Unlike Module 1 (Calculus & Statistics), M2 focuses heavily on and analytical techniques rather than data analysis.
| Topic | Key Concepts | |-------|--------------| | | Formal definition (intuitive), sandwich theorem, continuity of functions | | Differentiation | First principles, product/quotient/chain rules, implicit differentiation, logarithmic differentiation | | Applications of Derivatives | Curve sketching, tangent/normal lines, optimization, rate of change, L’Hôpital’s rule | | Indefinite & Definite Integration | Standard integrals, substitution, integration by parts, trigonometric integrals | | Applications of Integration | Area between curves, volume of solids of revolution (disk/washer/shell methods) | | Advanced Calculus Topics | Improper integrals, numerical methods (trapezoidal rule – basic) | mathematics extended part module 2