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A collection of experiments, projects, and other activities exploring the many areas of science, from the earth and space sciences to computer technology and ESP.

• Preface Chapter 1: Basic STEM Concepts: Providing Different Avenues to Understanding Chapter 2: STEM Instruction
• Chapter 3: Science and Mathematics: The Power of Inquiry and Problem Solving Chapter 4: Engineering and Technology: Imaginatively Integrating STEM Subjects In the Classroom Chapter 5: STEM: Past, Present, and FUTURE Chapter 6: Evaluating STEM Learning: Informative Assessment, Lesson Plans and Activities.
• (source: Nielsen Book Data)

This book will help educators design STEM programs and lessons that foster teamwork and thinking while getting students actively involved in their own learning. There are many practical ideas and lesson plans that will help teachers reach both eager and reluctant learners. The suggestions for STEM curriculum and instruction are research based and standards driven. This book looks at collaborative learning, differentiation, and diversity all the while building instruction in the STEM subjects and good hands-on materials. This is done in a way that is designed to help every student feel successful and part of the class as a whole. It shows a deep respect for the unique relationship between teachers and their students as they try to navigate their way into the future. Suggestions are designed to help learners question, analyze, interpret, problem solve, and discover. The STEM subjects of science, technology, engineering, and math are essential to understanding the world of today and the world of tomorrow. The authors view is that it takes more than innovation alone; for innovation to be useful, products of the imagination must be arranged in ways that allow them to be used to solve real world problems.
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• Preface
• Chapter 1 Introduction
• Chapter 2 Thinking and Learning: STEM in a technologically-intensive world
• Chapter 3 Collaborative Learning: A Role for Small Groups in preparing tomorrow's Innovators
• Chapter 4 Communication Technologies
• Chapter 5 Science and Mathematics: The Power of Inquiry and Problem Solving
• Chapter 6 Language and Literacy: Communication Skills in a Digital Age
• Chapter 7 Arts Education: Connections, Knowledge, and Informed Encounters.
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In this book, the authors integrate STEM (i.e., science, technology, engineering, and mathematics) concepts and the cultivation of young minds in order to be open to innovation. This book uses STEM instruction as blurring the lines among basic subject areas. Often, it's more than integrating science, mathematics, engineering, and technology. Ideas, activities, and projects can be integrated with lessons from the language arts to the Arts as well. In this book, STEM is treated as more of a philosophy than a program or a set of activities.
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• Basic Equations of Macroscopic Systems. Introduction to Numerical Methods. Steady-state Systems. Dissipative Systems. Nondissipative Systems. High-order, Nonlinear, and Coupled Systems. Appendix: Summary of Vector and Tensor Analysis. Index.
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A unified approach to numerical modelling which integrates aspects of continuum mechanics, differential equations, and numerical analysis, is presented in this book. The text is an explanation how to formulate a mathematical description of the phenomena under consideration, devise techniques for solving the governing equations, then refine the model and interpret the results. Emphasis is put on physical applications, and the three major classes of partial differential equations - elliptic, parabolic and hyperbolic - are related to steady-state systems, dissipative systems, and nondissipative systems, respectively. Some higher-order equations, nonlinear equations, and coupled systems of equations are also examined.
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Never has humble paper had such radical ambitions. Defying every expectation of what a book can be, this pop-up extravaganza transforms into sixfully functional tools: a real working planetarium projecting the constellations, a musical instrument complete with strings for strumming, a geometric drawing generator, an infinite calendar, a message decoder, and even a speaker that amplifies sound. Artist Kelli Anderson contributes enlightening text alongside each pop-up, explaining the scientific principles at play in her constructions and creating an interactive experience that's as educational as it is extraordinary. Inspiring awe that lasts long after the initial pop, This Book Is a Planetarium leaves readers of all ages with a renewed appreciation for the way things work-and for the enduring magic of books.
