Mathematics I

Explore advanced mathematical concepts in this comprehensive 23-hour course covering calculus, vector analysis, and differential equations. Learn about Gauss Divergence Theorem, Stokes Theorem, surface and multiple integrals, and the method of Lagrange Multipliers. Delve into mean value theorems, derivatives, differentiation, and functions of several variables. Study line integrals, standard eigenvalue problems, special ODEs, and curve length calculations. Examine Riemann integrable functions, continuous function properties, power series, and convergence tests. Master curve sketching, infinite series, Taylor's theorem, and maxima-minima problems. Develop a strong foundation in higher-level mathematics through this in-depth course offered by NIOS.

Gauss Divergence Theorem.
Stokes Theorem.
Surface Integrals.
Multiple Integrals.
Method of Lagrange Multipliers.
Maxima - Minima.
Mean Value Theorems.
Derivatives.
Differentiation.
Functions of several variables.
Line Integrals.
Standard Eigen value problem and special ODEs.
Length of a curve.
Applications of Rieman integral.
Riemann Integrable Functions.
Properties of continuous function.
Riemann Integral.
Power series.
Tests of Convergence.
Curve sketching.
Infinite series II.
Infinite series I.
Taylor's theorem.
Maxima-Minima.
Mean Value Theorems.
Differentiable Function.