Some insight will reveal that this process of grouping functions into classes is an attempt to categorize functions with respect to how "smooth" or "well-behaved" they are. Examples of such classes are the continuous functions, the differentiable functions, the integrable functions, etc. One divides these functions into different classes depending on their properties. The definition of the derivative (“difference Quotient”) might be confusing too.Elementary calculus may be described as a study of real-valued functions on the real line. You might see the definition of limit, and that might seem crazy. I’ll also mention that you’ll see some things in Calc 1 that at first may seem totally confusing.You may have tons of questions about the boxes but that’s ok try to get answers for all of them because this is the most important part of the Calculus course If there’s anything you don’t understand in the boxes (like, anything!), try to get help from your teacher or from Reddit or etc. You might want to skip over the boxes at first, but at some point (like, before the next test), you’ll want to go back and try to understand the boxes. They can be hard to understand because they contain lots of jargon and confusing notation (at least IMO), but they are undoubtedly the most important part of the Calculus course If you can understand these colored boxes, calculus will become a gazillion times easier for you. In your Calculus textbook, you’ll probably see colored boxes, and inside there’ll be derivative rules, theorems, definitions, etc.Solving Equations: Do you remember how to solve for x in all of the equations taught before Calculus? For example, could you solve x 4 / x 3 = 10? Or could you solve 5x = 30? Do you know how to solve sinx = 1/2? If you’ve forgotten how to solve some equations, I suggest reviewing themĪnd I’ll give you two tips for learning Calc 1: … In my experience, there’s two main topics students often struggle with that are incredibly important prerequisite topics for Calc 1:įunctions: Do you understand the different functions taught before Calculus? For example, do you understand what quadratic functions are (parabolas)? Or do you understand exponential functions? Or do you understand logarithms? Do you understand sine? Also, do you know what composite functions are? Given a composite function, can you identify each function? If your understanding of functions is currently lacking, I recommend reviewing them That’s all the trig you need to know I think If I remember correctly, the only trig formulas you probably need to know are tan = sin/cos, csc = 1/sin, sec = 1/cos, cot = 1/tan = cos/sin (That’s how I personally do them too.) The unit circle is very useful for that.Įven if you are allowed to use a calculator in your course, you will still have to be able to evaluate inverse trig stuff, and a calculator will not give you all the answers to such evaluations… So I think it is important to memorize the unit circle I think most people who do common trig evaluations without a calculator do that by using the unit circle. Will you be allowed to use a calculator in your Calc 1 course? Some Calc 1 courses let you use a calculator, some don’t You’ll do common trig evaluations in Calc 1.
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