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11 lip 2023 · Here are my online notes for my Calculus II course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics from the class.
- Arc Length With Vector Functions
In this section we will extend the arc length formula we...
- Approximating Definite Integrals
In this section we will look at several fairly simple...
- Integrals Involving Quadratics
In this section we are going to look at some integrals that...
- Tangents With Polar Coordinates
In this section we will discuss how to find the derivative...
- Integration Techniques
In this chapter we will look at several integration...
- Calculus With Vector Functions
There is also one quick definition that we should get out of...
- Arc Length With Polar Coordinates
Section 9.9 : Arc Length with Polar Coordinates. We now need...
- Area With Parametric Equations
In this section we will discuss how to find the area between...
- Arc Length With Vector Functions
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11 lip 2023 · In this chapter we’ll be taking a look at sequences and (infinite) series. In fact, this chapter will deal almost exclusively with series. However, we also need to understand some of the basics of sequences in order to properly deal with series. We will therefore, spend a little time on sequences as well.
This free Calculus 2 cheatsheet has a master list of common definitions, symbols, formulas, and notes, all in one place. Easily learn important topics with practice problems and flashcards, export your terms to pdf, and more.
16 lis 2022 · In this chapter we will look at several integration techniques including Integration by Parts, Integrals Involving Trig Functions, Trig Substitutions and Partial Fractions. We will also look at Improper Integrals including using the Comparison Test for convergence/divergence of improper integrals.
cos(2θ) = cos2 θ − sin2 θ = 2cos2 θ − 1 = 1 − 2sin2 θ. the midpoint, trapezoid and Simpson’s Rule and how to apply them. You will not be required to memorize the error bounds, but you should know how to use/apply the error bounds. Make sure you review ALL the questions from the homework assignments.
CALCULUS II (Math 102) Text: Essential Calculus 2/e by James Stewart. Calculus: The study of real functions f, and their derivatives f0 and integrals R f. Let f : [a; b] ! R be continuous. De nition The de nite integral of f from a to b is. where. x. Z b Z b n X f = f(x) dx := lim f(xi) x. a n!1 i=1. = (b a)=n. and. xi = a + i x.
