Numerical Methods for Chemical Engineering Fundamentals

Chemical engineering problems frequently involve complex systems of algebraic and differential equations that cannot be solved analytically. To design, optimize, and control chemical processes, you must understand how to translate physical phenomena into numerical models. This course provides a clear, step-by-step introduction to numerical computation specifically tailored for chemical engineering applications. You will begin by learning the foundational mathematical principles, core terminology, and basic concepts of error analysis and convergence. Through clear written explanations, you will explore how to set up and solve systems of linear and nonlinear equations, model chemical reactors, and analyze transport phenomena using robust numerical algorithms. We also cover modern computational practices, including writing clean, modular Python scripts to automate these mathematical workflows. What you'll learn: - Understand the core mathematical principles behind numerical approximation and error propagation in chemical processes - Solve systems of linear and non-linear algebraic equations representing chemical equilibrium and mass balances - Apply numerical integration techniques to model chemical reactor design and kinetics - Formulate ordinary differential equations to simulate transient heat and mass transfer systems - Implement modern computational practices using structured Python scripts to automate numerical solvers - Analyze convergence and stability of numerical solutions to ensure physical accuracy This course is structured to build your confidence from the ground up, starting with basic definitions and mathematical proofs before moving into practical engineering scenarios. Each concept is reinforced with detailed text explanations and targeted practice problems with step-by-step solutions. This course is designed for students, researchers, and practicing chemical engineers who want to build a solid foundation in numerical computation. No advanced programming or numerical analysis experience is required to begin. Start mastering the numerical techniques essential for modern chemical engineering today.