MATHS HL – Option-Calculus

Option-Calculus

1. Option-Calculus

(a) Infinite Sequence and Series

• Test for Convergence

• Convergence of Different Type of Series

• Radius of Convergence and Interval of Convergence

(b) Continuity and Differentiability of Functions

(c) Integrals

• Riemann Sums and Fundamental Theorem of Calculus

• Improper Integrals

(d) Differential Equations

• Method of Variable Separable

• Method of Substitution

• Euler’s Method

• Method of Integrating Factor

(e) Rolle’s Theorem and Mean Value Theorem

(f) Taylor Series and Maclaurin Series

(g) Limits with L’Hôpital’s Rule and Taylor Series

(g) Harder problems involving Calculus