Foundations of Differential Calculus for IIT JAM Prep

Differential calculus forms the backbone of higher mathematics, but preparing for competitive exams like the IIT JAM requires more than just memorizing formulas. You need a deep, intuitive understanding of how functions behave, limit behaviors, and rates of change. This text-based course guides you through the fundamental principles of differential calculus, transforming abstract mathematical theories into clear, actionable problem-solving strategies. What you'll learn: - Understand core definitions of limits, continuity, and differentiability from first principles. - Apply key theorems like the Mean Value Theorem and Rolle's Theorem to solve rigorous mathematical problems. - Master techniques for analyzing functions, including finding local extrema, concavity, and points of inflection. - Solve typical multiple-choice and numerical answer questions aligned with the IIT JAM syllabus. - Explore modern computational applications of differentiation, such as linear approximations and error estimation. The course begins with foundational definitions of real-valued functions and key terminology, before progressing to limit evaluation, derivative calculations, and advanced theorem applications. This structured reading format is designed for university students preparing for the IIT JAM Mathematics or Mathematical Statistics papers, requiring only a basic algebra background. Start reading today to master the mathematical tools needed to excel in your exam.