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• Part 1 Introduction to Programming Using MATLAB
• Introduction to MATLAB
• Vectors and matrices
• Introduction to MATLAB programming
• Selection statements
• Loop statements and vectorizing code
• MATLAB programs
• String manipulation
• Data structures
• Part 2 Advanced Topics for Problem Solving With MATLAB
• Advanced file input and output
• Advanced functions
• Introduction to object-oriented programming and graphics
• Advanced plotting techniques
• Sights and sounds
• Advanced mathematics.

MATLAB has become the standard software tool for solving scientific and engineering problems due to its powerful built-in functions and its ability to program. Assuming no knowledge of programming, this book guides the reader through both programming and built-in functions to easily exploit MATLAB's extensive capabilities for tackling engineering problems. The book starts with programming concepts, such as variables, assignments, and selection statements, moves on to loops, and then solves problems using both the programming concept and the power of MATLAB. In-depth coverage is given to input/output, a topic fundamental to many engineering applications. The third edition of MATLAB: A Practical Introduction to Programming and Problem Solving has been updated to reflect the functionality of the current version of MATLAB. It features new and revised end-of-chapter exercises, stronger coverage of loops and vectorizing, and more engineering applications to help the reader learn this software tool in context. -- Provided by publisher.

• 1. What is STEM?
• 2. Curriculum design for STEM
• 3. Teaching science in the light of STEM
• 4. Teaching D&T in the light of STEM
• 5. Teaching mathematics in the light of STEM
• 6. Using PBL as a vehicle for STEM
• 7. Enabling the E in STEM
• 8. The role of STEM events and activities
• 9. Managing STEM - Looking Sideways
• 10. Sustaining STEM.
• (source: Nielsen Book Data)

The skills, knowledge and understanding of the subjects involved in STEM (Science, Technology, Engineering and Mathematics) are vital for all young people in an increasingly science- and technology-driven society. This book looks at the purpose and pedagogy of STEM teaching and explores the ways in which STEM subjects can interact in the curriculum to enhance student understanding, achievement and motivation. By reaching outside their own classroom, teachers can collaborate across subjects to enrich learning and help students relate school science, technology and maths to the wider world. Packed with ideas and practical details for teachers of STEM subjects, this book: * considers what the STEM subjects contribute separately to the curriculum and how they relate to each other in the wider education of secondary school students * describes and evaluates different curriculum models for STEM * suggests ways in which a critical approach to the pedagogy of the classroom, laboratory and workshop can support STEM for all students * addresses the practicalities of introducing, organising and sustaining STEM-related activities in the secondary school * looks to ways schools can manage and sustain STEM approaches in the long-term. This timely new text is essential reading for trainee and practising teachers who wish to make the learning of Science, Technology, Engineering and Mathematics an interesting, motivating and exciting experience for their students.
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• The Iterative Modeling Process and Inverse Problems
• Statistical Hypothesis Testing in Inverse Problems
• Mass Balance and Mass Transport
• Heat Conduction
• Force/Moments Balance (Structural Modeling)
• Wave Equations
• Size-Structured Population Models
• Appendices: An Introduction to Fourier Techniques, Fourier Series, Fourier Transforms, Review of Vector Calculus.
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Through several case study problems from industrial and scientific research laboratory applications, "Mathematical and Experimental Modeling of Physical and Biological Processes" provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model. Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics.
