Foundational Calculus: Differentiation and Integration for Science and Engineering

Many students struggle with physics and advanced technical concepts not because of the science itself, but because of the underlying mathematics. Mastering differentiation and integration is the key to unlocking these subjects and solving complex problems with absolute confidence. This text-based course guides you step-by-step from the absolute basics of limits to the practical application of integrals, ensuring you build a strong mathematical foundation for academic success and competitive exam preparation. What you'll learn: - Understand the core terminology and fundamental concepts of limits, derivatives, and integrals - Apply key differentiation rules, including the power, product, quotient, and chain rules - Solve optimization problems and analyze rates of change in physical systems - Master integration techniques to calculate areas under curves and solve basic differential equations - Connect calculus principles directly to foundational physics concepts like velocity, acceleration, and work - Practice step-by-step mathematical problem-solving strategies through targeted written exercises You will begin with foundational definitions and key terminology before moving systematically through practical differentiation rules, integration techniques, and real-world applications. Designed for beginners and students preparing for engineering or physics exams, this course requires no prior calculus experience. Start reading today to build a rock-solid mathematical foundation.