Applied Calculus: Economic Optimization using Derivatives

Do you need to understand the fundamental mathematics behind critical business decisions like setting optimal production levels? Optimization using derivatives is the essential analytical tool for modeling economic functions and determining efficiency. This course provides a complete text-based guide to applying single-variable calculus to real-world economic scenarios. You will move from understanding basic functions to confidently solving problems involving profit maximization, cost minimization, and optimal resource allocation. What you'll learn: * Understand the fundamental relationship between derivatives and marginal economic concepts. * Practice setting up cost, revenue, and profit functions from written economic scenarios. * Apply the first and second derivative tests to locate and confirm maxima and minima for optimization. * Solve classic economic problems, including maximizing profit and minimizing average cost. * Learn to interpret the results of optimization in terms of marginal cost and marginal revenue decisions. We begin with a theoretical review of limits and differentiation rules before transitioning into practical step-by-step methods for modeling and solving applied economic examples. The course emphasizes both the calculation and the contextual interpretation of the results. This course is designed for absolute beginners in applied mathematics and economics. No prior knowledge of calculus or advanced economic theory is required. Start building your quantitative analysis skills today.