Taylor Series: Basics and Applications

Related lectures (28)

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Demonstrates the practical application of theorems in calculus through two clever examples.

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Provides solutions to an Analysis I exam, covering various topics.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Introduces mathematical notations and functions essential for general physics.

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.