I currently work as a TA during my PhD for first year mathematics courses that cover Calculus, Linear Algebra and Discrete Mathematics. My main job is to answer any questions that students have in these areas and facilitate their learning.
Prior to this, I spent the academic year after completing my masters being a TA at Edinburgh University. My job was similar to what I am doing now, but it also included and was based around weekly tutorials. In addition to tutoring first years, I also helped tutor more advanced third year and fourth year undergrad courses in abstract and commutative algebra.
Consider the points $P$ such that the distance from $P$ to$A(-1,5,3)$ is twice the distance from $P$ to $B(6,2,-2) .$ Showthat the set of all such points is a sphere, and find its center andradius.
For the following exercises, find $f^{\prime}(x)$ for each function.$$f(x)=5 x^{3}-x+1$$
For the following exercises, find $f^{\prime}(x)$ for each function.$$f(x)=8 x^{4}+9 x^{2}-1$$
For the following exercises, find $f^{\prime}(x)$ for each function.$$f(x)=3 x\left(18 x^{4}+\frac{13}{x+1}\right)$$
For the following exercises, find $f^{\prime}(x)$ for each function.$$f(x)=x^{2}\left(\frac{2}{x^{2}}+\frac{5}{x^{3}}\right)$$
For the following exercises, find $f^{\prime}(x)$ for each function.$$f(x)=\frac{4 x^{3}-2 x+1}{x^{2}}$$
