Thursday, March 26, 2026

Statistical Thermodynamics Problems and Solutions

Assignment Help in Statistical Thermodynamics

Statistical Thermodynamics Problems and Solutions

This course is created tor the college students who need help with their assignments in statistical thermodynamics. In this course I have provided step by step solutions while explaining the rules of statistical thermodynamics. So in addition to the solutions of problems, you will review the rules of statistical thermodynamics and how you can apply the rules to problems.

In order to join to this course, you need to be familiar with differential equations and integrals and know the fundamentals of physics.

I will add more solutions to this course in the future, meanwhile students are welcomed to ask any question they may have about the published solutions or if they need help with any other problems in statistical thermodynamics, or to share their comments about this course that will help me to improve the course.

This course is made of the following sections:

Statistical Thermodynamic Quantities and Equations: problems and solutions about deriving equations between statistical thermodynamic quantities and applying them to the problems.
Thermodynamic Processes: problems and solutions where first law of thermodynamics, equations of state, work done by the gas, internal energy, and heat transfer are discussed.
Partition Functions and Ensembles: problems and solutions involving partition functions in different ensembles.
Lagrange Undetermined Multipliers: problems and solutions about maximize entropy using Lagrange undetermined multipliers.

Register to this course and enjoy solving problems in statistical thermodynamics while reviewing the subject itself through well-explained step by step solutions!

Wednesday, January 28, 2026

Lagrangian Mechanics

An Introductory Course in Lagrangian Mechanics

Lagrangian Mechanics

This is an introductory course in Lagrangian mechanics provided for college students and anyone who is familiar with Newtonian mechanics and calculus.

In this course you will learn how to apply Lagrangian mechanics to the classical systems and find their equations of motion and physical quantities. When applied to the classical systems, Lagrangian mechanics is equivalent to the Newtonian mechanics, but more easier than Newtonian mechanics, especially when you are dealing with more complicated systems.

This course is made of three sections:

Lagrangian Dynamics: this section begins with writing Lagrangian (or Lagrange function) of a system in a generalized coordinates in terms of independent coordinates, by finding constraint functions and number of degrees of freedom of the system. You will learn how to apply Euler-Lagrange equations (Lagrange's equations of the second kind) to the independent coordinates and find the equations of motion of the system. Some example of Lagrangian of classical systems are discussed in this section.
Generalized Forces: This section begins with definition of generalized conservative forces. Then by writing Lagrangian without imposing constraint functions and by applying Lagrange's equations of first kind, you learn how to find constraint forces of a system.
Conservation Laws: in this section you will learn how to find conserved generalized momentum (linear and angular momentum) if there is a cyclic coordinate in Lagrangian (i.e. Lagrangian is not implicit function of a coordinate); and how to find conserved energy of the system if Lagrangian is not a implicit function of time.