Lectures related to Volume | EPFL Graph Search

Covers Cramer's Rule, matrix inverse, determinants, and volume in linear algebra.

Calculating Volumes of Solids: Integration Techniques

Covers the calculation of volumes of solids using integration techniques and examples of solids of revolution.

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

Divergence Theorem: Flux Analysis in Closed Volumes

Explores the analysis of flux through closed volumes, emphasizing the cancellation of internal fluxes and the simplification of calculations.

Fubini Theorem for Closed Sets

Explains the Fubini theorem for closed sets and volume calculations.

Oxygen Consumption: Validation Calculations

Covers the validation calculations for oxygen consumption in Excel.

Determinants: Properties and Geometric Interpretation

Explores properties of determinants, invertibility criteria, and geometric interpretations for matrices.

Coordinate Systems: Transformations and Applications

Covers the transformation and application of coordinate systems, focusing on cylindrical coordinates and Jacobian matrix.

Volume Calculation: Two Cylinders Interaction

Explains the volume calculation by intersecting two cylinders using coordinates and integrals.

Advanced analysis II: variable change and integrals

Explores variable change in integrals, emphasizing domain understanding and practical applications in volume and area calculations.

Advanced Analysis II: Spherical Coordinates

Covers spherical coordinates transformation, bijectivity, and applications in volume calculations.

Kinetic Theory: Distribution Function Evolution

Explores the evolution of the distribution function describing particles in phase space.

Advanced Analysis II: Spherical Coordinates

Covers spherical coordinates, transformations, and volume calculations in integrals.

Multiple Integration: Fubini Theorem

Explores multiple integration in R², focusing on double integrals over closed rectangles and the Fubini theorem.

Change of Variables Formula

Explores the change of variables formula for integration using different coordinate systems to simplify calculations.

Divergence Theory and Surface Integrals

Explores divergence theory, surface integrals, and volume computation using spherical coordinates and parametrizations.

States of Matter: Compressibility and Thermal Expansion

Explores compressibility and thermal expansion in states of matter.

Compressibility and Thermal Expansion: States of Matter

Explains how volume and dimensions of bodies change with pressure and temperature.

Multiple Integrals: Techniques and Properties

Explores multiple integrals, techniques, properties, and center of gravity calculation in various domains.

Specific Volume and Thermal Expansion

Explains specific volume and thermal expansion calculations with temperature changes.