Mathematics Semester 3 note's || B.Sc Under graduation

Semester 3 Note'^s

1. Partial Differential Equation

Content

Differential equations. Their formation and solutions

Equations of first order and first degree

Trajectories . etc...

Picard’s iterative method. Uniquenessand existence theorems

Simultaneous equations of the form (dx)/P = (dy)Q = (dz)/R

Total (or Pfaffian) differential equations

Riccati’s equation etc...

Origin of partial differential equations

Linear partial differential equations of order one

Non-linear partial differential equations of order one

Homogeneous linear partial differential equations with constant coefficients. etc..

Statics 37 Mb

2. Group Theory

Content

1. Real Number System
The L.U.B (supremum) and (Infimum)

Open Sets ,Closed Set And Compact Set

Sequences and their Limits

Convergency And Divergency Of series

D,Alembert's Ratio Test

Further tests of convergence

General test

Absolute convergence

Multiplication of series

Statics 7 Mb

3. Theory Of Real Function

Content

1. Real Number System
The L.U.B (supremum) and (Infimum)

Open Sets ,Closed Set And Compact Set

Sequences and their Limits

Convergency And Divergency Of series

D,Alembert's Ratio Test

Further tests of convergence

General test

Absolute convergence

Multiplication of series

Statics 7 Mb

4.Analysis

Content

1. Real Number System
The L.U.B (supremum) and (Infimum)

Open Sets ,Closed Set And Compact Set

Sequences and their Limits

Convergency And Divergency Of series

D,Alembert's Ratio Test

Further tests of convergence

General test

Absolute convergence

Multiplication of series

Statics 7 Mb