Statements and proofs – Immediate applications to Summation and Approximation only.

Logarithmic series: Statement and Proof-Immediate application to Summation and Approximation only. Convergences and Devergency of series -Definitions, Elementary results-Comparison tests- De Alembert’s and Cauchy’s tests.

Series of Positive terms-Cauchy’s condensation test-Raabe’s test.

Roots of an equation- Relations connecting the roots and coefficients- Transformations of equations-Character and Position of roots- Descarte’s rule of signs- Symmetric function of roots-Reciprocal equations

Rolle’s Theorem - Position of real roots of f(x) = 0 – Newton’s method of approximation to a root – Horner’s method.