Lectures related to Harmonic Oscillations and Complex Exponentials

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.

Taylor Polynomial: Order 2

Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.

Non-Harmonic Oscillators: Dynamics and Resonance

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

Taylor Polynomials: Approximating Functions in Multiple Variables

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Forced Harmonic Oscillator: Resonance Phenomenon

Covers the forced and damped harmonic oscillator, including the harmonic solution and resonance phenomenon.

Implicit Functions and Taylor Polynomials

Covers implicit functions, Taylor polynomials, and tangent equations.

Harmonic Oscillations: Superposition

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

One Dimensional Harmonic Oscillator

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Harmonic Oscillator: Solutions and Equilibrium

Explores the harmonic oscillator, equilibrium, and specific solutions in oscillations.

Taylor Polynomials: Calculating Limits and Derivatives

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Taylor Polynomials: Correction Exam 2018

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

Harmonic Oscillator: Free Oscillation and Damping

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

Approximation of Functions by Taylor Polynomials

Explores the theory and application of Taylor polynomials for function approximation and limit calculations.

Taylor Polynomial: Order 2

Presents the solution to finding the second-order Taylor polynomial of a function.

Harmonic Oscillator and Hooke's Law

Explores harmonic oscillators, Hooke's Law, and elasticity in relation to force and spring elongation.

Complex Numbers: Representations

Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

Analyse 2: Rules of Calculation: Addition

Explores the rules of calculation for Taylor polynomials, simplifying derivative computations and showcasing properties of even and odd functions.

Advanced Physics I: Oscillators and Dynamics

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

Mechanics: Oscillator Harmonics

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

Oscillations and Equilibrium

Explores oscillations, equilibrium, forces, resonance, and conservation of energy in mechanical systems.