Unit I: Integral Calculus - Chapter 1: Reduction Formulae, Beta and Gamma Functions, Chapter 2: Differentiation Under the Integral Sign and Error Functions, Unit II: Curve Tracing and Solid Geometry -
Chapter 3: Curve Tracing and Rectification of Curves, Chapter 4: Co-ordinate System, Plane, Straight Line and Solids of Revolution, Chapter 5: Sphere, Cone and Cylinder, Unit III: Multiple Integrals and Applications - Chapter 6: Double and Triple Integrations, Chapter 7: Area and Volume, Chapter 8: Centre of Gravity and Moment of Inertia, Unit IV: First Order Ordinary Differential Equations - Chapter 9: First Order Ordinary Differential Equations, Unit V: Applications of Differential Equations - Chapter 10: Applications of First Order Differential Equations, List of Formulae, Appendix: Multiple Choice Questions, Model Question Paper: Theory Examination (ESE)