1 Introduction to Calculus
Calculus (Mathematical Techniques) is the mathematics of change and motion, offering powerful tools to model dynamic systems, solve complex problems, and make predictions in science, engineering, and technology. Mastery of calculus enables us to analyze diverse real-world phenomena, from the path of a moving object to the efficient allocation of resources.
The Figure 1.1 presents a visual overview of the chapter, highlighting the structure of key topics and their interconnections. It provides readers with a clear guide to navigate the material and understand ho w concepts link to applications.
This chapter introduces the fundamental building blocks of calculus, including real numbers, functions, limits, derivatives, integrals, and transcendental functions. Each concept is connected to practical applications to illustrate how calculus underpins real-world problem-solving.