Introduction to Calculus for Science and Data Engineering

Calculus is the mathematical language of change, serving as the essential foundation for modern engineering, machine learning, and quantitative analysis. This text-based course guides you from basic algebraic concepts to the powerful tools of differentiation and integration, stripping away the intimidation of complex formulas. You will build a strong intuitive and practical understanding of how mathematical functions behave and evolve. What you'll learn: Understand the foundational concept of limits and how they define continuity; Calculate derivatives using core rules including the product, quotient, and chain rules; Apply optimization techniques to solve real-world maximization and minimization problems; Grasp the Fundamental Theorem of Calculus to connect derivatives and integrals; Master basic integration techniques for calculating areas under curves; Explore how calculus concepts directly power modern machine learning algorithms and data models. This structured course begins with essential mathematical terminology and foundational definitions before guiding you step-by-step through practical problem-solving techniques. It is designed specifically for beginners, requiring only a basic background in high school algebra. Start your journey into advanced mathematics today and build the analytical skills needed for modern technical fields.