  This is the first paper in our series on the combined analysis of the
Dynamics and stellar Population (DynPop) for the MaNGA survey in the final SDSS
Data Release 17 (DR17). Here we present a catalogue of dynamically-determined
quantities for over 10000 nearby galaxies based on integral-field stellar
kinematics from the MaNGA survey. The dynamical properties are extracted using
the axisymmetric Jeans Anisotropic Modelling (JAM) method, which was previously
shown to be the most accurate for this kind of study. We assess systematic
uncertainties using eight dynamical models with different assumptions. We use
two orientations of the velocity ellipsoid: either cylindrically-aligned
JAM$_{\rm cyl}$ or spherically-aligned JAM$_{\rm sph}$. We also make four
assumptions for the models' dark vs. luminous matter distributions: (1)
mass-follows-light, (2) free NFW dark halo, (3) cosmologically-constrained NFW
halo, (4) generalized NFW dark halo, i.e. with free inner slope. In this
catalogue, we provide the quantities related to the mass distributions (e.g.
the density slopes and enclosed mass within a sphere of a given radius for
total mass, stellar mass, and dark matter mass components). We also provide the
complete models which can be used to compute the full luminous and mass
distribution of each galaxy. Additionally, we visually assess the qualities of
the models to help with model selections. We estimate the observed scatter in
the measured quantities which decreases as expected with improvements in
quality. For the best data quality, we find a remarkable consistency of
measured quantities between different models, highlighting the robustness of
the results.
