#### Classical Mechanics

*Parsa Rangriz, Physics Undergraduate Student, Sharif University of Technology*

I will try to develop a mathematically precise approach to classical mechanics. Specifically Lagrangian and Hamiltonian mechanics will be discussed in a more precise manner.

##### Session 1: October 1, 2020

###### Euclidean and Metric Spaces

##### Session 2: October 8, 2020

###### Metric Spaces and Function Spaces

##### Session 3: October 15, 2020

###### Function Spaces

##### Session 4: October 22, 2020

###### Calculus of Variations

##### Session 5: October 29, 2020

###### Calculus of Variations & D’Alembert’s Principle

##### Session 6: November 5, 2020

###### Hamilton’s principle and Lagrangian Mechanics

##### Session 7: November 12, 2020

###### Lagrangian Mechanics and The Hamiltonian Function

##### Session 8: November 26, 2020

###### The Legendre Transformation, Examples of Canonical Systems

##### Session 9: December 5, 2020

###### Symmetries and Conservation Laws, Rotation Group