Concept
Volume
Related lectures (96)
Kinetic Theory: Distribution Function Evolution
Explores the evolution of the distribution function describing particles in phase space.
Determinants: Properties and Geometric Interpretation
Explores properties of determinants, invertibility criteria, and geometric interpretations for matrices.
Change of Variables Formula
Explores the change of variables formula for integration using different coordinate systems to simplify calculations.
Turbulence: Numerical Flow Simulation
Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.
Volume Calculation in R^3
Covers the calculation of volumes of subsets in R^3 using double integrals.
Deformable Bodies: Stress Tensors and Divergence Theorem
Explores stress tensors and the divergence theorem in deformable bodies through examples and demonstrations.
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.
Multiple Integrals: Extension and Properties
Explores the extension and properties of multiple integrals for continuous functions on rectangles.
The Finite Volume Method
Explores the finite volume method for numerical flow simulation, emphasizing steady diffusion in heat conduction and linear algebraic equations.
Integrals in Higher Dimensions
Explores integrals in higher dimensions, emphasizing the versatility of integration methods and the significance of changing the order of integration.