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Lecture
Taylor Approximation: Understanding the Basics
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Digital Derivation: Evaluation and Formulas
Explores digital derivation, function evaluation, and polynomial approximations for accurate measurements and evaluations.
Taylor Polynomials: Approximating Functions
Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.
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Explores limits, continuity, and function compositions in mathematics.
Advanced Analysis I: Taylor with Integral Remainder
Covers Taylor series with integral remainder for open intervals and their applications in mathematical analysis.
Taylor's Formula: Developments and Applications
Explores Taylor's formula, polynomials, functions, and series applications.
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Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
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Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.
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Explores the implicit function theorem and Taylor polynomials in differential equations.
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Covers the properties of complex numbers, including finding roots and factorizing polynomials.
Taylor Polynomials: Calculating Limits and Derivatives
Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.