Vector Analysis

This course provides an in-depth understanding of vectors and their application in physics. The course is divided into five modules that cover the basics of vectors, differential and integral calculus, curvilinear coordinates, and test series. This Course has 2.5 hrs of content and mock tests. Module 1: Introduction to Vectors - This module covers the basics of vectors, including vector operations, vector algebra, and vector calculus. Module 2: Differential Calculus - This module focuses on the application of differential calculus in vector analysis. Topics covered include partial derivatives, gradient, divergence, and curl. Module 3: Integral Calculus - This module deals with integral calculus and its application in vector analysis. Topics covered include line integrals, surface integrals, and volume integrals. Module 4: Curvilinear Coordinates - This module covers curvilinear coordinates and their application in vector analysis. Topics covered include cylindrical and spherical coordinates. Module 5: Test Series - This module provides a comprehensive set of test series to evaluate the understanding and application of vector analysis. This course provides a solid foundation in vector analysis and its application in physics. By completion, students will understand vectors, differential and integral calculus, and curvilinear coordinates. The test series helps evaluate comprehension and prepares for further studies.