Calculus Handwritten Notes

Welcome to your comprehensive guide on the essential concepts of calculus, meticulously crafted for quick understanding and efficient revision. These short notes encapsulate the core ideas and techniques across fundamental chapters in calculus, including: Functions: A concise overview of types of functions, their properties, and key concepts such as domain, range, and composition. Limits: Clear explanations of limit definitions, properties, and methods to evaluate limits, including L'Hôpital's rule. Continuity: Insights into the concept of continuity, criteria for continuous functions, and theorems related to continuity. Differentiability: Detailed criteria for differentiability, relationship between continuity and differentiability, and differentiable functions. Method of Differentiation: Step-by-step methods for differentiating various types of functions, including the product, quotient, and chain rules. Applications of Differentiation: Practical applications such as finding tangents and normals, optimization problems, and motion analysis. Indefinite Integration: Techniques for integrating functions, integration rules, and the concept of the antiderivative. Definite Integration: Evaluation of definite integrals, properties, and the Fundamental Theorem of Calculus. Differential Equations: Introduction to ordinary differential equations, methods for solving them, and applications in real-world problems. These notes are designed to provide a swift and thorough review, making them an ideal resource for exam preparation and quick reference. Dive into the world of calculus with these streamlined and informative notes.