This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear and nonlinear analyses are presented using largely physical arguments. The homework and a term project (for graduate students) involve use of the general purpose finite element analysis program ADINA. Applications include finite element analyses, modeling of problems, and interpretation of numerical results.

This book was written for an experimental freshman course at the University of Colorado. The course is now an elective that the majority of our electrical and computer engineering students take in the second semester of their freshman year, just before their first circuits course. Our department decided to offer this course for several reasons:

we wanted to pique student' interest in engineering by acquainting them with engineering teachers early in their university careers and by providing with exposure to the types of problems that electrical and computer engineers are asked to solve;
we wanted students entering the electrical and computer engineering programs to be prepared in complex analysis, phasors, and linear algebra, topics that are of fundamental importance in our discipline;
we wanted students to have an introduction to a software application tool, such as MATLAB, to complete their preparation for practical and efficient computing in their subsequent courses and in their professional careers;
we wanted students to make early contact with advanced topics like vector graphics, filtering, and binary coding so that they would gain a more rounded picture of modern electrical and computer engineering.
In order to introduce this course, we had to sacrifice a second semester of Pascal programming. We concluded that the sacrifice was worth making because we found that most of our students were prepared for high-level language computing after just one semester of programming.

We believe engineering educators elsewhere are reaching similar conclusions about their own students and curriculums. We hope this book helps create a much needed dialogue about curriculum revision and that it leads to the development of similar introductory courses that encourage students to enter and practice our craft.Students electing to take this course have completed one semester of calculus, computer programming, chemistry, and humanities.

Concurrently with this course, students take physics and a second semester of calculus, as well as a second semester in the humanities. By omitting the advanced topics marked by asterisks, we are able to cover Complex Numbers through Linear Algebra, plus two of the three remaining chapters. The book is organized so that the instructor can select any two of the three. If every chapter of this book is covered, including the advanced topics, then enough material exists for a two-semester course.

The first three chapters of this book provide a fairly complete coverage of complex numbers, the functions e^x and e^jand phasors. Our department philosophy is that these topics must be understood if a student is to succeed in electrical and computer engineering. These three chapters may also be used as a supplement to a circuits course. A measured pace of presentation, taking between sixteen and eighteen lectures, is sufficient to cover all but the advanced sections in Complex Numbers through Phasors.

The chapter on "linear algebra" is prerequisite for all subsequent chapters. We use eight to ten lectures to cover it. We devote twelve to sixteen lectures to cover topics from Vector Graphics through Binary Codes. (We assume a semester consisting of 42 lectures and three exams.) The chapter on vector graphics applies the linear algebra learned in the previous chapter to the problem of translating, scaling, and rotating images. "Filtering" introduces the student to basic ideas in averaging and filtering. The chapter on "Binary Codes" covers the rudiments of binary coding, including Huffman codes and Hamming codes.

If the users of this book find "Vector Graphics" through "Binary Codes" too confining, we encourage them to supplement the essential material in "Complex Numbers" through "Linear Algebra" with their own course notes on additional topics. Within electrical and computer engineering there are endless possibilities. Practically any set of topics that can be taught with conviction and enthusiasm will whet the student's appetite. We encourage you to write to us or to our editor, Tom Robbins, about your ideas for additional topics. We would like to think that our book and its subsequent editions will have an open architecture that enables us to accommodate a wide range of student and faculty interests.

Throughout this book we have used MATLAB programs to illustrate key ideas. MATLAB is an interactive, matrix-oriented language that is ideally suited to circuit analysis, linear systems, control theory, communications, linear algebra, and numerical analysis. MATLAB is rapidly becoming a standard software tool in universities and engineering companies. (For more information about MATLAB, return the attached card in the back of this book to The MathWorks, Inc.) MATLAB programs are designed to develop the student's ability to solve meaningful problems, compute, and plot in a high-level applications language. Our students get started in MATLAB by working through “An Introduction to MATLAB,” while seated at an IBM PC (or look-alike) or an Apple Macintosh. We also have them run through the demonstration programs in "Complex Numbers". Each week we give three classroom lectures and conduct a one-hour computer lab session. Students use this lab session to hone MATLAB skills, to write programs, or to conduct the numerical experiments that are given at the end of each chapter. We require that these experiments be carried out and then reported in a short lab report that contains (i) introduction, (ii) analytical computations, (iii) computer code, (iv) experimental results, and (v) conclusions. The quality of the numerical results and the computer graphics astonishes students. Solutions to the chapter problems are available from the publisher for instructors who adopt this text for classroom use.

