1800 102 5661

### (Code-09010201)

 S.N Unit Content Domain Hours as per UGC 1 one Divisibility, G.C.D., L.C.M. Primes and Fundamental theorem of Arithmetic, Linear congruence, Fermat’s Theorem, Wilson’s theorem and its converse, Linear Diophanatine equation in two variables Must Know 15 2 Two Complete residue system Reduced residue system modulo m, Quadratic residue, Euler’s ø function Generalization of Fermat’s Theorem, Chinese remainder Theorem Legendre symbols, Lemma of Gauss; Gauss reciprocity law. Greatest integer function Must know 15 3 Three De Moivre’s Theorem and its applications Expansion of Trigonometrical functions, Direct circular and hyperbolic functions and their properties, Inverse circular and hyperbolic functions and their properties, Logarithm of a complex quantity Gregory series, Summation of Trigonometric series. Must know Nice to know 15

Books Recommended:

1. S.L. Loney : Plane Trigonometry Part –II, Macmillan and company, London.
2. R.S. Verma and K.S. Sukla : Text Book on Trigonometry, Pothishala Pvt. Ltd. Allahabad
3. Ivan Ninen and H.S. Zuckerman. An Introduction to the Theory of Numbers.