Calculus Fundamentals: Limits and Derivatives

Calculus is a cornerstone of science and engineering, but its initial concepts can seem daunting. This course will demystify the core principles of limits and derivatives, providing you with a clear, conceptual, and practical understanding essential for further mathematical and scientific study. What you'll learn: * Understand the precise definition and intuitive meaning of limits. * Apply various techniques to evaluate limits of functions. * Grasp the geometric and physical interpretations of derivatives as rates of change. * Master fundamental differentiation rules for common function types. * Solve practical problems involving optimization and related rates. * Recognize how limits and derivatives underpin modern quantitative fields. The course progresses systematically, starting with foundational definitions and gradually building towards applying these powerful concepts to solve diverse mathematical challenges. This course is designed for absolute beginners in calculus, requiring no prior experience with advanced mathematics. Begin your journey into the world of calculus and unlock new analytical abilities.