Lectures related to Maximal Internal Containing Interval

Mathematical Rigor and Course Organization

Emphasizes mathematical rigor, clear communication, and exercise organization in teaching methods.

Covers the concept of elliptic problems and their applications in various scenarios.

Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Geometric Meanings: Euclidean Division and Divine Proportion

Explores the historical and mathematical significance of Euclidean Division and the Divine Proportion in geometry and art.

Self-Avoiding Random Walks

Explores self-avoiding random walks and their mathematical models, emphasizing the importance of paths that are self-avoiding.

Stochastic Simulation: Uncertainty Quantification

Explores uncertainty quantification using Quasi Monte Carlo methods and discrepancy measures for integral approximation and volume estimation.

Proof of Delta Function Properties

Explores the proof of properties related to the delta function in mathematical analysis.

Conformal Blocks: Understanding Young Diagrams and Weight States

Covers conformal blocks, Young diagrams, and their significance in weight states.

Extended Josephson Junctions: Modeling and Critical Current

Covers the magnetic thickness, short and long junctions, and critical current.

Geometric Expansion of Crom-Conrelation

Explores the geometric expansion of the crom-conrelation, focusing on mathematical formulas and correlation analysis.

Boundary Problems in 1D: Part 1

Covers the resolution of boundary problems in 1D, focusing on mathematical concepts and equations.

Dimensional Analysis of Explosions

Explores dimensional analysis of large explosions using recorded images to predict outcomes based on known parameters.

Introduction to Tempered Distributions

Introduces tempered distributions, covering acceleration, force, impulse, and short duration shocks.

Mechanics: Introduction and Calculus

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

Taylor Series and Secant Method: Numerical Analysis Techniques

Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.

Spin Glasses: Fully Connected

Covers the basics of spin glasses and the mathematical equations used to model them.

Engineering model for capillary sorption

Presents an engineering model for capillary sorption in cementitious materials, focusing on simple experimental analysis and mathematical formulations.

Pen-and-paper exercises: Session 4

Focuses on pen-and-paper exercises in computational analysis and problem-solving strategies.

Monodromy Conjecture

Explores the Monodromy Conjecture, discussing its origins, implications, and conditions for convergence in mathematical contexts.

Oil Convection Study

Studies the convection of oil in a baking dish.