By Mark Zegarelli
An easy-to-understand primer on complicated calculus topicsCalculus II is a prerequisite for plenty of well known collage majors, together with pre-med, engineering, and physics. Calculus II For Dummies deals specialist guideline, suggestion, and how to aid moment semester calculus scholars get a deal with at the topic and ace their assessments. It covers intermediate calculus issues in simple English, that includes in-depth assurance of integration, together with substitution, integration innovations and whilst to exploit them, approximate integration, and wrong integrals. This hands-on consultant additionally covers sequences and sequence, with introductions to multivariable calculus, differential equations, and numerical research. better of all, it contains functional routines designed to simplify and improve knowing of this complicated topic.
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Additional info for Calculus II For Dummies (For Dummies (Math & Science))
0 + 1) 0! 1! = (1) 0! 1 = 0! When factorials show up in fractions (as they do in Chapters 12 and 13), you can usually do a lot of cancellation that makes them simpler to work with. For example: ^ 3 $ 2 $ 1h 3! = = 1 = 1 5! ^ 5 $ 4 $ 3 $ 2 $ 1h ^ 5 $ 4 h 20 Chapter 2: A Review of Pre-Calculus and Calculus I Even when a fraction includes factorials with variables, you can usually simplify it. For example: ^ x + 1h ! ^ x + 1h x! = =x+1 x! x! Polishing off polynomials A polynomial is any function of the following form: f(x) = anxn + an–1xn–1 + an–2xn–2 + ...
Then, you imagine the solid that results when you spin this region around the axis, and then you calculate the volume of this solid as seen in Figure 1-17. y Figure 1-17: A solid of revolution produced by spinning the function y = x2 around the axis x = 0. y = x2 x Chapter 1: An Aerial View of the Area Problem Clearly, you need calculus to find the area of this region. Then you need more calculus and a clear plan of attack to find the volume. I give you all this and more in Chapter 10. Understanding Infinite Series The last third of a typical Calculus II course — roughly five weeks — usually focuses on the topic of infinite series.
For example, adding a constant shifts the function up and subtracting a constant shifts it down. In contrast, the horizontal transformations are counterintuitive — that is, they take the function in the direction that you probably wouldn’t expect. For example, adding a constant shifts the function left and subtracting a constant shifts it right. Identifying some important trig identities Memorizing trig identities is like packing for a camping trip. When you’re backpacking into the wilderness, there’s a limit to what you can comfortably carry, so you should probably leave your pogo stick and your 30-pound dumbbells at home.
Calculus II For Dummies (For Dummies (Math & Science)) by Mark Zegarelli