PC1134 Lectures

PC1134
Mathematical Methods in Physics I
Semester II, 2001/2002

NO	TOPIC	TIME	DATE
1	Introduction and review on differentiation
2	Function of more than one variables
3	Partial differentiation
4	Total differential
5	Rule & Techniques
6	Higher derivatives & Taylor Series
7	Application to error analysis
8	Error propagation
9	Application to minimization and maximization
10	Error in least square fitting
11	Minimization and maximization with constraints
12	Review on vectors
13	Triple vector products
14	Differentiation of vectors
15	Force, Field, Potential & Gradient
16	Divergence, curl & Laplacian
17	Line integrals
18	Conservative field and potential
19	Double and triple integrals in Cartesian coordinates
20	Double and triple integrals in other coordinates
21	Surface integrals
22	Green's theorem in the plane
23	Divergence theorem and applications
24	Stokes' theorem and applications
25	Vector space \& basis
26	Linear operators \& matrix representation
27	Matrix operations
28	Special matrices
29	Inverse of a matrix
30	System of linear equations
31	Calculating determinant
32	Eigenvalue problem
33	Coordinate transformation