contents

Table of contents

What do you want to learn today?

Mathematics review

Solving equations
Function inverse
Quadratic equation
Functions
Trigonometry
Geometry

Introduction
Vectors
Basis
Vector products
Complex numbers
Set notation

Mechanics review

Mechanics in 7 pages (PDF)

Calculus review

Introduction
Derivatives
Derivative formulas
Optimisation
Fundamental theorem
Proof of the FT
Integrals
Integration techniques
Applications
Sequences
Series

Electricity and Magnetism

Introduction
Electrostatics
Electric field
Electrostatic integrals
Gauss' law
Circuits
Capacitors
Magnetic field
Magnetic induction
AC currents
AC circuits

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Introduction
Linearity
Linear equations
RREF
Matrix operations
Matrix equations
Matrix multiplication
Determinants
Matrix inverses
Lines and planes
Projections
Vector coordinates
Vector spaces
RREF applications
Invert. matrix theorem
Linear transformations
Matrix representations
Eigenvectors
Types of matrices
Abstract vector spaces
Inner product spaces
Orthogonalization
Matrix decompositions
Complex numbers
Applications