UNIT 1:
Introduction to Groups , Definition , Properties
Introduction to Groups , Definition , Properties
Rings: Definition - Sub rings
UNIT 2:
Problems based on Rings and Polynomial Rings
Irreducible polynomials over finite fields
Problems based on irreducible polynomials
Problems based on irreducible polynomials
Factorization of polynomials over finite fields
Problems based on factorization of polynomials
Problems based on factorization of polynomials
UNIT 3:
Problems on Base - b and number patterns
Prime and composite numbers , GCD
Problems on Prime and composite numbers
Fundamental theorem of arithmetic – LCM
Problems based on Fundamental theorem
UNIT 4:
Linear Diophantine equations
Divisibility Applications tests
Problems on divisibility application test
Problems on modular exponentiation
Chinese remainder theorem
Linear Diophantine equations
UNIT 5:
Problems on Wilson Theorem
Problems on Fermat’s Theorem
Problems On Eulers Theorem
Problems on Eulers Phi Function
