This chapter contains sections titled: Introduction to Stochastic Calculus Introduction to Stochastic Differential Equations Introduction to Stochastic Processes with Jumps Numerical Solutions of Some Stochastic Differential Equations (SDE) Application Case: Generation of a Stochastic Differential Equation using the Euler and Milstein Schemes Application Case: Simulation of a Stochastic Differential Equation with Control and Antithetic Variables Application Case: Generation of a Stochastic Differential Equation with Jumps