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\textbf{Thesis Progress Report}  \textbf{Introduction}  The goal of the this  thesis is to compare the stellar mass  growth rate  vs current mass of local group dwarf  galaxies with distant ones. The following progress has been made. galaxies.  Thisreport will also cover progress made last term (this  work was then started in the fall, but was  registered with the astronomy department). department. As this is the first term registered in the Physics department, this progress report will cover work done since the fall.  \textbf{Data}  The early part of the project was dominated by trying to understand the data that would be used.  Themain  dataset  used for distant galaxies was presented in \cite{Tomczak_2014}. This paper contains a table of mass vs number density (number of galaxies per unit volume) for $0.2 < z < 3$. However, while we plotted this data and various subsets of it (only star forming or quiescent galaxies) we do not use the raw data. Instead, we use a paramaterised double Schechter function which smooths the data and ensures the number density at each mass is monotonically increasing as $z \leftarrow 0$  We do not use the raw data  We made various graphs to better understand how the growth rate was affected by whether the galaxy was quiescent or star forming. We checked their use of Schechter and Double Schechter functions, before paramaterising the Schechter function to smooth the relationship and ensure that the number density at a specific mass increased monotonically as z approached 0 \cite{Leja_2015}. With this done, graphs showing the change in mass over time between Z = 3 and Z = 0 were constructed for various start masses. A second distant galaxy data set was also introduced later in the project. This data, taken from \cite{Whitaker_2014} was used to confirm that the results were reasonable and backed up by other data. Again, a paramaterisation rather that raw data was used.