MODULE 4 NOTES:
CONTENTS OF MODULE 4:
MOD 4-INFINITE SERIES and POWER SERIES SOLUTIONS
1. Series of positive terms- convergence and divergence. Cauchy’s root test and D’Alembert’s ratio test(without proof)- Illustrative examples.
2.Solutions-Series solution of Bessel’s differential equation leading to Jn(x)- Bessel’s function of first kindorthogonality.
3. Series solution of Legendre’s differential equation leading to Pn(x)-Legendre polynomials. Rodrigue’s formula (without proof), problems (RBT Levels:L1 and L2)
notes- 1 is handwritten
The above links are to M2 module -4 notes ,
1. Series of positive terms- convergence and divergence. Cauchy’s root test and D’Alembert’s ratio test(without proof)- Illustrative examples.
2.Solutions-Series solution of Bessel’s differential equation leading to Jn(x)- Bessel’s function of first kindorthogonality.
3. Series solution of Legendre’s differential equation leading to Pn(x)-Legendre polynomials. Rodrigue’s formula (without proof), problems (RBT Levels:L1 and L2)
M2- 18MAT21 handwritten notes below
NOTE: these are notes from different authors /publications/ source.
BEST handwritten notes (click below)*updated*
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other notes-
- download handwritten notes-1 here(click here)
notes- 1 is handwritten
The above links are to M2 module -4 notes ,
please read any notes that you find it easy to read and understand
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