The roots of calculus
The concept of a “function”. The most basic functions that occur in calculus,
including polynomials, trigonometric functions, inverse trigonometric functions,
exponential functions, and logarithmic functions. Word-Building Structure. About
Newton's work "The Mathematical Principles of Natural Philosophy".
Limits and continuity
The development of calculus by Newton and Leibniz. The concept of a
“limit”. An informal, intuitive notion to a precise mathematical definition of limit.
Application of limits to study “continuous” curves.
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