### MA1101 Mathematics- I

#### Course Details

**Functions of two and three variables**

Region in plane, level curves and level surfaces, limit, continuity, partial derivatives, directional derivatives and gradients, normal to level curves and tangents, extreme values, Lagrange multipliers, double integral and iterated integral, volume of solids of revolution, approximation of volume, triple integral , change of variables, multiple integrals in spherical and cylindrical coordinates.

**Vector calculus**

Gradient, divergence, curl, line integrals, conservative fields, Green?s theorem, surface area of solids of revolution, surface area, surface integral, triple integral, Gauss divergence theorem, Stokes theorem.

#### Course References:

References:

G.B. Thomas Jr, M.D. Weir and J.R. Hass, Thomas Calculus, Pearson Education, 2009.

1. E. Kreyzig, Advanced Engineering Mathematics, 10th edition, John Wiley and Sons, 2010.
2. N. Pishkunov, Differential and Integral calculus Vol1-2, Mir publishers, 1974.
3. G.Strang, Calculus , Wellesley-Cambridge press, 2010.
4. J.E Marsden, A.J Thromba, A. Weinstein, Basic Multivariable calculus, springer verlag, 1993.