MATLAB and Linear Algebra Foundations for Chemical Engineering

Chemical engineering relies heavily on solving complex systems of equations, modeling transport phenomena, and simulating chemical reactors. To tackle these problems successfully, a rock-solid foundation in both linear algebra and numerical computing is absolutely essential. This text-based course bridges the gap between mathematical theory and practical engineering computation, preparing you for advanced numerical methods. You will start by mastering foundational mathematical concepts and learning how to translate physical chemical processes into matrix equations. Through structured, written explanations and clear code examples, you will learn to manipulate matrices, solve systems of linear equations, and write efficient scripts to automate engineering calculations. We also cover modern programming practices, including writing clean, modular functions and handling vectorised operations for optimal performance. What you'll learn: - Understand the core concepts of linear algebra applied directly to chemical engineering systems - Configure and navigate the MATLAB environment for numerical computation - Solve systems of linear algebraic equations representing mass and energy balances - Write structured, reusable MATLAB scripts and functions using modern coding practices - Apply vectorization techniques to speed up complex engineering simulations - Debug mathematical and programming errors systematically using written diagnostic strategies This course begins with fundamental definitions of matrices, vectors, and MATLAB syntax before guiding you step-by-step through practical engineering applications. You will read comprehensive explanations, study structured code snippets, and complete analytical exercises designed to build your confidence. This course is designed for undergraduate engineering students, self-taught programmers, and transitioning professionals who want to build a strong mathematical and computational foundation. No prior programming experience or advanced engineering background is required. Start reading today to unlock the mathematical tools needed to solve real-world chemical engineering challenges.