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151 видео
Introduction to Tensors
An Introduction to Hilbert Spaces
Derivation of the Euler-Lagrange Equation | Calculus of Variations
Introduction to the Frobenius Method
Introduction to Calculus of Variations
Complex Integrals and Cauchy's Integral Theorem.
Bessel Functions and the Frobenius Method
Introduction to Complex Functions
How to find the Residues of a Complex Function
Laurent Series of Complex Functions
Introduction to Partial Differential Equations: Definitions/Terminology
Einstein Summation Convention: an Introduction
Introducing the Wave Equation: Derivation and Intuition
Rouche's Theorem and the Fundamental Theorem of Algebra
Lagrange Equations: Multiple Particles and Constraints
Hermite Differential Equation and Hermite Polynomials
Solving the Infinite Square Well Problem | Quantum Mechanics
Introduction to Quantum Mechanics: Schrodinger Equation
Introducing Convolutions: Intuition + Convolution Theorem
Introducing Branch Points and Branch Cuts | Complex Variables
Lorentz Scalars and Proper Time | Special Relativity
The Argument Principle | Complex Variables
Conformal Mappings and the Local Inverse | Complex Variables
The Catenary Problem and Solution
How to Use Perturbation Methods for Differential Equations
The Brachistochrone Problem and Solution | Calculus of Variations
Real Analysis Introduction: Sets and Set Operations
Solving the Heat Equation with Convection | Partial Differential Equations
Introduction to Differential Geometry: Curves
Coordinate Transformations and Curvilinear Coordinates | Tensor Calculus
Dynamical Systems on a Circle | Nonlinear Dynamics
Contravariant and Covariant Vectors | 1/2
Introducing Weird Differential Equations: Delay, Fractional, Integro, Stochastic!
Christoffel Symbol Transformation Laws | Tensor Calculus
Introduction to Fractional Calculus: the Fractional Derivative
The Vertebrobasilar Circulation | Neurology
Calculus of Variations: an Animated Introduction!
The Spacetime Interval and Causality | Special Relativity
Curvature: Intuition and Derivation | Differential Geometry
Contravariant and Covariant Vectors | 2/2
The Generalized Uncertainty Principle | Proof/Derivation
Legendre's ODE II: Deriving a formula for Legendre Polynomials
Introducing Dual Vectors: Intuition and Definition
The Covariant Derivative of a Tensor
Winding Numbers and Meromorphic Functions Explained! | Complex Variables
The Geodesic Problem on a Plane | Calculus of Variations
Complex Integration Using Branch Cuts
Fourier Transforms in Partial Differential Equations
Solving ODEs by Series Solutions: Legendre's ODE
The Quantum Harmonic Oscillator Solution | Schrodinger Equation | Part 1
Commutators and Eigenvalues/Eigenvectors of Operators
How Gravity alters Time and Frequency: Gravitational Redshift and Time Dilation
Quotient Law for Tensors and Levi-Civita Symbol
Bessel Functions of Half-Integer Order