We wish to acknowledge our late colleague Richard Roberts, who encouraged us to publish this book, and Michael Lightner and Ruth Ravenel, who taught "Linear Algebra" and "Vector Graphics" and offered helpful suggestions on the manuscript. We thank C. T. Mullis for allowing us to use his notes on binary codes to guide our writing of "Binary Codes". We thank Cédric Demeure and Peter Massey for their contributions to the writing of "An Introduction to MATLAB" and "The Edix Editor". We thank Tom Robbins, our editor at Addison-Wesley, for his encouragement, patience, and many suggestions. We are especially grateful to Julie Fredlund, who composed this text through many drafts and improved it in many ways. We thank her for preparing an excellent manuscript for production.

The first term in a Fourier series is the average value (DC value) of the function being approximated. Created by Sal Khan.

This class provides students with an introduction to principal concepts and methods of fluid mechanics. Topics covered in the course include pressure, hydrostatics, and buoyancy; open systems and control volume analysis; mass conservation and momentum conservation for moving fluids; viscous fluid flows, flow through pipes; dimensional analysis; boundary layers, and lift and drag on objects. Students will work to formulate the models necessary to study, analyze, and design fluid systems through the application of these concepts, and to develop the problem-solving skills essential to good engineering practice of fluid mechanics in practical applications.

Fluid Mechanics problems for the WeBWorK open online homework system. Includes problems from second-year level.

The "tested" problems have been deployed in a class. The "untested" problems have been tested by the creators, but not yet deployed in a class.

These problems need to be uploaded into an instance of WeBWorK to use/assign them.

The formation of images by plane and spherical mirrors will be studied by examining paintings done by several masters which include images formed in mirrors.

Sustainability denotes one of the main future challenges of societies and the global community. Issues of sustainability range from energy and natural resources to biodiversity loss and global climate change. Properly dealing with these issues will be crucial to future societal and economic development. This course provides the theoretical background for the discussion and analysis of sustainability issues. Students will recognize specific sustainability issues, such as sustainable energy, as part of a more complex challenge of developing sustainable societies and systems, and against the background of the general meaning and implications of the conception of sustainability.

Short Description:
The goal of this textbook is to introduce you to the foundational topics of chemical engineering. This textbook will give you a good basic understanding of a number of chemical engineering concepts, which you can take with you as you progress in your engineering degree and career.

Long Description:
The goal of this textbook is to introduce you to the foundational topics of chemical engineering. This textbook will give you a good basic understanding of a number of chemical engineering concepts, which you can take with you as you progress in your engineering degree and career. This book covers the basics of process diagrams, reaction chemistry, phase equilibrium, energy balances, unsteady-state operations, process control, process economics and safety, and green engineering. The book provides basic conceptual information on each topic and allows the readers to test their understanding of each topic through practice examples and exercises. The book pinpoints important concepts and terms for the readers to take note of and even includes a set of flashcards at the end of each chapter, which readers can use to test their general understanding and grasp of the topic. The appendices in the book’s back matter provide readers with additional resources for solving problems and accessing data and information.

Word Count: 63924

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

The Fourier Series allows us to model any arbitrary periodic signal with a combination of sines and cosines. In this video sequence Sal works out the Fourier Series of a square wave. Created by Sal Khan.

