Differential Calculus Fundamentals

Do you want to understand how things change, move, and optimize in the world around you? Differential Calculus provides the essential mathematical tools to analyze these dynamic processes. This course will equip you with a strong foundational understanding of differential calculus, enabling you to confidently approach problems involving rates of change, slopes of curves, and optimization across various fields. What you'll learn: Understand the core concept of limits and continuity as the basis for calculus. Master the definition and interpretation of derivatives, including geometric and physical meanings. Apply fundamental differentiation rules, such as the power rule, product rule, quotient rule, and chain rule. Practice solving problems involving rates of change, tangent lines, and curve sketching. Explore practical applications of derivatives in optimization and related rates. Grasp the essentials of implicit differentiation and higher-order derivatives. The course begins with foundational concepts of limits and continuity, progressing through the definition and rules of differentiation, and culminating in practical applications to real-world scenarios. This course is designed for absolute beginners with no prior calculus experience, as well as those looking to refresh their foundational understanding. No prerequisites beyond basic algebra are required. Start your journey into the world of differential calculus today and unlock a powerful analytical toolkit.