In this paper, the maximum power point tracking (MPPT) of a photovoltaic module in a system with a boost DC-DC converter and a constant resistance load is analyzed at the simulation level. The maximum power point is tracked using two advanced MPPT methods: the shift and observation method and the incremental conductivity method. First, the operating principle of the photovoltaic cell is described, as well as the influence of temperature and insolation on the efficiency of converting solar energy into electricity. The basic characteristics of the boost DC-DC converter without galvanic isolation and the associated characteristic operating modes are discussed. Then, the operating principle of the MPPT algorithms is described, with special emphasis on the methods used. The model used for the simulations was implemented in the MATLAB-Simulink software package. All components used and their parameters are listed and described. Since a battery is connected in parallel to the load, the voltage at the system output is approximately constant, while the voltage of the PV module is regulated using a PI regulator, with the aim of achieving the maximum power point. The method of selecting controller parameters and MPPT algorithm block parameters for both methods is described. The voltage, power, current and control factor responses for varying insolation values at different constant temperatures are simulated. Finally, the simulation results obtained using both MPPT methods are presented and compared.