This class provides an introduction to quantitative models and qualitative frameworks for studying complex engineering systems. Also taught is the art of abstracting a complex system into a model for purposes of analysis and design while dealing with complexity, emergent behavior, stochasticity, non-linearities and the requirements of many stakeholders with divergent objectives. The successful completion of the class requires a semester-long class project that deals with critical contemporary issues which require an integrative, interdisciplinary approach using the above models and frameworks.

Are you interested in investigating how nature engineers itself? How engineers copy the shapes found in nature ("biomimetics")? This Freshman Seminar investigates why similar shapes occur in so many natural things and how physics changes the shape of nature. Why are things in nature shaped the way they are? How do birds fly? Why do bird nests look the way they do? How do woodpeckers peck? Why can't trees grow taller than they are? Why is grass skinny and hollow? What is the wood science behind musical instruments? Questions such as these are the subject of biomimetic research and they have been the focus of investigation in this course for the past three years.

Prologue: All too often current “CAD” text books concentrate too much on the software and not enough on the basic fundamental principles that are required to create a working industrial drawing. More and more college freshman enter the post-secondary arena knowing one or more cad software packages. A skilled instructor can rapidly get a group of students up to speed on whatever software package that is being used at that institution. However, over the last 25 years it has been my experience that many students only know the software…and not what to do with it. Now, this is not the fault of the technology education teachers in the secondary school system. They are most likely trained with a Charles Prosser philosophy that students leave high school with a set of skills grounded in meeting the needs of industry. However, since very few technology education teachers have actually spent any time in industry as a draftsman, designers, or engineers…the product they produce only knows “some” of what is required to be successful in the post-secondary arena. Make no mistake, this is not something done intentionally…it is simply the way “the American Education System” works. This document and the material contained within is being created to assist in both secondary and post-secondary educators who lack either the educational component of how to facilitate the required material…or more importantly, what that required material is.

This course covers fundamentals of thermodynamics, chemistry, and transport applied to energy systems. Topics include analysis of energy conversion and storage in thermal, mechanical, chemical, and electrochemical processes in power and transportation systems, with emphasis on efficiency, performance, and environmental impact. Applications include fuel reforming and alternative fuels, hydrogen, fuel cells and batteries, combustion, catalysis, combined and hybrid power cycles using fossil, nuclear and renewable resources.

This course covers fundamentals of thermodynamics, chemistry, and transport applied to energy systems. Topics include analysis of energy conversion and storage in thermal, mechanical, chemical, and electrochemical processes in power and transportation systems, with emphasis on efficiency, performance, and environmental impact. Applications include fuel reforming and alternative fuels, hydrogen, fuel cells and batteries, combustion, catalysis, combined and hybrid power cycles using fossil, nuclear and renewable resources.

Word Count: 33116

ISBN: 978-1-62307-008-3

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

This design-based subject provides a first course in energy and thermo-sciences with applications to sustainable energy-efficient architecture and building technology. No previous experience with subject matter is assumed. After taking this subject, students will understand introductory thermodynamics and heat transfer, know the leading order factors in building energy use, and have creatively employed their understanding of energy fundamentals and knowledge of building energy use in innovative building design projects. This year, the focus will be on design projects that will complement the new NSTAR/MIT campus efficiency program.

This course focuses on the fundamentals of structure, energetics, and bonding that underpin materials science. It is the introductory lecture class for sophomore students in Materials Science and Engineering, taken with 3.014 and 3.016 to create a unified introduction to the subject. Topics include: an introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to atomistic and molecular models of materials; the role of electronic bonding in determining the energy, structure, and stability of materials; quantum mechanical descriptions of interacting electrons and atoms; materials phenomena, such as heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism; symmetry properties of molecules and solids; structure of complex, disordered, and amorphous materials; tensors and constraints on physical properties imposed by symmetry; and determination of structure through diffraction. Real-world applications include engineered alloys, electronic and magnetic materials, ionic and network solids, polymers, and biomaterials.
This course is a core subject in MIT's undergraduate Energy Studies Minor. This Institute-wide program complements the deep expertise obtained in any major with a broad understanding of the interlinked realms of science, technology, and social sciences as they relate to energy and associated environmental challenges.