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Mathematics
Mathematics is about number operations and algebra, motion and change (calculus and differential equations), logical analysis, scientific visualization, structure and geometry, the prediction of rando...
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MAT 193 Calculus II
Password: You can change the password after the first log in. If you did not use WeBWorK before, use Set0 to learn how to input your answers (Set0 will not be graded). You should download and prin...
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Math Page for Professor Serban Raianu, algebra book
This book, Algebra I: Groups, Rings, & Arithmetic, is a book I use in the Abstract Algebra, MAT 333 class at CSUDH. You can download the latest PDF file here. You can buy a printed copy of the boo...
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Calculus Series
A series is the sum of a sequence. It is clear what that means if the sequence is finite. We use the symbol \(\sum_{n=m}^k a_n\) as a shorthand for the sum \begin{equation*} a_m + a_{m+1} + \cdots ...
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Calculus Front Matter
\(\newcommand{\identity}{\mathrm{id}} \newcommand{\Null}{\operatorname{Null}} \newcommand{\ds}{\displaystyle} \newcommand{\ve}{\varepsilon} \DeclareMathOperator{\asec}{arcsec} \newcommand{\d}{\mathrm{...
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Calculus Hints and Answers to Selected Exercises
Solution. \begin{align*} \int \sin(mx)\cos(nx)dx &= \int\dfrac{1}{2}(\sin(m+n)(x) + \sin(m-n)(x))dx\\ &= \begin{cases} -\dfrac{1}{2(m+n)}\cos(m+n)(x) - \dfrac{1}{2(m-n)}\cos(m-n)(x) + C & m \neq n \\...