Lectures related to Trapezoid | EPFL Graph Search

Numerical Integration: Basics

Covers digital integration, interpolation polynomials, and integration formulas with error analysis.

Rectangle and Trapezoid Formulas

Covers numerical integration using rectangle and trapezoid formulas, with decreasing error as step size decreases.

Digital Integration: Composite Formulas

Covers digital integration methods, including composite formulas and convergence order.

Properties of Definite Integrals: Fundamental Theorem of Analysis

Covers the properties of definite integrals and the fundamental theorem of analysis.

Euclidean Norm: Properties and Special Cases

Explores the Euclidean norm properties, special cases, and applications of the Cauchy-Schwarz inequality.

Analytical Geometry: Cross Product and Orientation

Explains the cross product in analytical geometry and vector orientation.

Runge-Kutta Methods: Stability and Implicit Schemes

Explores digital integration methods, stability, and implicit schemes in Runge-Kutta methods.

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Center of Gravity: Barycenter

Explores the center of gravity in triangles and the barycenter theorem.

Strapdown Inertial Navigation

Covers the principles of strapdown inertial navigation systems and the use of higher-order Runge-Kutta methods.

Differentiation: Continuity vs Differentiability

Explores the relationship between continuity and differentiability of functions, highlighting examples where functions exhibit different properties at specific points.

Fixed Point Theorem

Explores fixed point theorems, recurrent sequences, and convergence properties, emphasizing the significance of fixed points in analysis.

Isogenic Graphs: Spectral Analysis and Mathematical Applications

Explores isogenic graphs, spectral properties, and mathematical applications in modular forms and cryptography.

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Taylor Approximation: Understanding the Basics

Explores Taylor approximation for function approximation and error control.

Efforts in Structures II: Maximums and Signs

Analyzes efforts in trusses, emphasizing maximum values and sign distribution in different members.