For My Reference :: List of Sub topics for different Areas

Mathematical Physics Areas / Topics 

1. A Course in Basic Set Theory
2. A Quick Review of Matrices
3. Vector Spaces
4. Representations of Finite Groups
   
5. Complex Variables
6. Ordinary Differential Equations
7. Partial Differential Equations
8. Fourier Series and Fourier Transform
9. Green Functions
10. Real Number System
11. Calculus
12. Vector Calculus
13. Orthogonal Polynomials
14. Bessel Functions
15. Spherical harmonics

1. Mathematical Physics    
   
2. Classical Mechanics     
   
3. Electromagnetic Theory 
   
4. Quantum Mechanics     
   
5. Statistical Mechanics    
   
6. Nuclear Physics          
   
7. Quantum Field Theory 
   
8. Lie Groups and Lie Algebras
   
9. Gravitation and Cosmology  
   
10. Elementary Particle Physics 
    
11. Quantum Computation       
    

1. Mechanics
2. Electricity and Magnetism
3. Wave and Oscillations
4. Thermodyanmics
5. Quantum Physics
6. Special Relativity