Numerical Methods for Chemical Engineering: Nonlinear Equations

Chemical engineering systems—from reactor design to multi-component distillation—frequently rely on complex systems of nonlinear equations that cannot be solved analytically. This text-based course provides a clear, step-by-step pathway to understanding and applying numerical algorithms to solve these critical engineering problems. You will transform your theoretical engineering knowledge into practical, computational problem-solving skills using modern numerical strategies. What you'll learn: Understand the foundational theory of nonlinear algebraic equations in chemical processes; Apply the Newton-Raphson method to multi-variable chemical engineering systems; Implement robust iterative solvers and understand convergence criteria; Handle highly sensitive initial guesses in thermodynamic and kinetic models; Analyze and debug solver errors in simulated process systems; Apply modern programming practices like vectorization and type hints to ensure clean, reusable numerical code. This course begins with essential mathematical terminology and foundational concepts before guiding you through structured written derivations, algorithmic logic, and practical code-based engineering scenarios. Designed specifically for beginners, this course requires no prior background in numerical analysis or advanced programming. Start mastering the computational tools that drive modern chemical process design today.