Calculus is a branch of mathematics that studies continuous change, focusing on how quantities vary and accumulate. It is divided into two main branches: differential calculus, which deals with rates of change and slopes of curves, and integral calculus, which involves the accumulation of quantities and finding areas under curves. The two are connected by the Fundamental Theorem of Calculus, which shows that differentiation and integration are inverse processes. Calculus provides essential tools for understanding and modeling real-world phenomena in science, engineering, economics, and data analysis, making it a cornerstone of modern mathematical applications.
By the end of the study, the trainee should be able to apply differentiation and integration techniques to solve practical problems, analyze rates of change, compute areas and volumes, and interpret mathematical models describing real-world situations.
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