Mathematical Methods in Physical Science

1. Low of mechanics -Differential equation-
   • Terminal velocity(S1.1)
   • Motion under the gravity(S1.2)
2. Potential energy -Partial differentiation-
   • Gradient(S2.1)
3. Motion of pendulum -Taylor expansion-
   • Pendulum(S3.1)
   • Taylor expansion(S3.2)
4. Various oscillation -Linear differential equation-
   • Damped oscillation(S4.1-4.2)
   • Forced oscillation(S4.3)
5. Coupled oscillation -Eigenvalue and eigen vector-
   • Coupled oscillation(S5.1-5.2)
6. Rotating frame and angular momentum -Outer product and multiple integration-
   • Corioli's force(S6.2)
   • Moment of inertia(S6.4)
7. Vector field and divergence, rotation -Vector analysis-
   • Vector fields(S7.1)
8. Fermat's principle -Euler equation-
   • Fermat's principle and variation principle(S8.1)