Stochastic Modelling - Course Notes & Examples

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 3rd-year module, Stochastic Modelling.. The course built on a previous modules on Probability. The course covered the topics: Stochastic Processes, Time-Homogeneity, Markov Chains, Transition Matrices, Random Walks, Stationary Distributions, Probability States, Classes, Periods, Markov Jump Processes, Kolmogorov Equations, Jump & Holding Times.. These notes are ideal for anyone studying probability at an intermediate to advanced level. The notes themselves are not a "copy and paste of the course content. Included in the notes are definitions of all terms in the course, a summary of all theorems with proofs and are complete with examples of questions that you may see in exams with full solutions. I achieved 71 in this module.