Lectures related to Analysis IV: Exam Instructions

Covers the wave equation of d'Alembert and physical wave illustrations on various systems.

Covers the continuous problem of the wave equation and its migration.

Electromagnetic Waves: Wave Equation and Maxwell's Equations

Explores the wave equation for electromagnetic waves, Maxwell's predictions, and the importance of polarization in defining wave properties.

Wave Equations: Vibrating String

Explores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.

Fundamentals of Electromagnetic Waves and Their Properties

Provides an overview of electromagnetic wave properties, including speed, refraction, frequency spectrum, and polarization.

High Strain Rate Mechanics: Material Behavior Dynamics

Covers material behavior under rapid forces, wave propagation, dynamic stress-strain responses, and impact-induced damage.

High Order Methods: Space Discretisation

Covers high order methods for space discretisation in linear differential systems.

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Wave Propagation: General Solutions

Explores the general solutions for wave propagation and Fourier transforms in periodic functions.

Fluids and Electromagnetism

Explores Poiseuille flow, Navier-Stokes equation neglect, wave characteristics, and complex notation in fluid dynamics and wave phenomena.

Matter and Volume: Atoms and Density

Explains matter, atoms, volume, and density, including characteristics of materials and density calculation.

Wave Equation: Mechanical Systems

Explores the wave equation for mechanical systems, covering different wave velocities and solutions.

Simple Pendulum and Harmonic Oscillator

Explores the dynamics of a simple pendulum and harmonic oscillator, including Hooke's Law and equations of motion.

High Strain Rate Mechanics of Materials

Covers material behavior under rapidly applied forces, stress waves, dynamic responses, and impact-induced damage in various materials.

Linear Differential Equations

Covers the solution of linear differential equations, focusing on complex solutions and diagonalizable matrices.

Waves in Fluids: Basic Properties and Equations

Covers the fundamental properties and equations of waves in fluids, focusing on surface waves and their mathematical descriptions.

Waves in Fluids: Basic Properties and Equations

Covers the properties of waves in fluids, focusing on surface waves and their mathematical representation.

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Electromagnetic Waves: Properties and Polarization

Explores electromagnetic wave properties, polarization, and practical applications, emphasizing the relationship between electric field intensity and light intensity.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.