College calculus has many similarities to high school calculus, but the mathematics is typically much more rigorously introduced.

Real and complex numbers

A complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i² = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers


A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.


A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division


The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant ,cosine , cotangent , secant , sine , and tangent

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