causation

Confidence Interval

Inferential Statistics

Central Limit Theorem

Concept of Statistical Testing

P-value

Z-Test

T-Test