Numerical Methods for Chemical Engineering Practice and Problem Solving

Chemical engineering challenges often involve complex differential equations, transport phenomena, and reactor designs that cannot be solved analytically. To bridge this gap, engineers rely on robust numerical techniques to simulate and optimize real-world processes. This course provides a structured, text-based environment to practice and master these essential mathematical tools. You will transition from understanding theoretical equations to confidently applying numerical algorithms to simulate chemical reactors, heat transfer, and fluid flow. This course focuses on building your analytical confidence through detailed written explanations and step-by-step problem-solving guides. What you'll learn: - Understand the foundational concepts of numerical error, stability, and convergence in engineering systems - Solve systems of linear and non-linear algebraic equations representing chemical process models - Apply numerical integration and differentiation to transport phenomena problems - Formulate and solve ordinary differential equations for transient reactor systems - Implement boundary value problems for steady-state heat and mass transfer simulations - Practice modern computational workflow principles to ensure your numerical solutions are robust and reproducible The course begins with an introduction to key mathematical terminology and core numerical concepts, then moves systematically through algebraic equations, differential equations, and practical engineering scenarios. You will read comprehensive breakdowns of complex algorithms and practice applying them to chemical engineering calculations. This course is designed for undergraduate chemical engineering students, practicing engineers looking to refresh their computational skills, and beginners interested in industrial process simulation. No advanced programming or mathematical background is required to start. Begin mastering the numerical methods that power modern chemical process design and simulation today.