Module-3

 

1. Calculus -

   1. Limits,

   2. Continuity,

   3. Differentiability,

   4. Derivatives,

   5. Intermediate Value Theorem,

   6. Rolle’s Theorem,

   7. Mean value Theorem,

   8. Taylor and Maclaurin’s series,

   9. L’Hospital’s rule.

   10. Partial differentiation,

   11. homogeneous functions,

   12. Euler’s Formula.

   13. Applications of differentiation -

       1. maxima and minima,

       2. critical points,

       3. concavity,

       4. points of inflection,

       5. asymptotes,

       6. Tangents and normals.

2. Integration –

   1. methods of integration,

   2. definite integrals –

   3. properties.

3. Fundamental theorem of calculus.

4. Applications of Integration –

   1. Area between curves,

   2. volume and

   3. area of revolution.

5. Double and

6. Triple Integrals

7. Conic sections-

   1. Standard equations –

      1. Parabola,

      2. ellipse,

      3. hyperbola,

      4. Cartesian,

      5. Parametric and polar forms.