Applied Calculus: Differentiation for Data and Modeling

Have you ever wanted to find the point of maximum profit, the rate of population growth, or the best approximation for a complex system? The key lies in understanding calculus, specifically the concept of differentiation. This course makes calculus accessible by focusing on its practical application in data and modeling. You will move from abstract concepts to tangible problem-solving skills. By the end, you'll be able to use the principles of differentiation to analyze rates of change, find optimal solutions, and build simple models that describe real-world phenomena, giving you a powerful new lens through which to view the world. What you'll learn: - Understand the core concepts of limits and derivatives from first principles. - Apply standard differentiation rules to find rates of change in practical scenarios. - Use derivatives to find the maximum and minimum values of functions for optimization problems. - Learn to construct linear approximations for complex functions to simplify calculations. - Interpret the meaning of first and second derivatives in the context of analyzing function behavior. - Practice solving applied problems related to motion, economics, and science through written exercises. The course begins with a clear introduction to the fundamental ideas behind derivatives, then progresses to techniques and applications. You will work through clear, text-based explanations and exercises to build your skills step-by-step. This course is designed for absolute beginners. No prior experience with calculus is required—just a grasp of foundational algebra and a curiosity to learn. Begin learning how to model the world with calculus today.