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Lecture
Taylor's Formula in Two Variables
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Functions n+1 Derivatives
Covers the concept of functions being n+1 times differentiable and the Taylor formula.
Taylor Polynomial in Two Variables
Covers the Taylor polynomial in two variables and the concept of extrema in functions of several variables.
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Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.
Advanced Analysis I: Taylor Formula and Limit Development
Covers the Taylor formula and limit development for functions with multiple derivatives.
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Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
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Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
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Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.
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Covers Fourier series, periodic functions, and Fourier transforms.
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Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.
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Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.