Numerical Methods for Chemical Engineering Applications

Chemical engineering challenges often involve complex systems of equations, transport phenomena, and thermodynamics that cannot be solved analytically. To tackle these real-world problems, a strong command of numerical methods is essential for any aspiring engineer. This course guides you from foundational mathematical concepts to the practical application of numerical algorithms in chemical engineering contexts. You will transition from theoretical equations to implementing robust computational models. By studying structured, text-only explanations and step-by-step mathematical breakdowns, you will build the confidence to analyze and solve engineering problems systematically. What you'll learn: - Understand the core principles of numerical approximation, error analysis, and convergence - Solve systems of linear and nonlinear algebraic equations representing chemical process models - Apply numerical integration and differentiation techniques to transport and reaction kinetics - Implement ordinary differential equation (ODE) solvers for transient reactor behavior - Formulate and solve partial differential equations (PDEs) for heat and mass transfer systems - Utilize modern computational practices, including basic optimization and parameter estimation This course begins with a thorough introduction to essential terminology, mathematical modeling basics, and error propagation before moving into practical numerical algorithms. You will explore a logical progression of topics, from simple algebraic root-finding to complex differential equation systems, all illustrated with chemical engineering scenarios. This course is designed for undergraduate students, transitioning researchers, and practicing engineers who want a clear, beginner-friendly introduction to computational engineering. No advanced programming or numerical analysis experience is required. Start building your engineering simulation skills today.