How to find the amino acid in the DNA protein
Then you just have to read the codon until you reach a stop codon. There are three stop codon UAA, UGA and UAG. So, in your example..

             Start                                                   Stop
5' U A U C | A U G | G C G | U A C | A U G | C C C | G C U | C U G | U A A | G C U C G U A A G U A 3'


Your protein is therefore 7 amino acids long (incuding the starting methionine). The genetic code is


Therefore the 7 amino acids are

Met Ala Tyr Met Pro Ala Leu


In case you are confused about having an AUG codon in the middle of an open reading frame, then you should have a look at the post Effect of a doubling of the start codon in a gene.

Of course, I assumed that the region is indeed transcribed and that the first AUG is indeed the start codon and not just a methionine in the middle of an open reading frame.