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Related lectures (32)
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Parametric Pendulum: Equations and Solutions
MOOC: Lagrangian Mechanics
Analyzes a parametric pendulum using Lagrange method, Mathieu equation, and Ince method to find solutions.
Derivative of a Function: Tangent Equation
Explores finding tangent equations and slopes through derivatives.
Lorenz Model: interaction of light with bound electron
Explores laser technology, the Helmholtz wave equation, and the electron oscillator model.
Forced Harmonic Oscillator: Resonance
Explores the forced harmonic oscillator, damping, and resonance phenomenon, focusing on the amplitude of oscillations in resonance.
Frenet-Serret Formulas: Curvature and Torsion
Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.
History of lasers: Lorentz model for atom/light interaction
Explores the history of lasers and the Lorentz model for atom-light interaction.
MHD Stability and Equilibrium
Explores MHD equilibrium and stability, emphasizing energy considerations for determining stability.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Frobenius Method: Introduction
Introduces the Frobenius method for solving second-order linear ODEs around ordinary points.
Polymer Collapse: Covolume and Free Energy
Explores polymer collapse, emphasizing covolume and free energy in the process.
Derivatives and Tangent Lines: Understanding Functions and Limits
Explores derivatives, functions, limits, and tangent lines in calculus.
Electromagnetic Waves and Laser Amplification
Explores laser light amplification, Maxwell's equations, electromagnetic waves, electron oscillation, absorption coefficients, and refractive indices.
Implicit Function Theorem: Tangent Hyperplane
Explores the implicit function theorem for n=2 and n=3, focusing on tangent hyperplanes.
Implicit Function Theorem
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Covers the Implicit Function Theorem for functions of two variables and explores graphical representations and tangent lines.
Differential Equations: Speed Variation Analysis
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Covers the analysis of speed variation using differential equations and small time intervals.
Higher Order Methods: Iterative Techniques
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Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
Solving Differential Equations with Bernoulli's Equation
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Covers solving differential equations using Bernoulli's equation and variable transformations to simplify linear inhomogeneous forms.
Advanced Physics I: Kepler's Laws and Orbital Mechanics
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Covers advanced physics topics including angular momentum, gravitational forces, and Kepler's laws.
Existence and Uniqueness of Solutions in Differential Equations
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Explores the existence and uniqueness of solutions in differential equations, including separable equations and open intervals.
Ordinary differential equations
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Introduces ordinary differential equations of higher order and their solutions with initial conditions.
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