  Late-time cosmic acceleration is one of the most interesting unsolved puzzles
in modern cosmology. The explanation most accepted nowadays, dark energy,
raises questions about its own nature, e.g. what exactly is dark energy, and
implications to the observations, e.g. how to handle fine tuning problem and
coincidence problem. Hence, dark energy evolution through cosmic history,
together with its equation of state, are subjects of research in many current
experiments. In this dissertation, using Markov Chain Monte Carlo sampling, we
try to constrain the evolution of the dark energy equation of state in a nearly
model-independent approach by combining different datasets coming from
observations of baryon acoustic oscillations, cosmic chronometers, cosmic
microwave background anisotropies and type Ia supernovae. We found no strong
evidence that could indicate deviations from $\Lambda$CDM model, which is the
standard model in cosmology accepted today.
