Syllabus | B.Sc (Non- Medical) | Title-Number Theory and Trigonometry (paper-1) (Code-09010201)

Title-Number Theory and Trigonometry (paper-1)

(Code-09010201)

S.N

Unit

Content

Domain

Hours as per UGC

1

one

  1. Divisibility, G.C.D., L.C.M.
  2. Primes and Fundamental theorem of Arithmetic,
  3. Linear congruence,
  4. Fermat’s Theorem,
  5. Wilson’s theorem and its converse,
  6. Linear Diophanatine equation in two variables

Must Know

15

2

Two

  1. Complete residue system
  2. Reduced residue system modulo m,
  3. Quadratic residue, Euler’s ø function
  4. Generalization of Fermat’s Theorem,
  5. Chinese remainder Theorem Legendre symbols,
  6. Lemma of Gauss; Gauss reciprocity law.
  7. Greatest integer function

Must know

15

3

Three

  1. De Moivre’s Theorem and its applications
  2. Expansion of Trigonometrical functions,
  3. Direct circular and hyperbolic functions and their properties,
  4. Inverse circular and hyperbolic functions and their properties,
  5. Logarithm of a complex quantity
  6. 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.
Admission Open- 2018