This course focus on the multidimensional analysis. It covers vectors, multivariable calculus and vector calculus. Starting with introduction to coordinate systems, the foundation topics with applications to three dimensional geometry from vectors (addition, subtraction and product) are included. It is followed with concepts such as arc length; curvature; normal plane; osculating plane; partial derivatives; chain rule; gradient; double and triple integrals and surface integrals. The core objective of this course is enhance the ability of students to understand the behavior of real world problems linking with geometry and rate of change. The concrete part of this course rely upon discussion and applications of Divergence Theorem, Green’s Theorem and Stokes Theorem.
- Teacher: Dr. Javed Hussain