Week | Topics | Study Materials | Materials |
1 |
Cartesian coordinates, rotations
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2 |
Vectors, unit vectors, matrices, vector operations.
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3 |
Position, velocity, acceleration in Cartesian, polar, cylindrical, and spherical coordinates
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4 |
Differentiation and integration of vectors, gradient, curl, Gauss and Stoke s theorems
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5 |
Newton s laws, frames of reference, equation of motion for a particle,
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6 |
Effects of retarding force, and other examples of dynamics
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7 |
Conservation theorems
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8 |
Simple harmonic oscillator, harmonic oscillation in two dimensions, phase diagrams
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9 |
Damped oscillations
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10 |
Sinusoidal driving forces, electric oscillations, Fourier series
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11 |
Newton law of gravitation, gravitational potential, lines of force and equipotential surfaces
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12 |
Ocean tides
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13 |
Concept of variational calculus, Euler s equation
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14 |
Euler equations with constraints, extension of Euler s equation to mechanics, Lagrange equations
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