NOVELTY - An acrylic polymer has structural unit derived from (meth)acrylate (I) and structural unit derived from epoxy group (II). The acrylic polymer has mass mean molecular weight of 1000-100000.    USE - Acrylic polymer is used for polymerizable resin composition used for gel-like polyelectrolyte (all claimed) for lithium secondary battery used for electronic device. Uses include but are not limited to mobile telephone, notebook computer, portable music apparatus, game machine, personal handy-phone system (PHS), electric vehicle, hybrid electric vehicle (HEV) and used as backup power supply and non-portable power supply.    ADVANTAGE - The battery performance is maintained on a sufficient level and long life is ensured by achieving high ionic conductivity at the time of discharge by heavy current, even if special manufacturing process is not required. Since solvent is not used, the problem of diffusion of volatilization gas or leakage can be prevented. Since the electric current flows uniformly into the whole electrolyte surface, the generation and growth of lithium dendrite in the electrolyte is suppressed. Since fluorine-containing polymer such as polyvinylidene fluoride is not used for electrolyte, the environmental effect can be reduced. The cycling characteristics, discharge characteristics in heavy current and ionic characteristic of the gel-like polyelectrolyte are improved, by using the acrylic polymer.    DETAILED DESCRIPTION - An acrylic polymer has structural unit derived from (meth)acrylate (I) of formula: and structural unit derived from epoxy group (II). The acrylic polymer has mass mean molecular weight of 1000-100000.    R=H or methyl;    R1=H, 1-8C straight alkyl or 1-8C alicyclic alkyl;    R2=single bond or 1-10C linear alkylene;    X=single bond, NR0, O, S or NH;and    R0=H or 1-10C hydrocarbyl.    INDEPENDENT CLAIMS are included for the following:    (1) synthesis of acrylic polymer, involves using solvent chosen from dimethyl carbonate, diethyl carbonate and methyl ethyl carbonate;    (2) polymerizable resin composition, which contains acrylic polymer, compound having two or more amino group or non-aqueous electrolyte of alkali metal salt; and    (3) gel-like polyelectrolyte, which is obtained by heating polymerizable resin composition, polymerizing and gelatinizing.