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Lecture
Calculus 2: Composition Rule in Calculations
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Taylor Polynomials: Approximation and Generalization
Introduces Taylor polynomials for function approximation, starting with linear and quadratic forms and then generalizing to higher orders.
Taylor Polynomials: Special Cases
Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.
Partial Derivatives and Functions
Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.
Taylor Polynomials and Function Properties
Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.
Derivability and Chain Rule
Covers the demonstration of the chain rule and the theorem of Rolle.
Taylor Polynomial in Two Variables
Covers the Taylor polynomial in two variables and the concept of extrema in functions of several variables.