Calculus 1: A Foundational Introduction

Do you find the concepts of change, accumulation, and infinity daunting? This course demystifies the core principles of Calculus 1, making complex ideas accessible. By the end of this course, you will possess a robust understanding of single-variable calculus, enabling you to interpret mathematical models, solve problems involving rates of change, and confidently progress to more advanced topics. What you'll learn: Learn fundamental definitions of limits and continuity. Master differentiation techniques for various function types. Apply derivatives to solve optimization and related rates problems. Understand the concept of integration and its relationship to differentiation. Practice calculating definite and indefinite integrals. Explore basic techniques for solving introductory differential equations. Develop problem-solving strategies for real-world scenarios using calculus. The course begins with foundational concepts of functions and limits, progressing through differential calculus, and concluding with an introduction to integral calculus and its applications. This course is designed for absolute beginners with a basic understanding of algebra and pre-calculus concepts, seeking a clear and comprehensive introduction to calculus. Embark on your journey to master the language of change and motion.