Mathematics for Data Science: Linear Algebra & Calculus

Numbers, Expressions, and Functions

Vectors: Ordered Values and Movement

Vector Length, Distance, and Dot Products

Matrices: Shape, Entries, and Transpose

Matrix Multiplication and Linear Transformations

Solving Linear Systems and Checking Inverses

Span, Independence, Basis, and Rank

Eigenvalues and Eigenvectors: Stable Directions

Change, Limits, and Continuity

Derivatives: Slope, Rules, and the Chain Rule

Partial Derivatives, Gradients, and a Descent Step

Integrals: Accumulation and the Fundamental Theorem