Analysis methods are discussed for the thermal transition kinetics of the 1st-order phase transitions (e.g. crystallization, melting, and solid-solid phase transformation) and chemical reaction by thermal analysis using differential scanning calorimetry, DSC, with constant rate of heating (cooling) and periodic modulation in temperature. The analysis examines the heating rate dependences of the peak temperature obtained by a constant heating (cooling) of DSC and of the characteristics time of the frequency dispersion of an effective dynamic heat capacity determined by Temperature-Modulated DSC. Those dependences are from kinetic response of the transformation processes, so that shares common valuable information on the kinetics. The following transition kinetics has been examined, and the applicability of the methods has been confirmed: polymer crystallization, polymer crystal melting, isotropization transition of a nematic polymer, an epoxy thermosetting system, martensitic transformation of TiNi alloy, melting and crystallization of ice/water confined in a porous silica gel, ferroelectric transformations of P(VDF-TrFE) copolymers. The emphasis is on the application to the complex systems having broad transition region with fast kinetics: a typical example is the melting of polymer crystals.