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• INTRODUCTIONConservation Laws and Auxiliary RelationsProperties and Categories of BalancesThree Physical ConfigurationsTypes of ODE and AE Mass BalanceInformation Obtained from Model SolutionsTHE SETTING UP OF BALANCESMORE ABOUT MASS, ENERGY AND MOMENTUM BALANCESThe Terms in Various BalancesMass BalancesEnergy BalancesForce and Momentum BalancesCombined Mass and Energy BalancesCombined Mass, Energy and Momentum BalancesORDINARY DIFFERENTIAL EQUATIONSDefinitions and ClassificationsBoundary and Initial ConditionsAnalytical Solutions of ODEsNumerical MethodsNon-Linear AnalysisTHE LAPLACE TRANSFORMATIONGeneral Properties of the Laplace TransformApplication to Differential EquationsBlock Diagrams: A Simple Control SystemOverall Transfer Function
• Stability Criterion
• Laplace Domain AnalysisSPECIAL TOPICSBiomedical Engineering, Biology and BiotechnologyA Visit to the EnvironmentWelcome to the Real WorldPARTIAL DIFFERENTIAL EQUATIONS: CLASSIFICATION, TYPES, AND PROPERTIES
• SOME SIMPLE TRANSFORMATIONS AND SOLUTIONSProperties and Classes of PDEsPDEs of Major ImportanceUseful Simplifications and TransformationsPDE's PDQ: Locating Solutions in Related Disciplines
• Solution by Simple Superposition MethodsVECTOR CALCULUS: GENERALIZED TRANSPORT EQUATIONSVector Notation and Vector CalculusTransport of MassTransport of EnergyTransport of MomentumSOLUTION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONSSeparation of VariablesLaplace Transformation and Other Integral TransformsThe Method of Characteristics.
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• INTRODUCTION Prelude Philosophical Motivation Reference States Engineering Materials and Matter Continuous , Discontinuous or Mixture Transformation and Self Adjustment Disturbed Sate Concept Disturbance and Damage Models DSC and Other Models Scope THE DISTURBED STATE CONCEPT: Preliminaries Introduction Engineering Behavior Mechanism Fully Adjusted State Characteristic Dimension Observed Behavior Formulation of DSC Alternative Formulations of DSC Material Element Composed of Two Materials DSC-Multi -Component System DSC For Porous Media Composite Materials Bonded Materials Self Organized Criticality RELATIVE INTACT AND FULLY ADJUSTED STATES AND DISTURBANCE Specializations Disturbance and Function Laboratory Tests Stiffening or Healing Representations of Disturbance Creep Behavior Rate Dependence Disturbance Based on Disorder (Entropy) and Free Energy Material Parameters DSC EQUATIONS AND SPECIALIZATIONS Relative Intact Response Fully Adjusted Response Specializations Thermal Effects Disturbance Models DSC With and Without Relative Motions Critical State for FA Response DSC Euqations with Critical State Strain Equations General Formulation Examples 1 to 4 THEORY OF ELASTICITY IN DSC Linear Elasticity Nonlinear Elasticity Relative Intact Behavior Fully Adjusted Behavior Disturbance Function Material Parameters Thermal Effects Examples 1 to 8 THEORY OF PLASTICITY IN DSC Mechanisms Theoretical Development Continuous Yielding or Hardening To Hierarchical Single Surface Models Incremental Equations Parameters and Determination from Laboratory Tests Thermoplasticity Examples 1 to 7 HIERARCHICAL SINGLE SURFACE PLASTICITY MODELS IN DSC Basic HISS Model Specializations of HISS Model Material Parameters Thermal Effects Rate Effects Repetitive Loading Derivation of Elastoplastic Equations Incremental Iterative Analysis Correction Procedures Thermoplasticity Examples including Validations 1 to 16 Sensitivity Analysis CREEP BEHAVIOR: VISCOELASTIC AND VISCOPLASTIC MODELS Elastoviscoplastic Model (Perzyna) Mechanism of Viscoplastic Solution Elastoviscoplastic Equations One-Dimensional Formulation of Perzyna's Model Disturbance Function Finite Element Equations Rate Dependent Behavior Parameters for Viscoplastic Model Temperature Dependence Multi-component DSC and Overlay Models Specializations: Elastic(e), Viscoelastic(ve), Elastoviscoplastic(evp), Material Parameters in Overlay Models Examples 1 to 9 DSC FOR SATURATED AND UNSATURATED MATERIALS Brief Review Fully Saturated Materials Equations Terzaghi's Equation Incremental DSC Equations Disturbance Effective Stress Parameter Residual Flow Concept HISS and DSC Models Softening, Degradation and Collapse Material Parameters Examples 1 to 3 DSC FOR STRUCTURED AND STIFFENED MATERIALS Definition of Disturbance Structured Soils