Some basics

• Seismology in historical perspective: its development and significance within Earth Sciences
• Harmonic oscillator
• Waves on a string
• Modes of coupled-oscillator systems
• Basics of solid mechanics: stress and strain
• …

Elastic wave equation

• Seismic equation of motion and constitutive equations
• Representation theorems in elastodynamics
• Lame’s theorem; P and S waves and their potentials
• P-SV and SH decomposition

High-frequency approximation

• Ray theory, tracing, Fermat’s principle
• Basics of ray tomography

Far-field approximation

• Planewaves, boundary conditions, and their reflection/transmission
• Seismic anisotropy
• Intrinsic attenuation

Surface waves

• Rayleigh & Love waves and their dispersion
• Group and phase velocities

Lamb’s problem

Imaging

• Scattering, Born approximation, and inverse scattering
• Basics of full waveform inversion
• Passive seismic imaging and concepts of interferometry

Normal modes of the Earth

• Eigenfrequencies
• Spheroidal and Toroidal modes of the Earth
• Mode splitting