Numerical Methods for Chemical Engineering: Step-by-Step Problem Solving

Chemical engineering problems often involve complex systems of equations, transport phenomena, and reactor kinetics that cannot be solved analytically. To tackle these real-world challenges, engineers must rely on robust computational techniques to find precise numerical solutions. This text-based course guides you through the fundamental mathematical concepts and computational strategies needed to model and analyze chemical processes successfully. You will start with the essential theory of numerical approximations before moving on to practical implementation and modern engineering workflows. What you'll learn: Understand core numerical concepts including root-finding, linear systems, and numerical integration; Apply ordinary and partial differential equations to model chemical reactors and mass transfer systems; Solve complex non-linear algebraic equations representing chemical equilibrium; Implement modern computational workflows and error analysis to ensure simulation accuracy; Practice translating physical chemical engineering problems into structured, solvable mathematical algorithms. You will begin with foundational mathematical definitions and error propagation, then progress systematically through linear algebraic systems, non-linear equations, and differential equations, applying each concept to practical chemical engineering scenarios. This course is designed for undergraduate chemical engineering students, early-career process engineers, and anyone looking to build a strong foundation in computational engineering without any advanced programming prerequisites. Start developing your computational problem-solving toolkit today.