Calculating with Taylor, Convexity

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Presents the solution to finding the second-order Taylor polynomial of a function.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

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

Covers the concept of limits and continuity in real analysis.

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

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Covers linear approximations up to order 2 and the Hessian matrix.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.

Covers the concept of distance to the origin and functions in constrained domains.