The authors present an efficient method for calculating the anisotropy and polarization of the cosmic microwave background (CMB) in almost-Friedmann-Robertson-Walker (FRW) models with positive spatial curvature. They implement the linearized equations of the 1+3 covariant approach, which provides a physically transparent and exact description of dynamics and radiative transfer in general cosmological models. The method is based on the CMBFAST code, using a line of sight integration method to achieve high efficiency without compromising accuracy. The authors present new results for the polarization power spectra from scalar and tensor perturbations in closed models, which have not been calculated before. They validate their calculations against results from CMBFAST for open and flat models, showing good agreement. The results include the intensity and polarization power spectra in both closed and flat models, demonstrating the effects of curvature on the CMB power spectra. The Fortran 90 code is publicly available.The authors present an efficient method for calculating the anisotropy and polarization of the cosmic microwave background (CMB) in almost-Friedmann-Robertson-Walker (FRW) models with positive spatial curvature. They implement the linearized equations of the 1+3 covariant approach, which provides a physically transparent and exact description of dynamics and radiative transfer in general cosmological models. The method is based on the CMBFAST code, using a line of sight integration method to achieve high efficiency without compromising accuracy. The authors present new results for the polarization power spectra from scalar and tensor perturbations in closed models, which have not been calculated before. They validate their calculations against results from CMBFAST for open and flat models, showing good agreement. The results include the intensity and polarization power spectra in both closed and flat models, demonstrating the effects of curvature on the CMB power spectra. The Fortran 90 code is publicly available.