Introduction to Differential Calculus for Science and Engineering

Calculus is the mathematical language of change, serving as the core foundation for modern science, engineering, and data analysis. This course helps you break down complex mathematical concepts into clear, intuitive, and highly applicable knowledge. You will transition from basic algebraic thinking to understanding dynamic systems through structured written explanations and step-by-step mathematical reasoning. What you'll learn: Understand the foundational concept of limits and continuity from first principles; Calculate derivatives using core rules including product, quotient, and chain rules; Apply optimization techniques to solve practical engineering and physics problems; Analyze curves and functions to determine rates of change and critical points; Explore modern applications of calculus in machine learning algorithms and data science. We begin with essential definitions and limit concepts before moving into core derivative techniques and practical optimization scenarios. This text-based course is designed specifically for beginners and students preparing for technical fields, requiring only a basic background in algebra and precalculus. Start building your mathematical foundation today.