Numerical Methods for Chemical Engineering Fundamentals

Chemical engineering problems frequently involve complex systems of equations, non-linear behavior, and transport phenomena that cannot be solved by hand. Understanding the foundational numerical methods used to model these systems is essential for modern engineering practice. This text-only course guides you through the core mathematical concepts and computational techniques required to analyze and solve chemical engineering processes. You will transition from theoretical equations to practical numerical solutions, gaining the confidence to set up and resolve complex engineering models. Through clear explanations and step-by-step mathematical breakdowns, you will learn how to approach simulation, optimization, and transport modeling. What you'll learn: - Understand the foundational concepts of numerical error, convergence, and stability in engineering computations - Solve systems of non-linear algebraic equations common in chemical equilibrium and reactor design - Apply numerical integration techniques to model batch reactors and transport phenomena - Configure finite difference methods to solve ordinary and partial differential equations - Practice formulating chemical engineering mass and energy balances as solvable numerical systems - Learn modern best practices for structuring engineering calculations and verifying numerical accuracy This course begins with fundamental definitions of numerical analysis, error propagation, and basic matrix algebra before moving into system modeling and differential equations. You will read comprehensive explanations, study structured algorithms, and work through guided engineering problems. This course is designed for undergraduate chemical engineering students, early-career process engineers, and anyone looking to build a solid foundation in computational engineering methods. No advanced programming or prior numerical analysis experience is required. Start building your engineering problem-solving toolkit today.