Lectures related to Analyse 2: Rules of Calculation: Addition

Calculus 2: Composition Rule in Calculations

Explains the composition rule in calculus for obtaining Taylor polynomials of composite functions.

Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

Implicit Functions and Taylor Polynomials

Covers implicit functions, Taylor polynomials, and tangent equations.

Taylor Series: Approximating Functions with Polynomials

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Lagrange Interpolation

Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.

Advanced Analysis I: Taylor with Integral Remainder

Covers Taylor series with integral remainder for open intervals and their applications in mathematical analysis.

Taylor Polynomials: Order 1

Covers the development of Taylor polynomials of order 1 and introduces related terminology and concepts.

Taylor Polynomials: Correction Term

Explores the correction term in Taylor polynomials, showcasing its role in refining function approximations.