(I will be reading this book again 3 months later.)įrom that, considering that I didn't know much of the basic Algebra he was talking about which I was suppose to know before reading, this book can clearly explain and help us understand Calculus. BUT I didn't understand some of it, and there are some difficult concepts to grasp and some basic informations I didn't know yet. This was my first time reading, and for me, I got the concept and how it works. The book goes over basic stuffs, important rules, and calculus. For my next books I bought from amazon, I had to. ( Considering learning Calculus, READ THE REVIEW ) (Also, I recommend reading this 2 times, first read the book understanding the basics and concept, then second time you would actually read the book.) -you'll see why that in a minute Well, calculus just picks up where they leave off - it's simply the next step in a logical progression. You made it through algebra, geometry, and trigonometry. Sure calculus is difficult - but it's manageable, doable. Real-world examples of calculus The two big ideas of calculus: differentiation and integration Why calculus works Pre-algebra and algebra review Common functions and their graphs Limits and continuity Integration and approximating area Sequences and series Don't buy the misconception. Calculus For Dummies covers the following topics and more: All explanations are in plain English, not math-speak. Then, you'll see how the calculus concepts work in concrete examples. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth. Students who need to brush up on their calculus to prepare for other studies - If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.Īdults of all ages who'd like a good introduction to the subject - Non-student readers will find the book's exposition clear and accessible. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series. Students taking their first calculus course - If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. If you can do algebra, geometry, and trig, you can do calculus.Ĭalculus For Dummies is intended for three groups of readers: It builds upon and is a logical extension of those subjects. Much of calculus is really just very advanced algebra, geometry, and trig. It's not nearly as tough as its mystique would lead you to think. Well, the good news is that you can master calculus. Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein. Calculus Made Easy by Silvanus P.The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat.How fast is the marble gaining speed down the hills, and how fast is it losing speed going up hills? How fast is the marble moving exactly halfway up the first hill? This would be the instantaneous rate of change, or derivative, of that marble at its one specific point. Roll the marble along an up and down track like a roller coaster.What is the rate of change, or derivative, of the marble’s speed? This derivative is what we call “acceleration.” Roll the marble down an incline and see how fast in gains speed.How fast does the marble change location? What is the rate of change, or derivative, of the marble’s movement? This derivative is what we call “speed.”.Now imagine that the rolling marble is tracing a line on a graph – you use derivatives to measure the instantaneous changes at any point on that line. You are rolling a marble on a table, and you measure both how far it moves each time and how fast it moves. Remember, a derivative is a measure of how fast something is changing. ![]() The easiest example is based on speed, which offers a lot of different derivatives that we see every day. Remember real-life examples of derivatives if you are still struggling to understand. For example, in y = 2 x + 4, This is called Leibniz's notation. In a function, every input has exactly one output. Functions are rules for how numbers relate to one another, and mathematicians use them to make graphs. Remember that functions are relationships between two numbers, and are used to map real-world relationships.
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