Course Syllabus
This syllabus outlines the modules of Calculus & Geometry.
- Successive differentiation, Taylor's theorem, asymptotes, curvature, and curve tracing.
- Reduction formulae, rectification, quadrature, volumes and surfaces of revolution, and multiple integrals.
- Transformation of coordinates, general equation of second degree, conics, tangents, and normals.
- Direction cosines, planes, straight lines, spheres, cones, cylinders, and central conicoids.
- Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, and Stokes' theorem.