The evolution of the Universe from the Big Bang to the far future and the experimental evidence supporting it.The course will cover: 1) the first seconds before BIg Bang Nucleosynthesis 2) Big bang nucleosynthesis 3) The radiation age, the recombination and the Cosmic Microwave Background 4) The end of the dark ages and cosmic dawn; the first stars and first galaxies 5) the synthesis of the chemical elements 6) the matter age 7) dark matter 8) the dark energy age 9) the far future. The course will deal with the phenomena without advanced mathematics.