13:54

The Metric Tensor: Definition and Properties

08:25

The Beta Function: Definition and Properties

11:48

The Metric Tensor: Introduction and Examples

07:49

The Mittag Leffler Function: Definition, Examples, Properties

09:03

The Frenet-Serret Formulas | Differential Geometry

12:28

Introduction to Fractional Calculus: the Fractional Derivative

10:35

Introducing Torsion and Special Planes | Differential Geometry

14:05

Analyzing the Infinite Square Well Solution | Quantum Mechanics

12:17

How to Solve a 4th Order Partial Differential Equation | Vibrating Beam Part 2/2

06:58

Introducing Minkowski/Spacetime Diagrams in Special Relativity

11:56

Dynamical Systems on a Circle | Nonlinear Dynamics

13:43

Quotient Law for Tensors and Levi-Civita Symbol

09:19

Real Analysis: The Natural Numbers and Mathematical Induction

12:56

Real Analysis: Introduction to Functions

12:33

Duhamel's Principle for Partial Differential Equations

11:37

Solving the Schrodinger Equation for the Quantum Harmonic Oscillator | Part 1

14:18

Solving the Infinite Square Well Problem | Quantum Mechanics

07:30

Solving the Heat Equation with Convection | Partial Differential Equations

14:11

Fourier Transforms in Partial Differential Equations

10:12

Relativity of Velocity | Special Relativity

10:45

The Lorentz Transformation | Special Relativity

09:26

Length Contraction in Special Relativity

12:48

Deriving the Second Variation | Calculus of Variations

14:15

Hermite Differential Equation and Hermite Polynomials

12:27

Time Dilation in Special Relativity: Derivation + Example

11:34

Theorems on Stationary States | Quantum Mechanics

12:44

How to Solve a 4th Order Partial Differential Equation | Vibrating Beam Part 1/2

13:14

Isoperimetric Problems | Calculus of Variations

12:25

Stationary States in Quantum Mechanics

11:14

The Material Derivative | Fluid Mechanics

14:19

Conformal Mapping in Complex Variables

07:57

Introducing Weird Differential Equations: Delay, Fractional, Integro, Stochastic!

10:17

Mathematical model of epidemics: Development and Analysis (2/2)

07:56

Mathematical model of epidemics: Development and Analysis (1/2)

10:41

Stationary Phase Approximation

08:11

The Time-Independent Schrodinger Equation

12:55

Complex Integration Using Branch Cuts

09:30

Introducing Branch Points and Branch Cuts | Complex Variables

12:00

Winding Numbers and Meromorphic Functions Explained! | Complex Variables

08:34

Curvature: Intuition and Derivation | Differential Geometry

14:17

How to Use Perturbation Methods for Differential Equations

09:26

Closed Curves and Periodic Curves | Differential Geometry 4

09:08

Arc Length as a Parameter | Differential Geometry 3

10:10

Supercritical and Subcritical Pitchfork Bifurcations | Nonlinear Dynamics and Chaos

09:38

Transcritical Bifurcations | Nonlinear Dynamics and Chaos

11:27

Rouche's Theorem and the Fundamental Theorem of Algebra

11:49

The Argument Principle | Complex Variables

13:07

The Kramers-Kronig Relations | Complex Variables

10:35

Tensor Operations: Contractions, Inner Products, Outer Products

12:06

Tensor Transformation Laws: Contravariant, Covariant, and Mixed Tensors

11:37

Contravariant and Covariant Vectors | 2/2

10:48

Contravariant and Covariant Vectors | 1/2

11:48

Coordinate Transformations and Curvilinear Coordinates | Tensor Calculus

07:25

The Vertebrobasilar Circulation | Neurology

08:58

Arc Length and Reparameterization | Differential Geometry 2

03:58

Basic Linear Algebra Concepts for Tensors

13:04

Introducing Special Relativity and the Relativity of Simultaneity

08:59

Laplace's Method and the Stirling Approximation

10:01

The Geodesic Problem on a Sphere | Calculus of Variations

14:45

How to Integrate Fourier Integrals | Complex Variables