  "TRAO FUNS" is a project to survey Gould Belt's clouds in molecular lines.
This paper presents its first results on the central region of the California
molecular cloud, L1478. We performed On-The-Fly mapping observations using the
Taedeok Radio Astronomy Observatory (TRAO) 14m single dish telescope equipped
with a 16 multi-beam array covering $\sim$1.0 square degree area of this region
using C$^{18}$O (1-0) mainly tracing low density cloud and about 460 square
arcminute area using N$_{2}$H$^{+}$ (1-0) mainly tracing dense cores. CS (2-1)
and SO $(3_{2}-2_{1})$ were also used simultaneously to map $\sim$440 square
arcminute area of this region. We identified 10 filaments by applying the
dendrogram technique to the C$^{18}$O data-cube and 8 dense N$_{2}$H$^{+}$
cores by using {\sc FellWalker}. Basic physical properties of filaments such as
mass, length, width, velocity field, and velocity dispersion are derived. It is
found that L1478 consists of several filaments with slightly different
velocities. Especially the filaments which are supercritical are found to
contain dense cores detected in N$_{2}$H$^{+}$. Comparison of non-thermal
velocity dispersions derived from C$^{18}$O and N$_{2}$H$^{+}$ for the
filaments and dense cores indicates that some of dense cores share similar
kinematics with those of the surrounding filaments while several dense cores
have different kinematics with those of their filaments. This suggests that the
formation mechanism of dense cores and filaments can be different in individual
filaments depending on their morphologies and environments.
