I should get in about 150-200 hours of study before the test (I haven't had math outside of calculations made in lab in a long while). I've heard that chemistry was supposed to be difficult, but I made a decent score with a relatively light effort.Ī: CLEP Calculus w/ CD-ROM (REA): Gregory Hill: BooksĪfter I finish the REA book, I'll look into some AP clep books and see how those compare. This is my motivation for taking the calculus exam. Good job, this is a comparably tough subject in terms of progressive knowledge and problem-solving, so it's good to see you have form Yeah. Irnbru Wrote:Notice someone asking here has already passed Chemistry. Good job, this is a comparably tough subject in terms of progressive knowledge and problem-solving, so it's good to see you have form Notice someone asking here has already passed Chemistry. If you can work through a calculus chapter or section, answer the questions, go back a day later and -recognise- the type of questions and answer them, you are doing the right thing. :eek: You must work up to and through the problems in a systematic manner so that you get enough practice. You cannot pass calculus with flashcards. I used both of these titles and others to supplment my 'recommended' text when i did the maths several years ago. Okie, enough battering us about the head with this nonsense.Īny book suited for a first class in calculus is suitable provided you have roughly the prerequisite knowledge. Recognising graphs and being able to read properties such as potential degree or choosing which graph might be the differentiated/original/integrated is worth points.ĭe Moivre's theorem is in there, too so you need those complex numbers. Manipulation of trig functions and identities is very much required, especially when dealing with integration by parts or trigonometric substitution. However, after hammering at limits, most (harder) limit problems in calculus I can be solved by differentiating the numerator and denominator until the answer appears, i.e. Limits are a big part of real and complex Analysis (which is happily, very limited here). Studying limits and answering problems on them is often harder than differentiating functions or evaluating integrals. The study of the calculus I itself also (normally) follows a progressive route which is roughly Limits, then Differentiation, then Integration. Including, but not limited to Algebra, Trigonometry, Complex numbers, Graphs and functions. This means, that the syllabus for precalculus has to be fairly well known to you. And there are other functions that can be written both as products and as compositions, like d/dx cos(x)cos(x).Okie, let's get the bad news out of the way first :confused:Ĭalculus (and maths in general) is one of those subjects where prerequisite knowledge and experience of solving 'easier' problems is necessary. There are other functions that can be written only as products, like d/dx sin(x)cos(x). In summary, there are some functions that can be written only as compositions, like d/dx ln(cos(x)). recognizes that we can rewrite as a composition d/dx cos^2(x) and apply the chain rule. You can see this by plugging the following two lines into Wolfram Alpha (one at a time) and clicking "step-by-step-solution":įor d/dx sin(x)cos(x), W.A. This suggests that the problem we are about to work (Problem 2) will teach us the difference between compositions and products, but, surprisingly, cos^2(x) is both a composition _and_ a product. Immediately before the problem, we read, "students often confuse compositions. The placement of the problem on the page is a little misleading. Yes, applying the chain rule and applying the product rule are both valid ways to take a derivative in Problem 2. For example, cos ( x 2 ) \greenD f ′ ( g ′ ( x ) ) start color #11accd, f, prime, left parenthesis, end color #11accd, start color #ca337c, g, prime, left parenthesis, x, right parenthesis, end color #ca337c, start color #11accd, right parenthesis, end color #11accd.
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