Statements and proofs – Immediate applications to summation and approximation only.

Logarithmic series: statement and proof-immediate application to summation and approximation only. Convergences and divergence 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