Lecture
Taylor Approximation: Understanding the Basics
Related lectures (48)
Rolle's Theorem and Mean Value Theorem
Covers Rolle's Theorem and the Mean Value Theorem, discussing stationary points and extrema.
Linear Algebra: Matrix Operations
Covers matrix operations and properties, including eigenvalues and eigenvectors.
Developing Cosine CompositionMOOC: Analyse I
Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.
Limits & Continuity: Analysis 1
Explores limits, continuity, and function compositions in mathematics.
Derivatives and Continuity
Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
Taylor Approximation: Matrix and Polynomials
Explores Taylor approximation of functions using polynomials and matrices for quadratic approximation.
Integration Techniques: Series and Functions
Covers integration techniques for series and functions, including power series and piecewise functions.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Integration of Rational Functions
Covers the integration of rational functions, focusing on decomposing functions into simpler elements.
Generalized Integrals: Convergence and Divergence
Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.