The Theoretical Minimum - Solutions to Exercises
Classical Mechanics
Quantum Mechanics
Interlude 1: Spaces, Trigonometry, Vectors
Exercise 1
Classical Mechanics
Lecture 1: The Nature of Classical Physics
Exercise 1
Exercise 2
Exercise 3
Interlude 1: Spaces, Trigonometry, Vectors
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Lecture 2: Motion
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8a
Exercise 8b
Exercise 8c
Exercise 8d
Interlude 2: Integral Calculus
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Lecture 3: Dynamics
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Interlude 3: Partial Differentiation
Exercise 1
Exercise 2
Lecture 5: Energy
Exercise 1
Exercise 2
Exercise 3
Lecture 6: The Principle of Least Action
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Lecture 7: Symmetries and Conservation Laws
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Lecture 8: Hamiltonian Mechanics and Time-Translation Invariance
Exercise 1
Exercise 2
Lecture 10: Poisson Brackets, Angular Momentum and Symmetries
The Properties of Poisson Brackets
Exercise 1
Exercise 2
Exercise 3
Lecture 11: Electric and Magnetic Forces
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Appendix A: Central Forces and Planetary Orbits
Exercise 1
Interlude 1: Spaces, Trigonometry, Vectors
Exercise 1
Exercise 1
GeoGebra
The graphs of the functions were plotted using
GeoGebra
Graph of
\(f(t)=t^4+3 t^3-12t^2+t-6\)
Graph of
\(g(x) = \sin x - \cos x\)
Graph of
\(\Theta(\alpha)=e^\alpha +\alpha \ln \alpha\)
Graph of
\(x(t)=\sin^2 t - \cos t\)
