Credit Structure: 2 0 2 6
Review of the prerequisites such as limits of sequences and functions, continuity, uniform continuity and differentiability. Rolle's theorem, mean value theorems and Taylor's theorem. Newton's method for approximate solution. Riemann integral and the fundamental theorem of integral calculus. Approximate integration. Applications to length, area, volume, surface area of revolution. Moments, centres of mass and gravity.
Texts / References
T.M. Apostol, Calculus, Vol. I, 2nd ed., Wiley Eastern, 1980.
G.B. Thomas and R.L. Finney, Calculus and Analytic Geometry, 9th ed., ISE reprint, Addison-Wesley, 1998.