104 ريض

Topics Covered:

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.
6. Functions of several variables, partial differentiation, chain rule, implicit differentiation.
7. Ordinary differential equations, separable differential equations, first ordinary linear differential equations.