Numerical Methods and Linear Algebra for Chemical Engineering

Chemical engineering systems rely heavily on mathematical modeling, from reactor design to mass transport. To analyze these systems effectively, engineers must transition from manual calculations to robust numerical computations. This text-based course bridges the gap between chemical engineering principles and the practical mathematical tools needed to solve them. You will start by mastering foundational linear algebra concepts, systems of linear equations, and matrix operations, before moving on to numerical approximation and computational modeling. The course introduces modern practices, including the use of structured data structures and basic scripting workflows to automate repetitive calculations, ensuring you build skills relevant to contemporary engineering environments. What you'll learn: - Understand foundational linear algebra principles applied to chemical processes - Set up and solve systems of linear equations representing mass and energy balances - Apply numerical methods to solve non-linear equations and optimization problems - Structure engineering data and write clean, reproducible computational scripts - Analyze reactor networks and transport phenomena using matrix-based models This course begins with core definitions and mathematical terminology, ensuring you build a strong theoretical foundation before applying these tools to practical engineering scenarios. Through clear written explanations and step-by-step mathematical walkthroughs, you will develop a systematic approach to engineering problem-solving. This course is designed for engineering students, junior researchers, and practicing professionals who want to strengthen their numerical computation skills. No advanced programming or prior linear algebra experience is required. Start mastering the mathematical tools that drive modern chemical engineering analysis today.