NOC:Mathematical Geophysics

Lecture 1 - Scalar and Vectors

Lecture 2 - Co-ordinate Systems

Lecture 3 - Solid Angle

Lecture 4 - Theory Of Fields

Lecture 5 - Geometric Model of Fields

Lecture 6 - Scalar Field and Gradient

Lecture 7 - Flux of a field

Lecture 8 - Divergence and Gauss Theorem

Lecture 9 - Curl and Stokes’ Theorem

Lecture 10 - Green’s Function and Theorem

Lecture 11 - System of Equations

Lecture 12 - Gravitational Field - I

Lecture 13 - Gravitational Field - II

Lecture 14 - Equations of Gravitational Field

Lecture 15 - Upward Continuation

Lecture 16 - System of Linear Differential Equation

Lecture 17 - Time Invariant and Varying Fields

Lecture 18 - Electric Field

Lecture 19 - Electric Potential

Lecture 20 - Electric Current, Conductivity, and Ohm’s Law

Lecture 21 - Diffusion

Lecture 22 - Geothermal gradient

Lecture 23 - Magnetic Diffusion

Lecture 24 - Solution of Magnetic Diffusion Equation

Lecture 25 - Decay of Magnetic Field

Lecture 26 - Wave Equation

Lecture 27 - Seismic waves

Lecture 28 - Free Oscillation of the Earth

Lecture 29 - Inertial wave

Lecture 30 - Internal Gravity Wave

Lecture 31 - Laplace’s and Poisson’s equations

Lecture 32 - Heat flows in the Earth

Lecture 33 - Convective Heat Flows in the Mantle

Lecture 34 - Outer Core Thermal Convection

Lecture 35 - Outer Core Double-Diffusive Convection

Lecture 36 - Fourier Analysis and Transform

Lecture 37 - Linear Time-Invariant Systems and Filtering

Lecture 38 - Sampling Theory for Time Series

Lecture 39 - Transforms for Geophysical Analysis

Lecture 40 - Data Driven Methods in Geophysics