In this blog entry you can find lecture notes for Math2111, several variable calculus. See also the table of contents for this course. This blog entry printed to pdf is available here.
We now discuss curves and their lengths in more detail. Let 
![\boldsymbol{c}:[a,b]\to\mathbb{R}^n,](https://s0.wp.com/latex.php?latex=%5Cboldsymbol%7Bc%7D%3A%5Ba%2Cb%5D%5Cto%5Cmathbb%7BR%7D%5En%2C&bg=ffffff&fg=333333&s=0&c=20201002)
![\{\boldsymbol{c}(t) \in \mathbb{R}^n: t\in [a,b]\}.](https://s0.wp.com/latex.php?latex=%5C%7B%5Cboldsymbol%7Bc%7D%28t%29+%5Cin+%5Cmathbb%7BR%7D%5En%3A+t%5Cin+%5Ba%2Cb%5D%5C%7D.&bg=ffffff&fg=333333&s=0&c=20201002)
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