There are changes in human DNA all the time, each of us has about 10 mutations that are more or less neutral.
There are also changes in the
frequency of alleles in populations over time. This in its simplest form, is evolution in the Darwinian sense.
That is to say, a population will have
variation of the frequency of traits within it at any given time.
An easy way to look at it is to look at something like eye color in a population. If a community has a generation with 90 blue eyed people and 10 brown eyed people in one generation and the next has 100 blue eyed people and no brown eyed...that is evolution. The frequency of the genes has changed. (It would be safe to say that the blue eye allele has become
fixed in this case.)
The above case only would involve genetic drift.
In a case involving Natural Selection, take a look at the number of people that now are carriers for Sickle Cell Anemia. The numbers are growing because of the presence of the Malaria parasite.
You also may wish to consider
The Red Queen Hypothesis where a species has to continuously adapt to the selective pressures brought about by the pathogens and parasites or become extinct. (We have to keep "running" just to stay in the same place.)
The human race is constantly evolving and so are the pathogens that prey upon us. Evolution happens...