Integrals of Paths

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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.

Convergence of Sequences

Covers the convergence of sequences and how to calculate limits for convergent sequences.

Rational Powers: Definition and Properties

Covers the concept of rational powers and their properties.

Limits: Understanding the Concept

Covers the concept of limits and how to determine their existence.

Mathematics of Data: Optimization Basics

Covers optimization basics, including metrics, norms, convexity, gradients, and logistic regression, with a focus on strong convexity and convergence rates.

Complex Integration and Cauchy's Theorem

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Integration by Parts: Taylor Series Development

Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.

Principal Component Analysis: Properties and Applications

Explores Principal Component Analysis theory, properties, applications, and hypothesis testing in multivariate statistics.

Linear Algebra: Applications and Definitions

Explores linear algebra concepts, mappings between sets, unique element matches, and reciprocal functions.

Derivative of an Integral

Covers the derivative of an integral dependent on a parameter and its fundamental properties.