Coordinate Geometry and Vector Analysis
Course Code: MAT 219
Credit Hour: 3
Course Group: Mathematics
Coordinate Geometry: 2- Dimentional co-ordinate geometry: change of axes transformation of co-ordinates, simplification of equations of curves. 3-Dimentional co-ordinate geometry: system of co-ordinates, distance between two points, section formula, projection, direction cosines, equations of planes and lines.
Vector Analysis: Multiple product of vectors. Linear dependence and independence of vectors. Differentiation and integration of vectors together with elementary applications. Line, surface, and volume integrals. Gradient of a scalar function, divergence and curl of a vector function, various formulae. Integral forms of gradient, divergence and curl. Divergence theorem. Stoke’s theorem, Green’s theorem and Gauss’s theorem.
Reference Books:
- A Text Book of co-ordinate Geometry and Vector Analysis, by Rahman and Bhattacharjee
- Vector Analysis by Schaum’s Series
- Co-ordinate Geometry for Beginners by R C Fawdry.