Vector Analysis

 Vector Analysis

Syllabus

Core Course

Triple product, Introduction to Vector functions, operations with vector-valued functions, limits and continuity of functions, differentiation and integration of vector functions, tangent and normal components of acceleration.

(2 Questions)

GE1

Vector differentiation, curl, divergence and gradient. (1 Question)

OFFICIAL SYLLABUS

 VECTOR CALCULUS

Product of three and four vectors, work done, moment of a vector about a point and a line. Scalar and vector point functions, differentiation of a vector function of scalar variables. Gradient, Divergence and Curl, second order operators in Cartesian coordinate system. 4 Questions

Books Recommended:

 1. Calculus – G B Thomas & R L Finney. 

2. Differential Calculus – Das & Mukherjee. 

3. Vector Calculus – Dasgupta.

 4. Vector Calculus – Shanti Narayan

Chapter

1. Product of three or four vector

2. Vector - Value function and     differentiation  of vector

3. Vector integration

4. Gradient divergence and curl and expansion formulae involving them