Stochastic Calculus: Foundations and Applications

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Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

Explores the derivative of an integral with parameter dependency and its continuity.

Explores curve integrals, emphasizing parameterizations, geometric curves, and Riemann sums.

Covers variational methods to find the shortest time path for a particle under gravity.

Covers Darboux sums, properties, and the fundamental theorem of calculus.

Provides an overview of integral calculus, including Darboux sums, closed box subdivisions, and integrability of continuous functions.

Covers martingales, stochastic integration, and localizing processes using stopping times.

Covers the basic concepts and theorems of integral calculus.

Covers the introduction to mechanics, historical figures, importance of experiments, and acceleration.