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Calculus I: A Brief Overview
For many people, “calculation” is one of those big words with a lot of scary connotations. There seems to be a lot of associations with “smart people” and long, complicated equations, and it’s intimidating to many people given the choice of taking the first class of the math sequence. To help people cope with getting into Calculus I, and to give people a better idea of what’s involved, here we’ll take a look at the basic topics covered in this course and what to what you can expect if you plan to do it yourself, and some tips to help you.
The main difference between algebra and calculus initially is that calculus is basically learning how to perform two new operations on functions. The calculation I is centered on one of these operations, called derivative. A derivative can be used for a wide range of applications beyond the scope of our discussion here, but suffice it to say that they are very useful. Most Calculus I involves learning to take the derivative of various kinds of functions based on different models, and by the time you’re done with Calculus I, there aren’t many functions of one variable that you won’t. cannot take the derivative of.
In terms of level of difficulty, Calculus I is not necessarily more difficult than the algebra courses that lead to it, but it is definitely a different type of material that is covered. While algebra is based on very concrete values like exact measurements, calculus is often concerned with more abstract concepts and is sometimes more based on feeling than pure calculation. Some people think that calculus is easier than algebra, while others also think that algebra was easier than calculus, so it totally depends on the person as to which is more difficult.
To increase your chances of success in Calculus I, there are a number of special things you can do that, unfortunately, are often taken for granted or not always highlighted properly in class. The main thing you should do, and it’s absolutely essential, is to study calculus on a daily basis, even if it’s only for 10 or 15 minutes to review what was covered in the previous course and to remember what will follow. This is an especially difficult habit for people who have become familiar with algebra, but because calculus is a very different type of subject from algebra, different types of thought processes come into it. The point of reviewing each day is to familiarize yourself with what’s going on in your Calculus I course so that you never fall behind and can spot issues you’ll have trouble with before it’s too much. late.
Calculus I is the first course in a sequence that will open up math to you in ways you probably never imagined, but you have to be very careful what you get into, because calculus is a subject that nothing like you’ve never seen before.
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