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Course10510556640 lectures

Mathematical Geophysics

Prof. Swarandeep Sahoo · IIT-ISM Dhanbad

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture -01 : Scalar And Vectors Video
  2. Lecture -02 : Co-ordinate Systems Video
  3. Lecture -03 : Solid Angle Video
  4. Lecture -04 : Theory Of Fields Video
  5. Lecture -05 : Geometric Model of Fields Video

Week 2

  1. Lecture - 06 : Scalar Field and Gradient Video
  2. Lecture -07 : Flux of a field Video
  3. Lecture -08 : Divergence and Gauss Theorem Video
  4. Lecture -09 : Curl and Stokes’ Theorem Video
  5. Lecture -10 : Green’s Function and Theorem Video

Week 3

  1. Lecture -11 : System of Equations Video
  2. Lecture -12 : Gravitational Field I Video
  3. Lecture -13 : Gravitational Field II Video
  4. Lecture -14 : Equations of Gravitational Field Video
  5. Lecture -15 : Upward Continuation Video

Week 4

  1. Lecture -16 : System of Linear Differential Equation Video
  2. Lecture -17 : Time Invariant and Varying Fields Video
  3. Lecture -18 : Electric Field Video
  4. Lecture -19 : Electric Potential Video
  5. Lecture -20 : Electric Current, Conductivity, and Ohm’s Law Video

Week 5

  1. Lecture -21 : Diffusion Video
  2. Lecture -22 : Geothermal gradient Video
  3. Lecture -23 : Magnetic Diffusion Video
  4. Lecture -24 : Solution of Magnetic Diffusion Equation Video
  5. Lecture -25 : Decay of Magnetic Field Video

Week 6

  1. Lecture - 26 : Wave Equation Video
  2. Lecture -28 : Free Oscillation of the Earth Video
  3. Lecture - 29 : Inertial wave Video
  4. Lecture - 30 : Internal Gravity Wave Video

Week 7

  1. Lecture -31 : Laplace’s and Poisson’s equations Video
  2. Lecture -32 : Heat flows in the Earth Video
  3. Lecture -33 : Convective Heat Flows in the Mantle Video
  4. Lecture -34 : Outer Core Thermal Convection Video
  5. Lecture -35 : Outer Core Double-Diffusive Convection Video

Week 8

  1. Lecture -36 : Fourier Analysis and Transform Video
  2. Lecture -37 : Linear Time-Invariant Systems and Filtering Video
  3. Lecture -38 : Sampling Theory for Time Series Video
  4. Lecture -39 : Transforms for Geophysical Analysis Video
  5. Lecture -40 : Data Driven Methods in Geophysics Video

Live Session

  1. Live Session 26-03-2025 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT-ISM Dhanbad
Department
Civil Engineering
Teacher
Prof. Swarandeep Sahoo
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Kharagpur.
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