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For a public servant whose physical mission has been private house “build break in • Table of contents : • Pre-Service Teachers' Developing Conceptions about the Nature and Pedagogy of MathematicalModeling in the Context of a MathematicalModeling Course ERIC Educational Resources Information Center Cetinkaya, Bulent; Kertil, Mahmut; Erbas, Ayhan Kursat; Korkmaz, Himmet; Alacaci, Cengiz; Cakiroglu, Erdinc 2016-01-01 Adopting a multitiered design-based research perspective, this study examines pre-service secondary mathematics teachers' developing conceptions about (a) the nature of mathematicalmodeling in simulations of "real life" problem solving, and (b) pedagogical principles and strategies needed to teach mathematics through modeling. Unlike… Teaching MathematicalModelling for Earth Sciences via Case Studies NASA Astrophysics Data System (ADS) Yang, Xin-She 2010-05-01 Mathematicalmodelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematicalmodelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this
Spatial Dynamics and Pattern Formation in Biological Populations [1 ed.] 0367555506, 9780367555504
Cover
Half Title
Title Page
Copyright Page
Table of Contents
Foreword
Preface
About Authors
1 Introduction to Diffusive Processes
1.1 Introduction
1.2 Diffusion, Convection, Advection and Dispersion Processes
1.3 Some Basic Laws of Diffusion
1.3.1 Fick’s Laws of Diffusion
1.3.2 Darcy’s Law
1.4 Diffusion Equation
1.4.1 Linear Diffusion Equation in One Dimension
1.4.1.1 Time-Dependent/Concentration-Dependent Diffusion Coefficient Problems
1.4.2 Linear Diffusion Equation in Two and Three Dimensions
1.4.2.1 Two-Dimensional Diffusion on a Disk
1.4.2.2 Linear Diffusion Equation in Three Dimensions
1.4.2.3 Reaction–Diffusion Equations in Diffusion Processes
1.4.3 Diffusion in a Heterogeneous Environment
1.5 Stochastic Reaction–Diffusion (SRD) Systems
1.6 Hopf Bifurcation Analysis
1.7 Multiple-Scale Analysis/Weakly Nonlinear Analysis
1.7.1 Linear Stability Analysis of the Amplitude Equation
1.8 Overview of the Book
References
2 Reaction–Diffusion Modeling
2.1 Introduction
2.2 Reaction–Diffusion Equations
2.2.1 Derivation of Reaction-Diffusion Equation
2.3 Hyperbolic Reaction–Diffusion Equations
2.4 Single-Species Reaction–Diffusion Mo