During this first year at the École Polytechnique, Navier was taught analysis by Fourier who had a remarkable influence on the young man. Fourier became a life-long friend of Navier as well as his teacher, and he took an active interest in Navier's career from that time on.
Sa panahon na ito unang taon sa École Polytechnique, Navier ay tinuturuan sa pamamagitan ng Fourier analysis na nagkaroon ng pansin sa impluwensiya ng binata. Fourier ay naging isang buhay na kaibigan ng Navier pati na rin ang kanyang guro, at siya ay kinuha ng isang aktibong interes sa Navier ng karera mula sa panahon na sa.