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Related lectures (31)
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Derivative of an Integral with Parameter
Covers deriving integrals with parameters and their derivatives, including special cases and proofs.
Integration by Parts: Taylor Series Development
Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.
Advanced Analysis II: Derivatives and Functions
Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Inequality Resolution: x + 4 / 2x + 1
Focuses on solving an inequality using a sign table method.
Nonlinear Systems: Equations and Solutions
Explores solving nonlinear systems of equations using Newton's method.
Implicit Functions Theorem
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Implicit Functions and Taylor Polynomials
Covers implicit functions, Taylor polynomials, and tangent equations.
Analytical Trajectories: Key Ingredients
Explores analytical trajectories, emphasizing critical points, inequalities, and analyticity.
Discriminant Analysis: Bayes Rule
Covers the Bayes discriminant rule for allocating individuals to populations based on measurements and prior probabilities.
Lipschitz Gradient Theorem
Covers the Lipschitz gradient theorem and its applications in function optimization.