![]() The course will further explore the enabling engineering technologies that are harnessed to recreate the structure and function of native tissue microenvironments. Topics covered will include synthetic biomaterials, calcium phosphates, engineered protein biomaterials, signal expression in engineered tissues, pluripotent stem cells, hematopoietic and mesenchymal stem cells, nanobiomaterials and nanotechnology strategies, and biomimetic approaches. Instructor Permission Required.ĭescription: This course will review the fundamental elements of the tissue engineering paradigm, that is biomaterials, biomolecules, and cells. Case studies from reaction engineering, thermodynamics, heat and mass transfer and fluid mechanics. Time-dependent PDEs: Method of lines, numerical stability. Boundary Value Problems: ODE and PDE boundary value problems, finite difference approximations, Dirichlet, Neumann and mixed boundary conditions, Poisson’s equation, coupled BVPs. Dynamical Systems: Equilibrium points and their stability, periodic solutions, limit cycles. Initial Value Problems: Euler’s methods (explicit and implicit) Higher-order Runge-Kutta methods Adaptive Runge-Kutta methods Systems of ordinary differential equations Numerical stability Stiff systems Multistep methods. Systems of nonlinear equations: Picard’s method. ![]() Curve fitting and least squares, nonlinear regression. Prerequisite(s): CHBE 301 and ( CHBE 302 or CHBE 303) and MATH 211ĭescription: Computer arithmetic, round-off and truncation errors, conditioning. ![]() Short Title: APPLIED MATH FOR CHEM ENGS II If registering for CHBE 302, you must register for CHBE 301.ĬHBE 305 - APPLIED MATHEMATICS AND NUMERICAL METHODS FOR CHEMICAL ENGINEERS II We will study all these aspects with applications in Chemical and Biomolecular Engineering. This requires gaining proficiency in (1) the programming language, an aspect that involves learning the grammar and the syntax of the language, and (2) computational thinking, an aspect that is independent of the programming language and is a skill that is broadly applicable to all problem solving and analysis. For the latter part, programming literacy is essential. In this course, we will learn both the analytical techniques and also complementary numerical methods. Machine calculations are indispensable for studying the mathematical models in realistic applications, while classical, ana- lytical techniques applied to simplified models serve to strengthen one’s intuition. MOLECULAR ENGINEERING THERMODYNAMICS PDF PROFESSIONALRestrictions: Enrollment is limited to Undergraduate, Undergraduate Professional or Visiting Undergraduate level students.ĭescription: This course and its second part in the Spring semester will cover mathematical concepts that are at the heart of mathematical modeling in Chemical Engineering. Short Title: APPLIED MATH FOR CHEM ENGS I Graduate research is possible in a number of areas, including catalysis and nanotechnology, thermodynamics and phase equilibria, interfacial phenomena, colloids, microemulsions, rheology and fluid mechanics, biosystems engineering, biocatalysis and metabolic engineering, cell population heterogeneity and biological pattern formation, cellular and tissue engineering, sustainability and energy, gas hydrates, enhanced oil recovery, reservoir characterization, and pollution control.ĬHBE 302 - APPLIED MATHEMATICS AND NUMERICAL METHODS FOR CHEMICAL ENGINEERS I Students admitted for graduate studies leading to the MS or PhD degrees must complete a rigorous program combining advanced coursework and original research that must be formalized in an approved thesis. Upon completing either the flexible BA requirements or the more scientific and professional BSChE requirements, students may apply for a fifth year of study leading to the non-thesis Master of Chemical Engineering (MChE) degree. Course electives may be used to create a focus area in one of the following five disciplines: biotechnology/bioengineering, environmental engineering, materials science/engineering, sustainability and energy engineering, and computational engineering. ![]() Courses in mathematics, chemistry, physics, and computational engineering provide the background for the chemical engineering core, which introduces students to chemical process fundamentals, fluid mechanics, heat and mass transfer, thermodynamics, kinetics, reactor design, process control, product and process design. ![]() MacKintosh Director of Graduate Studies Chemical and Biomolecular Engineering Department's programs provide undergraduates with a sound scientific and technical grounding for further development in a variety of professional environments. Chapman Director of Undergraduate Studies C. ![]()
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