Dislocation, Softening and Stiffening Reinforced and Jointed Systems Equivalent Composite Individual Solid and Joint Elements Rest Periods: Unloading Examples 1 to 3 DSC FOR INTERFACES AND JOINTS General Problem Review Thin Layer Interface Model Disturbed State Concept Disturbance Function Incremental Equations Determination of Parameters Mathematical and Physical Characteristics of DSC Testing Examples 1 to 11 Computer Implementation MICROSTRUCTURE, LOCALIZATION AND INSTABILITY Microstructure Wellposedness Localization Nonlocality and Characteristic Dimension Regularization and Nonlocal Models Rate Dependent Models Continuum Damage Model Nonlocal Continuum Strain and Energy Based Models Gradient Enrichment of Continuum Models Cosserat Continuum Stability Disturbed State Concept: Nonlocality, Micro-crack Interaction, Characteristic Mesh Dependence Instability Approximate Decoupled DSC Stability Analysis of DSC Examples 1 to 4 Appndix 12-1: Thermodynamical Analysis of DSC IMPLEMENTATION OF DSC IN COMPUTER PROCEDURES Finite Element Formulation Solution Schemes Algorithms for Creep Behavior Algorithms for Coupled Dynamic Behavior Partially Saturated Systems Cyclic and Repetitive Loading Initial Conditions Hierarchical Capabilities and Options Mesh Adaption Using DSC Examples of Applications: Field and Laboratory Simulated Tests 1 to 12 CONCLUSIONS AND FUTURE TRENDS
• APPENDIX I : DISTURBED STATE, CRITICAL STATE AND SELF ORGANIZED CRITICALITY CONCEPTS
• APPENDIX II : DSC PARAMETERS, OPTIMIZATION AND SENSITIVITY.
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Modeling is practiced in engineering and all physical sciences. Many specialized texts exist - written at a high level - that cover this subject. However, students and even professionals often experience difficulties in setting up and solving even the simplest of models. This can be attributed to three difficulties: the proper choice of model, the absence of precise solutions, and the necessity to make suitable simplifying assumptions and approximations. Overcoming these difficulties is the focus of The Art of Modeling in Science and Engineering.The text is designed for advanced undergraduate and graduate students and practicing professionals in the sciences and engineering with an interest in Modeling based on Mass, Energy and Momentum or Force Balances. The book covers a wide range of physical processes and phenomena drawn from chemical, mechanical, civil, environmental sciences and bio- sciences. A separate section is devoted to "real World" industrial problems. The author explains how to choose the simplest model, obtain an appropriate solution to the problem and make simplifying assumptions/approximations.
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The disturbed state concept (DSC) is a unified, constitutive modelling approach for engineering materials that allows for elastic, plastic, and creep strains, microcracking and fracturing, stiffening or healing, all within a single, hierarchical framework. Its capabilities go well beyond other available material models yet lead to significant simplifications for practical applications. Until now, however, there has been no resource that fully describes the theory, techniques, and potential of this powerful method. "Mechanics of Materials and Interfaces: Disturbed State Concept" presents a detailed theoretical treatment of the DSC and shows that it can provide a unified and simplified approach for mathematical characterization of the mechanical response of materials and interfaces.Within this comprehensive treatment, the author compares the DSC with other available models. This book identifies the physical meaning of the relevant parameters and presents procedures to determine them from laboratory test data. It validates the DSC models with respect to laboratory tests used to find the parameters and independent tests not used in the calibration. It implements the models in computer procedures. It validates those procedures by comparing predictions with observations from simulated and field boundary value problems. It solves problems from a variety of disciplines, including civil, mechanical, and electrical engineering. If you are involved in the mechanics of materials, you owe it to yourself to explore the disturbed state concept. "Mechanics of Materials and Interfaces" provides the first - and to date, the only - comprehensive means of doing so.
