 Differentiation: Definition and basic properties, higher order derivatives, Leibnitz's theorem on successive differentiation.
 Mean Value Theorems: Rolle's theorem, Lagrange's and Cauchy's mean value theorems, Taylor's theorem, computation of Taylor's series.
 Maxima and minima: Maxima and minima of a function of one variable, saddle points, applications.
 Integration: Riemann integral viewed as an area, partitions, upper and lower integrals, Riemann integrability of a function, basic properties of Riemann integrals, mean value theorems for Riemann integrals, fundamental theorem of calculus, change of variable formula and integration by parts, improper Riemann integral. Beta and Gamma functions.
 Sequence of functions Uniform convergence, convergence and continuity. Weierstrass approximation theorem.
