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Lecture
Taylor expansions: second order
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Related lectures (58)
Taylor Polynomials: Calculating Limits and Derivatives
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Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.
Functions Extension and Taylor Expansion
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Covers functions extension and Taylor expansion, exploring mathematical concepts in depth.
Shells I: Mechanics of Slender Structures
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Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Introduction to Definite Integrals
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Introduces definite integrals, Taylor expansions, partitions, and area calculations under curves.
Partial Derivatives and Gradient
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Covers the definitions and properties of partial derivatives and gradients in mathematical contexts.
Compact Manifolds Classification
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Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.
Taylor Expansion and Convex Functions
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Explores Taylor expansion, convex functions, and Lipschitz continuity with illustrative examples.
Taylor Development: Higher Derivatives
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Covers the calculation of Taylor polynomials, higher derivatives, and Taylor series using examples.
Taylor Series: Convergence and Applications
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Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.
Differentiable Functions and Lagrange Multipliers
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Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Approximation by Smooth Functions
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Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.
Laplace Equation: Decomposition and Solutions
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Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.
Advanced Analysis II: Multi-Index and Taylor Formula
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Explores multi-index, Taylor formula, partial derivatives, and remainders estimation in Taylor series.
Complex Analysis: Laurent Series and Residue Theorem
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Discusses Laurent series and the residue theorem in complex analysis, focusing on singularities and their applications in evaluating complex integrals.
Taylor Series: Basics and Applications
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Introduces Taylor series, covering their basics and applications in approximating functions and calculating limits.
Calculus of Variations: Some Topics
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Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.
Power series and Taylor series
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Covers the properties of improper integrals, power series, and Taylor series.
Partial Differential Equations: Characteristics and Solutions
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Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.
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