**Convergence proofs for root-finding algorithms**

Fixed point iteration is linearly convergent: Fixed Point

Bisection is linearly convergent: Bisection

Newton’s method is quadratically convergent: Newton

Secant method convergence: Secant

** The Lagrange Interpolating Polynomial **

Generalized Rolle’s Theorem: GeneralRolle

Lagrange Error Formula: LagrangeError

** The Trapezoidal Rule Error Formula **

Second Mean Value Theorem for Integrals: SecondMVThIntegrals

Error Formula for the Trapezoidal Rule:TrapError

**The CORDIC algorithm**

How do calculators calculate? paper1

How do calculators calculate trigonometric functions? paper

**The Implicit Function Theorem: **implicit