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• A First Look at Modeling The Physical Laws The Rate of the Variables: Dependent and Independent Variables The Role of Balance Space: Differential and Integral Balances The Role of Time: Unsteady State and Steady State Balances Information Derived from Model Solutions Choosing a Model Kick-Starting the Modeling Process Solution Analysis Practice Problems Analytical Tools: The Solution of Ordinary Differential Equations Definitions and Classifications Boundary and Initial Conditions Analytical Solutions of ODEs Nonlinear Analysis Laplace Transformation Practice Problems The Use of Mathematica in Modeling Physical Systems Handling Algebraic Expressions Algebraic Equations Integration Ordinary Differential Equations Partial Differential Equations Practice Problems Elementary Applications of the Conservation Laws Application of Force Balances Applications of Mass Balance Simultaneous Applications of the Conservation Laws Practice Problems Partial Differential Equations: Classification, Types, and Properties
• Some Simple Transformations Properties and Classes of PDE PDEs of Major Importance Useful Simplifications and Transformations PDEs PDQ: Locating Solutions in the Literature Practice Problems Solution of Linear Systems by Superposition Methods Superposition by Addition of Simple Flows: Solutions in Search of a Problem Superposition by Multiplication: Product Solutions Solution of Source Problems: Superposition by Integration More Superposition by Integration: Duhamel's Integral and the Superposition of Danckwerts Practice Problems Vector Calculus: Generalized Transport Equations Vector Notation and Vector Calculus Superposition Revisited: Green's Functions and the Solution of PDEs by Green's Functions Transport of Mass Transport of Energy Transport of Momentum Practice Problems Analytical Solutions of Partial Differential Equations Separation of Variables Laplace Transformation and Other Integral Transforms The Method of Characteristics Practice Problems.
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This second edition incorporates the use of Mathematica[registered] in various applications. It also includes new examples on HIV, the rate of carbon dioxide emission to the atmosphere, the manufacture of silicon chips, and the dynamics of hot air balloons and rockets. It helps readers overcome three common difficulties: the proper choice of model, the absence of precise solutions, and the need to make suitable simplifying assumptions and approximations.
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A guide to designing and conducting experimental research including report writing.
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• Preface.- 1 Introduction to the Geometric Theory of ODEs with Applications to Chemical Processes, Dietrich Flockerzi.- 2 Mathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits, Timo Reis.- 3 Interacting with Networks of Mobile Agents, Magnus Egerstedt, Jean-Pierre de la Croix, Hiroaki Kawashima, and Peter Kingston.- 4 Combinatorial optimization: the interplay of graph theory, linear and integer programming illustrated on network flow, Annegret K. Wagler.- 5 Stoichiometric and Constraint-based Analysis of Biochemical Reaction Networks, Steffen Klamt, Oliver Hadicke and Axel von Kamp.- 6 A Petri Net based Framework for Biomodel Engineering, Mary Ann Blatke, Christian Rohr, Monika Heiner and Wolfgang Marwan.- 7 Hybrid Modeling for Systems Biology: Theory and Practice, Moritz von Stosch, Nuno Carinhas and Rui Oliveira.
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This edited volume provides insights into and tools for the modeling, analysis, optimization, and control of large-scale networks in the life sciences and in engineering. Large-scale systems are often the result of networked interactions between a large number of subsystems, and their analysis and control are becoming increasingly important. The chapters of this book present the basic concepts and theoretical foundations of network theory and discuss its applications in different scientific areas such as biochemical reactions, chemical production processes, systems biology, electrical circuits, and mobile agents. The aim is to identify common concepts, to understand the underlying mathematical ideas, and to inspire discussions across the borders of the various disciplines. The book originates from the interdisciplinary summer school "Large Scale Networks in Engineering and Life Sciences" hosted by the International Max Planck Research School Magdeburg, September 26-30, 2011, and will therefore be of interest to mathematicians, engineers, physicists, biologists, chemists, and anyone involved in the network sciences. In particular, due to their introductory nature the chapters can serve individually or as a whole as the basis of graduate courses and seminars, future summer schools, or as reference material for practitioners in the network sciences.
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