Mathematical Analysis: Factorial Generalization and Absorption

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Page 3 of 4

Covers the fundamental solutions of the Laplace equation and introduces distributions.

Covers fundamental statistics concepts, including estimation theory, distributions, and the law of large numbers, with practical examples.

Covers fundamental concepts in probability and statistics, including distributions, properties, and expectations of random variables.

Introduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.

Explores density of states in statistical thermodynamics and the use of Heaviside functions for energy level probabilities.

Covers distributions and techniques in Quantitative Risk Management for financial modeling.

Explores distributions, linear systems, impulse response, convolution operators, and causal systems in signals and systems.

Covers distributions, linear systems, impulse response, convolution, and examples of linear systems.

Explores Monte Carlo methods and direct integration in civil engineering for risk analysis and management.

Covers the fundamentals of the Fourier transformation, including decreasing causal exponential signals and the Schwartz class.