Multivariable Integral Calculus

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Related lectures (24)

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Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Linear Independence and Bases in Vector Spaces

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Linear Independence and Bases

Covers linear independence, bases, and coordinate systems with examples and theorems.

Integral Calculus: Darboux Sums

Covers Darboux sums, properties, and the fundamental theorem of calculus.

Introduction and Historical Perspective, Vectors and Kinematics

Explores historical perspective, vectors, kinematics, and mathematical modeling of physical systems.

Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Integral Calculus of Functions in Several Variables

Covers the integration of functions in several variables, Darboux sums, and Fubini's theorem on a closed box.

Linear Algebra: Linear Dependence and Independence

Explores linear dependence and independence of vectors in geometric spaces.