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Related lectures (35)
Fourier Series: Approximation and Convergence
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Introduces Fourier series, explaining their approximation properties and convergence, along with the Dirichlet theorem and coefficient computation.
Real Functions: Definitions and Properties
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Explores real functions, covering parity, periodicity, and polynomial functions.
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Calculus: Derivatives and Integrals
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Covers the fundamentals of calculus, focusing on derivatives and integrals.
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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.
Differentiability and Limits
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Explores differentiability, limits, and open sets in multivariable functions, with a focus on local minimums and continuity.
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.
Lebesgue Measure and Fourier Analysis
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Explores Lebesgue measure, Fourier analysis, PDE applications, and optimal transport in PDEs.
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Function Limits: Definitions and Theorems
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Explores function limits, including right and left limits, algebraic operations, and the theorem of the two gendarmes.
Parametrized Curves in 2D: Examples and Properties
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Explores parametrized curves in 2D, including segments, straight lines, and circles with trigonometric functions.
Laplace Equation: Decomposition and Solutions
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Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.
Plates III: Mechanics of Slender Structure
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Covers Föppl-von Kármán equations, Airy potential, plate theory simplifications, and buckling of plates.
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