Maths-I (110008)  


Syllabus

Sr. Topics Teaching Hours Module Weightage
1
Limits, continuity, differentiability
Review of limits, continuity, differentiability
2
Theorems
Mean value theorem, Taylors Theorem, Maxima and Minima
3
Riemann integrals and Fundamental theorem of Calculus
Riemann integrals, Fundamental theorem of Calculus, Improper integrals, applications to area, volume
4
Series
Convergence of sequences and series, power series
5
Derivatives
Partial Derivatives, gradient and directional derivatives, chain rule, maxima and minima, Lagrange multipliers
6
Double and Triple integration, Jacobians and change of variables formula
Double and Triple integration, Jacobians and change of variables formula
7
Parametrization of curves and surfaces
Parametrization of curves and surfaces, vector Fields, line and surface integrals
8
Divergence and curl
Divergence and curl, Theorems of Green, Gauss, and Stokes