Lectures related to Frobenius Method: Illustration around an Ordinary Point

Quantum Chemistry: Schrödinger Equation Solutions

Explores the solutions to the Schrödinger Equation in Quantum Chemistry, emphasizing wavefunction properties and energy quantization.

Mechanics: Oscillator Harmonics

Explores harmonic oscillators' behavior under various damping conditions, covering Newton's laws, complex numbers, and Euler's formula.

Non-Harmonic Oscillators: Dynamics and Resonance

Explores non-harmonic oscillators dynamics, including forced oscillations and damped oscillations.

Advanced Physics I: Oscillations and Dynamics

Covers advanced topics in physics, focusing on oscillations and dynamics, including the harmonic oscillator and forced oscillations.

Frobenius Method: Regular Singular Points

Explores the Frobenius method for solving ODEs at regular singular points.

Frobenius Method: General Case of Regular Singular Point

Explores the Frobenius method for regular singular points in ODEs, emphasizing the nature of roots and deriving solutions.

Oscillations libres pendule

Explores the theory of simple harmonic oscillators, with a focus on pendulum dynamics.

Generating Functions: Advanced Counting

Covers the definition of generating functions and their application in solving recurrence relations.

Advanced Physics I: Kepler's Laws and Oscillations

Covers advanced physics topics such as angular momentum, gravitational forces, Johannes Kepler's laws, and harmonic oscillators.

Laurent Series and Convergence: Complex Analysis Fundamentals

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Quantum Harmonic Oscillator: Mechanics and Applications

Explores the quantum harmonic oscillator's mechanics, energy dynamics, and applications in quantum physics.

Forced Harmonic Oscillator

Explores forced harmonic oscillators, resonance, initial conditions, and collision conservation principles.

Harmonic Oscillator: Model & Energy

Explores the harmonic oscillator model, energy treatment, applications, and equations of motion.

Taylor Series: Basics and Applications

Introduces Taylor series, covering their basics and applications in approximating functions and calculating limits.

Solving the Quintic: Dominant Balance Analysis

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Harmonic Oscillator: Free Oscillation and Damping

Explores harmonic oscillators, free oscillation, and damping, including critical damping and energy analysis.

Simple Harmonic Oscillator

Explores simple harmonic oscillators, Hooke's Law, equations of motion, and graphical representations.

Forced Oscillations and Resonance

Explores forced oscillations, resonance, and harmonic oscillators, progressing to advanced physics concepts.

Cauchy-Hadamard Theorem

Explores the Cauchy-Hadamard theorem on convergence radius of power series and real analytical solutions.

Advanced Physics I: Oscillators and Dynamics

Covers advanced topics in physics, focusing on oscillators and dynamics.