يأتي وصفه قريبا

يأتي وصفه قريبا

يأتي وصفه قريبا

يأتي وصفه قريبا

يأتي وصفه قريبا

Math5701 - Geometry and Topology :
Connected spaces, Path connected spaces, Connected components, Locally connected spaces. Quotient spaces. The separation axioms (Hausdorff, Regular, Normal).
Differentiable manifolds, Submanifolds of R^n and classical Lie groups. Tangent spaces. Differential mappings between manifolds, Inverse and implicit function theorems on manifolds.
 

1. Conic sections, parabola, ellipse and hyperbola, second degree equation.
2. Matrices, linear equations, solution of linear equations, Gauss elimination method, determinants, Crammer's rule.
3. Integrations, methods of integration (by substitution, by parts, integrations involving quadratic expressions, integration by partial fractions).
4. Applications of integration: area, volume of revolution, washer method and cylindrical shells.
5. Polar coordinates, areas of polar regions.