Calculus Fundamentals: Maxima, Minima, and Derivatives

Are you looking to build a strong foundation in calculus for mathematical problem-solving? This course focuses on the essential concepts that underpin many advanced mathematical and scientific fields. You will gain a clear understanding of how derivatives are used to analyze function behavior, identify critical points, and determine maximum and minimum values. This knowledge is fundamental for problem-solving in various quantitative disciplines. What you'll learn: Understand the definition and geometric interpretation of derivatives. Calculate derivatives using fundamental rules and techniques. Identify local and global maxima and minima of functions. Apply derivative concepts to analyze the monotonicity (increasing/decreasing behavior) of functions. Solve problems involving optimization and rate of change. Practice applying calculus concepts to real-world scenarios through written exercises. This course begins with the basic definitions and properties of functions, progresses through the core principles of differentiation, and culminates in the application of these concepts for finding maxima and minima. It is designed for beginners with no prior calculus experience. Build your mathematical reasoning skills with these essential calculus techniques.