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Related lectures (29)
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Optimization: Extrema of Functions
Covers the optimization of functions, focusing on finding the maximum and minimum values.
Taylor Approximation: Matrix and Polynomials
Explores Taylor approximation of functions using polynomials and matrices for quadratic approximation.
Advanced Analysis II: Review of Double Integrals
Covers a review of double integrals, emphasizing compact domains and linearity.
Integral Calculus: Fundamentals
Covers the fundamentals of integral calculus, including properties of definite integrals and Riemann sums.
Advanced Analysis II: Isoclines Method
Explores the Isoclines Method and solutions of differential equations with tangents.
Advanced Analysis II: Lipschitz Condition and Series Convergence
Explores Lipschitz condition, Cauchy sequences, and series convergence in advanced analysis.
Fundamental Theorem of Calculus
Covers the fundamental theorem of calculus, immediate integration, and properties of derivatives, with examples of integration by substitution.
Optimization: Lagrange Multipliers
Covers the method of Lagrange multipliers to find extrema subject to constraints.
Implicit Functions Theorem
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.