Numerical Methods for Chemical Engineering: Core Problem Solving

Chemical engineering relies heavily on numerical analysis to solve complex mass balances, thermodynamics equations, and reactor models that cannot be resolved analytically. This course provides a clear, step-by-step guide to understanding the essential mathematical techniques used to simulate and solve chemical engineering problems. You will learn how to translate physical processes into solvable mathematical systems and apply robust numerical algorithms to find accurate solutions. By working through structured explanations and detailed problem-solving walks, you will build the confidence to set up, analyze, and solve core engineering equations. The course starts with basic mathematical definitions and linear systems before moving to non-linear equations, ordinary differential equations, and numerical error analysis. What you'll learn: - Understand the fundamental numerical concepts and sources of mathematical error in engineering computations - Solve systems of linear algebraic equations using elimination and iterative matrix methods - Apply root-finding algorithms to solve non-linear single equations and multi-variable systems - Formulate numerical approximations for derivatives and integrals in chemical reaction systems - Solve ordinary differential equations representing transient mass and energy balances - Analyze numerical stability and convergence criteria for chemical process models The course begins with foundational concepts of numerical approximation and error propagation, followed by detailed written walk-throughs of classic chemical engineering problems. You will study complete mathematical formulations and step-by-step solution strategies that mirror real-world engineering assessments. This course is designed for undergraduate chemical engineering students, self-directed learners, and junior engineers looking to reinforce their mathematical foundation. No advanced programming or prior numerical analysis experience is required to get started.