Yes calculus is a type of math that deals with the study of continuously changing quantities.
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Complex analysis.
yes it is
Some high schools have a class called "math analysis" which is before calculus, so yes. To mathematicians, however, "analysis" is a synonym for "modern" calculus, and as such, there are classes usu. taught at universities with a similar name, but far beyond basic calculus.
Math is fundamental in medicine mainly because of the fact that most things in biology can be calculated with math, such as growth rates and statistics. Calculus is just a core class to provide a foundation to other math courses.
For many people, Calculus is the most difficult math subject. But it really depends on what is easier for you. For example, some people who are excellent at Calculus still have trouble with basic algebra. Calculus has long been considered the most difficult math subject. For younger kids algerbra is also very difficult to learn.