# Calculus for Engineers (BMAT101L)

# Credits : 3

# NOTE:

Preferred Channels

Books Needed:

MODULE 1

#### Application of Single Variable Calculus

Differentiation, Extrema on an Interval, Rolle’s Theorem and the Mean Value Theorem, Increasing and Decreasing functions and First derivative test, second derivative test, Maxima and Minima, Concavity. Integration, Average function value, Area between curves, volumes of solids of revolution

Refer to NOTES

MODULE 2

MODULE 3

MODULE 4

#### Multiple integrals

Evaluation of double integrals, change of order of integration, change of variables between Cartesian and polar coordinates, Evaluation of triple integrals, change of variables between Cartesian and cylindrical and spherical coordinates

Refer to NOTES

MODULE 5

MODULE 6

MODULE 7

MODULE 8