Classical Dynamics (PHY112) — Lecture Notes

Lecture Notes

Lecture Notes can be found in this link PDF

Class Scribbles

1. Lectures: L01-L04

Week1: Review of Newton's laws, vectors, system of particles, conserved quantities

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2. Lectures: L05-L07

Week2: Conservative forces, potentials, polar coordinates, central force (introduction)

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3. Lectures: L08-L10

Week3: Central force (Orbit eq., apsidal angles, bound/closed orbits, Runge-Lenz vector)

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4. Lectures: L11-L13

Week4: Central force (stability, scattering), oscillation

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5. Lectures: L14-L16

Week5: Oscillation, phase space, critical points, linearization

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6. Lectures: L17-L20

Week6: Examples, population dynamics, limit cycles

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Codes

Example Plots

Perihelion (by Prof. Tapobrata Sarkar) Predator–prey Political opinion Hopf bifurcation

Tutorials

1. Problem Set 1 Tutorial: 09.01.2026

Vectors, matrices and scaling properties

Problems Solutions

2. Problem Set 2 Tutorial: 13.01.2026

Non-inertial frames, system of particles

Problems Solutions

3. Problem Set 3 Tutorial: 20.01.2026

Forces, potentials, polar coordinates

Problems Solutions

4. Problem Set 4 Tutorial: 27.01.2026

Central force (Orbit eq., apsidal angles, Runge-Lenz vector)

Problems Solutions

5. Problem Set 5 Tutorial: 03.02.2026

Central force (stability, scattering)

Problems Solutions

6. Problem Set 6 Tutorial: 10.02.2026

Phase Space and Oscillations

Problems Solutions

7. Problem Set 7 Tutorial: 17.02.2026

Population Dynamics, Limit Cycles

Problems Solutions

Examinations

1. Quiz 1 03.02.2026

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2. Midsem 24.02.2026

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Resources from 2025 (Co-instructor: Prof. Amit Agarwal)

1. Class Scribbles

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2. Assignments

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3. Examinations

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