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Mathematics taught in chemical engineering. What material should be covered?

Mathematics taught in chemical engineering. What material should be covered?. Benito Serrano, Juan José Mejía, Víctor Javier Cruz, Alfonso Talavera, Jesús Moreira. UNIVERSIDAD AUTONOMA DE ZACATECAS, MEXICO. Survey about the contents. To pass the self seminars.

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Mathematics taught in chemical engineering. What material should be covered?

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  1. Mathematics taught in chemical engineering. What material should be covered? Benito Serrano, Juan José Mejía, Víctor Javier Cruz, Alfonso Talavera, Jesús Moreira. UNIVERSIDAD AUTONOMA DE ZACATECAS, MEXICO

  2. Survey about the contents. To pass the self seminars. To solve ¨complicated problems¨ Is this a risky task? A survey was performed. Several universities of Mexico Several universities of USA One university in Canada. The AICHE-2008-Philadelphia PA

  3. Common courses and topics. Differential and integral calculus, with one or several variables, Linear algebra Vectorial calculus Statistics and probability Differential equations of first, second and n-th order, linear, with constant coefficients, homogeneous and non homogeneous. The AICHE-2008-Philadelphia PA

  4. Differences among the programs Differential equations with variable coefficients, Series of powers Systems of differential equations of first order. Partial differential equations solved with the method of variable separations. This is a non definite frontier. The AICHE-2008-Philadelphia PA

  5. Structure of the Chem. Eng. Programs. Basic Area. Basic Professional Area. Professional Area. Complementary Area. The AICHE-2008-Philadelphia PA

  6. Focuses mathematical rigor Recipes. The collected documents did not show the focus. Math in Chem. Eng. Taught by Mathematicians?, Physics by Physicians? Is it correct to teach Math just as Formulas? The AICHE-2008-Philadelphia PA

  7. Math in Chem. Eng. A combination between the rigor and formulas. The basic professional and main nucleus of subjects dictate the level of math. Analytical capacity because good formation in mathematics. Math is the osseous skeleton of science. The AICHE-2008-Philadelphia PA

  8. Graduate Courses in Math. Matrices and eigen - values. Construction of mathematical models. Partial differential equations. Methods of discrete the equations. Numerical methods. Mathematical tools need for the thesis. The AICHE-2008-Philadelphia PA

  9. Graduate and Undergraduate Courses. The border is not clear and defined. Common courses: Ordinary diff. eqs. with variable coefficients, systems of equations, partial differential equations, etc. The AICHE-2008-Philadelphia PA

  10. Type of problems. Undergraduate: Convection + Chemical Reaction: Ordinary Differential Equations. Graduate: Diffusion + convection + chemical reaction: Partial differential equations. It is necessary to delimit the contents and focus of all the subjects in Chem. Eng. Certifying institutions request a number of courses and hours. Math provides a solid basis for graduate studies. The AICHE-2008-Philadelphia PA

  11. Special Undergraduate Course. For those undergraduate students interested in learning more about applied math. Special and optional course. Title: Applied Mathematics in Selected Topics. General Objective: To encourage the students to pursue graduated studies. The AICHE-2008-Philadelphia PA

  12. Contents of the Course. A model of laminar flow through a lubricated tube. Slow flow over a solid sphere. Transient flow inside a cylindrical tube. No stationary heat conduction in a bar. Potential flow on a cylindrical tube. Multiple steady states of chemical reactors. The AICHE-2008-Philadelphia PA

  13. Transient Flow Equations. Using the following dimensionless variables: The AICHE-2008-Philadelphia PA

  14. Transient Flow 1 Variable separation The AICHE-2008-Philadelphia PA

  15. Transient Flow Equations 2. The AICHE-2008-Philadelphia PA

  16. Transient Equations 3 The AICHE-2008-Philadelphia PA

  17. Results. The AICHE-2008-Philadelphia PA

  18. Conclusions. The undergraduate students in chemical engineering have a big potential, if they are motivated. Special course to interests students. Equilibrium between formulas and mathematical rigor. Border between undergraduate and graduate courses should be indicated by the objectives of the career. Dominion of mathematics prepare graduate students. The AICHE-2008-Philadelphia PA

  19. Thank you for your attention. The AICHE-2008-Philadelphia PA

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