This course will introduce students to the topics associated with differential equations and applied numerical methods in solving engineering problems. Students will learn how to translate engineering problems into differential equations, develop MATLAB models and investigate different numerical methods to find solutions. Using software, students will learn how to solve differential equations, find roots of equations, the method of gradient descent, discrete and continuous optimization, and finding the solution of linear equations using numerical methods. Techniques will be applied in a series of projects focused on engineering applications.