Memorias del Séptimo Foro de la Enseñanza de las Matemáticas

En el Séptimo Foro de Enseñanza de las Matemática Ibero 2017 se abordaron temas relacionados con el uso de la historia de las matemáticas en el aula, las transformaciones en las habilidades, destrezas y conocimientos en los alumnos universitarios en la primera década del 2000, el uso de plataformas digitales en la enseñanza de las matemáticas; se expuso sobre situaciones problema en la vida cotidiana relacionados con las matemáticas escolares y la modelación matemática, sobre la historia de la enseñanza de las matermáticas, entre otros temas.ITESO, A.C.Universidad Iberoamericana, Campus Santa F

Gravitational Contribution to the Heat Flux in a Simple Dilute Fluid: An Approach Based on General Relativistic Kinetic Theory to First Order in the Gradients

Richard C. Tolman analyzed the relation between a temperature gradient and a gravitational field in an equilibrium situation. In 2012, Tolman’s law was generalized to a non-equilibrium situation for a simple dilute relativistic fluid. The result in that scenario, obtained by introducing the gravitational force through the molecular acceleration, couples the heat flux with the metric coefficients and the gradients of the state variables. In the present paper it is shown, by explicitly describing the single particle orbits as geodesics in Boltzmann’s equation, that a gravitational field drives a heat flux in this type of system. The calculation is devoted solely to the gravitational field contribution to this heat flux in which a Newtonian limit to the Schwarzschild metric is assumed. The corresponding transport coefficient, which is obtained within a relaxation approximation, corresponds to the dilute fluid in a weak gravitational field. The effect is negligible in the non-relativistic regime, as evidenced by the direct evaluation of the corresponding limit

An Economic Model for OECD Economies with Truncated M-Derivatives: Exact Solutions and Simulations

This article proposes two conformal Solow models (with and without migration), accompanied by simulations for six Organisation for Economic Co-operation and Development economies. The models are proposed by employing suitable Inada conditions on the Cobb–Douglas function and making use of the truncated M-derivative for the Mittag–Leffler function. In the exact solutions derived in this manuscript, two new parameters play an important role in the convergence towards, or the divergence from, the steady state of capital and per capita product. The economical dynamics of these nations are influenced by the intensity of the capital and labor factors, as well as the level of depreciation, the labor force rate and the level of saving