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

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

Advanced Physics I: Oscillations and Dynamics

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

Physics 1: Small Oscillations and Equilibrium Points

Explores small oscillations, equilibrium points, harmonic oscillators, and gravitational fields in physics, including historical perspectives on celestial movements.

Linear Second Order ODEs

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.

Structural Mechanics Principles: Equilibrium and Stability

Explores the principles of structural mechanics, including internal loads, equilibrium stability, and the superposition principle.

Characteristic Polynomials: Solutions and Roots

Covers characteristic polynomials, their solutions, and roots for different types of polynomials.

General Solutions of Differential Equations

Explores general solutions of differential equations with a focus on x

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.

Differential Equations: General Solutions and Methods

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Virtual Work II: Examples of Potentials

Covers examples of potentials in virtual work for structural mechanics.

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Introduction to Plasma Physics

Covers the dynamics of particles in electric and magnetic fields in plasma physics.

Mechanical Energy: Equilibrium and Oscillations

Explores mechanical energy, equilibrium, and small oscillations in rectilinear motion.

Balance in a Rotating Ring

Covers the concept of balance in a rotating ring and harmonic oscillators.

Forced Harmonic Oscillator

Explores the forced and damped harmonic oscillator, focusing on resonance and initial conditions.

Coupled Oscillators: General Solutions

Explores general solutions for coupled oscillators, focusing on single and N harmonic oscillators, eigenmodes, and initial conditions.

General Solutions of Differential Equations

Explores general solutions of differential equations, emphasizing homogeneous and inhomogeneous equations and the process of finding solutions.

Virtual Work in Structural Mechanics

Explores virtual work in structural mechanics, stability criteria, reaction load calculations, and mechanical systems with springs.

Advanced Physics I: Oscillators and Dynamics

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