### MA 1101 Calculus - [Compulsory for 2024 batch onwards]

#### Course Details

**Functions of two and three variables:**

Regions in plane, level curves and level surfaces, limit, continuity, partial derivatives, the increment theorem, directional derivatives and gradient, tangent planes and normal lines, Taylor's formula, extreme values, Lagrange multipliers, Volumes by slicing, Volumes of solids of revolution, cylindrical shell method, double integral and iterated integral, double integral in polar coordinates, triple integral, triple integral in cylindrical coordinates, triple integral in spherical coordinates, change of variables. [T]: Ch 14, Sect. 6.1-6.2, Ch. 15 (Exclude Sect. 15.6)

**Series Expansion of Functions:**

Series, Taylor series, Fourier series, odd and even functions, half range Fourier series, Functions of arbitrary period. [P]: Sect. 4.1-4.2, Sect. 4.16-4.17, Sect. 4.19-4.20, Sect. 5.1-5.6

#### Course References:

**Text:**

[T] J.R. Hass, C.E. Heil, M.D. Weir and P. Bogacki, Thomas' Calculus: Early Transcendentals, 15th Edition, Pearson Education, 2023.

[P] N. Piskunov, Differential and Integral Calculus Vol. II, Mir Publishers, Eng. Trans.1974.

**References:**

1. E. Kreyszig, Advanced Engineering Mathematics, 10th Ed., John Wille & Sons, 2010.

2. S.T. Tan, Calculus, Cengage Learning, 2010.

3. N. Piskunov, Differential and Integral Calculus Vol. 1 & II, Mir Publishers, Eng. Trans.1974.