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 9 Prove the existence of graph, which doesn't contain three vertices with same degree. 5 Prove that ideal is maximal 3 Show that system is linearly dependent 2 Construct a graph with given properties 2 Finding the residue of function $\frac {\sin z}{z^2}$

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 3 Find area of surface enclosed with given curve 1 Evaluate the double integrable by making the appropriate change of variables -1 Prove for every $a_n>0$ if $\lim _{n\to \infty }\:\:\left(\sqrt[n]{a_n}\right)=L$ then $\lim _{n\to \infty }\:\:\left(\frac{a_{n+1}}{a_n}\right)=L$

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 4 integration × 6 0 graph-theory × 5 3 area × 2 0 discrete-mathematics × 2 2 calculus × 4 0 laurent-series × 2 1 change-of-variable 0 residue-calculus × 2 0 complex-analysis × 8 0 linear-algebra × 2

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