Mathematical Geophysics Course | IIT(ISM) Dhanbad | Prof. Swarandeep Sahoo
Course Details
| Exam Registration | 19 |
|---|---|
| Course Status | Ongoing |
| Course Type | Core |
| Language | English |
| Duration | 8 weeks |
| Categories | Earth Sciences |
| Credit Points | 2 |
| Level | Undergraduate |
| Start Date | 16 Feb 2026 |
| End Date | 10 Apr 2026 |
| Enrollment Ends | 16 Feb 2026 |
| Exam Registration Ends | 27 Feb 2026 |
| Exam Date | 24 Apr 2026 IST |
| NCrF Level | 4.5 — 8.0 |
Unlocking the Secrets of Earth and Planets: A Guide to Mathematical Geophysics
Have you ever wondered how scientists map the Earth's interior, predict climate patterns, or understand the magnetic fields of distant planets? The answers lie at the fascinating intersection of mathematics and geophysics. We are excited to introduce a comprehensive 8-week undergraduate course, Mathematical Geophysics, designed to provide a rigorous foundation in the physical and mathematical principles that govern our planet and beyond.
Meet Your Instructor: Prof. Swarandeep Sahoo
This course is led by Prof. Swarandeep Sahoo, an accomplished Assistant Professor at the Department of Applied Geophysics, Indian Institute of Technology (ISM), Dhanbad. With a background in aerospace engineering and a deep expertise in planetary sciences, Prof. Sahoo brings a unique and broad perspective to the subject. His active research in Planetary Fluid Dynamics, Rotating Convection, and Planetary Magnetism ensures that the course content is not only foundational but also at the cutting edge of contemporary geophysical research. As a prolific researcher with over 30 international publications, his insights bridge the gap between theoretical concepts and real-world scientific discovery.
Who Should Take This Course?
This course is meticulously crafted for:
- Undergraduate and Postgraduate Students in Geophysics, Geology, Earth Sciences, Physics, and Environmental Science.
- Aspiring researchers and professionals aiming to strengthen their quantitative skills in earth system analysis.
- Learners with a solid foundation in 12th Standard-level mathematics who are eager to apply it to complex geophysical problems.
Course Overview and Learning Objectives
The primary objective of this course is to describe the physical and mathematical principles underlying a wide spectrum of geophysical phenomena—from atmospheric sciences and climate dynamics to the deep interiors of planets. The course moves beyond mere description, focusing on the core mathematical tools—linear algebra, vector calculus, potential theory, and differential equations—that are essential for modeling and understanding these systems. A key component is the introduction to novel methods for analyzing real geophysical data from observations and field measurements, providing invaluable experience in scientific data analysis.
Detailed 8-Week Course Layout
| Week | Core Topics Covered |
|---|---|
| Week 1 | Scalars & Vectors, Coordinate Systems, Solid Angle, Conservative Fields, Gradient |
| Week 2 | Field Geometry, Flux, Divergence, Gauss' & Stokes' Theorems, Green’s Function |
| Week 3 | Systems of Linear Equations, Gravitational Field, Upward/Downward Continuation |
| Week 4 | Linear Differential Equations, Electric Field & Potential, Conductivity, Ohm's Law |
| Week 5 | The Diffusion Equation, Geothermal Gradient, Magnetic Diffusion & Decay |
| Week 6 | The Wave Equation, Seismic Waves, Inertial & Internal Gravity Waves |
| Week 7 | Laplace’s & Poisson's Equations, Convective Heat Flows in the Earth |
| Week 8 | Geophysical Data Analysis, Time-Series Analysis, Principal Component Analysis |
Essential References and Textbooks
The course curriculum is supported by a robust list of references, blending classic textbooks with contemporary research:
- Boas, M.L. - Mathematical Methods in the Physical Sciences (Foundational Math)
- Arfken, G.B., Weber, H.J., & Harris, F.E. - Mathematical Methods for Physicists (Advanced Math)
- Gubbins, D. - Time Series Analysis and Inverse Theory for Geophysicists (Data Analysis)
- Kaufman, A.A. - Geophysical Field Theory and Method (Core Geophysics)
- Recent Research Papers by Prof. Sahoo and colleagues in Physics of Fluids on rotating convection and dynamos.
Industry Relevance and Career Prospects
The skills acquired in this course are highly sought after in various industries. The program is designed with support from and relevance to major organizations including:
- Oil & Gas: ONGC (for exploration geophysics)
- Geological Surveys: Geological Survey of India (GSI)
- Power & Energy: NTPC, Tata Power (for resource assessment)
- Renewable Energy: Companies in wind, ocean, and geothermal energy
- Climate & Environment: Organizations focused on climate change and atmospheric sciences
This course is more than just an academic module; it's a gateway to understanding the fundamental forces that shape our world and a stepping stone to a dynamic career at the forefront of Earth and planetary science. Join Prof. Swarandeep Sahoo on this journey to decode the mathematics of our planet.
Enroll Now →