The enthalpy of reaction is evaluated (by the software of modern calorimeters) from the aria of the peak of the thermogram corresponding to the considered process. A standard process (e.g. melting of indium) is used.  In my knowledge there is no possibility (at least as a general method) of evaluating entropy from DSC or DTA.

The area between the peak of the reaction in the heat flow (DSC) curve and the appropriately chosen baseline will give the enthalpy of reaction. This is easily done the instrument software. The entropy can be calculated by using the equation for Gibbs free energy: deltaG=deltaH-T(deltaS). This is tricky because you will have to determine the temperature (T) at which the free energy is zero which may not be obvious depending on the reaction under consideration.

To calculate any thermodynamics properties such H,S ,G and so on .. Only Cp with function Tempe is required whcih can ba calculted from TGA-DSC techniques.. Say example if you Cp =a+bT +... can be know my TGA-DSC...Change in H = Integration Cp. dT over your intrested tempe.. For change in S = Integration Cp/T dt over a temp. ..if you Knw dH  and dS you able to calculate dG .. Other TD properties can calculated using smiliar method.

The definition of the thermodynamic potential functions is found in every textbook of physical chemistry/thermodynamics. As mentioned before you need (precise) measurements of specific heat capacity of the sample in question to calculate the respective functions like enthalpy and entropy. To get H(T) or S(T) of the sample you have to measure cp(T) from T=0 on. To get the enthalpy- or entropy difference of a reaction for example you have to start the measurement of the (apparent) heat capacity of the reactants during reaction and the product from this it is possible to determine the enthalpy difference of the reaction by proper integration. For details see literature and my paper: "From DSC curve to thermodynamic potential function" Thermochimica Acta 187, 283 (1991), see attachment. From TGA you cannot determine heat capacity and therefore no thermodynamic function! Regards, Gunther Höhne

Entropy: A concept that is not a physical quantity

https://www.researchgate.net/publication/230554936_Entropy_A_concept_that_is_not_a_physical_quantity