Numerical Methods for Chemical Engineering

Chemical engineering problems frequently require solving complex, simultaneous linear algebraic equations to model reactors, transport phenomena, and thermodynamic systems. This text-based course bridges the gap between chemical engineering theory and numerical computation, helping you master the mathematical techniques used to simulate and analyze chemical processes. You will start with core mathematical concepts and foundational definitions before progressing to practical implementation strategies. By completing this course, you will gain the confidence to set up, solve, and analyze systems of algebraic equations that represent real-world chemical processes. What you'll learn: - Understand the core mathematical theory behind simultaneous linear algebraic equations - Apply direct and iterative numerical methods to solve engineering mass and energy balances - Implement modern numerical computing practices using Python to automate complex calculations - Analyze system stability, convergence rates, and error propagation in chemical process models - Formulate matrix representations of multi-stage separation and reactor systems This course begins with essential definitions of matrix algebra and linear systems, gradually building up to numerical algorithms and computational implementation. You will explore practical examples inspired by chemical engineering thermodynamics, kinetics, and transport phenomena. This course is designed for beginners, engineering students, and practicing professionals who want to strengthen their numerical computation skills. No advanced programming or numerical analysis experience is required to start. Begin your journey into computational chemical engineering and master the tools to solve complex process equations today.