Posts Tagged ‘system’

engineering mathematics – daily usage

From stress analysis of machine components (using finite element packages), to numerical descriptions of the artist-drawn shapes of new gadgets (using CAD packages), to the use of numbers associated with the mundane jobs of production, inspection, and statistical quality assurance(using statistical packages), to the economically critical planning problem of what material to buy in what amount from where (using optimization packages), and so on, applied mathematics is everywhere in the everyday world of software applications in routine engineering.

From calculations of heat and mass flow in steam power plants and car radiators, to calculations of air flow in cooling fans, to calculations of molten metal flowing and mixing in weld pools, applied mathematics turns the wheels of engineering analysis and design.From reliability in electrical power system grids to traffic in networks (both tar roads and optical fibres), mathematics crosses boundaries in a way no other technical subject can.

The applications mentioned above are the subjects of many books. Yet, they collectively fail to convey the excitement that engineering applications of mathematics can have. There is more to the story than a list of applications. some ways those more interesting are online tutoring. With Online math tutoring you’ll get math answers by submitting your math problems. some Precalculus help that we got from online tutoring is very useful. you can also get something like statistics help or even chemistry help. this is a fun and good way to learn engineering mathematics.

Reshaping the Curriculum

Through its accreditation process, the U.S. engineering education system has continually reexamined and re-energized the engineering curricula. Engineering fundamentals have been and will continue to be the core of the engineering curriculum. But because engineers now operate in a world where their accomplishments are often more limited by societal considerations than by technical capabilities, they are engaging in a wider range of activities throughout their professional lives. Thus, engineering education must take into account the social, economic, and political contexts of engineering practice; help students develop teamwork and communication skills; and motivate them to acquire new knowledge and capabilities on their own. Because many modern engineering projects require a combination of several disciplines, students also need exposure to the integrative field of systems engineering.

In essence, an engineering education today aims to prepare an engineer to be successful in the changing workplace. It aims to equip students with technical knowledge and capabilities, flexibility and an understanding of the societal context of engineering.

Engineering schools should not seek to develop these contextual and process skills through separate courses, but by incorporating them into existing curricula and through non-classroom activities. Coursework should feature multidisciplinary, collaborative, active learning; and take into account students’ varied learning styles.

One factor that will promote development of students’ “process” skills is widespread use of multimedia, worldwide information networks. Using this resource, students can access new information and coursework, as well as interact with other students, researchers, practicing engineers in industry and government, and experts from around the world. These changes in the teaching and learning environment will make engineering education more attractive to both students and faculty, if faculty are given the opportunity to stay up-to-date.

Finally, all engineering colleges must address the issue of ethics. While ethics is a complex and difficult topic, engineering administrators and faculty must help students understand that throughout their careers they will encounter ethical issues which they will need to recognize and deal with rationally. Whether engineers are conducting engineering research, managing a company, or building bridges and office buildings, their decisions affect the lives and property of the greater community. Students must understand the importance of upholding that public trust.

While recognizing and encouraging diverse institutional missions and changing industry needs, colleges of engineering must re-examine their curricula and programs to ensure they prepare their students for the broadened world of engineering work. This process has begun among most engineering colleges and must be accelerated with the aim to incorporate:

  • team skills, including collaborative, active learning;
  • communication skills;
  • leadership;
  • a systems perspective;
  • an understanding and appreciation of the diversity of students, faculty, and staff;
  • an appreciation of different cultures and business practices, and the understanding that the practice of engineering is now global;
  • integration of knowledge throughout the curriculum;
  • a multi-disciplinary perspective;
  • a commitment to quality, timeliness and continuous improvement;
  • undergraduate research and engineering work experience;
  • understanding of the societal, economic and environmental impacts of engineering decisions;
  • and ethics.

Re-Examining Faculty Rewards

In whatever way an engineering college defines its mission, to be successful, it must ensure that its faculty reward system supports its goals. Faculty members often face the difficult task of trying to balance the several activities they need for professional advancement, such as research and undergraduate teaching, with a host of new activities their colleagues, students and the public expect them to accomplish. These can include curricula development, interdisciplinary collaboration, work with industry, development of continuing education programs, community outreach, and mentoring of other faculty members and students. As engineering colleges develop institutional missions, they have an opportunity to recraft their faculty reward system to better synchronize faculty rewards with their new, or re-affirmed, institutional expectations.

Changing the faculty reward system will not be an easy task. Faculty rewards are heavily driven by incentives created across the entire university and are part of a nationwide network. Nevertheless, it is important that rewards reflect the goals of the institution and it is important to begin the conversation now. As each institution establishes its vision and charts new directions, it should ensure that its faculty reward system supports the institutional goals.

Studies of Engineering Education

Given the national importance of engineering education and the major changes taking place in higher education and society, it is no surprise that in recent years engineering education has stimulated a variety of thoughtful reports. For example, in the late 1980s ASEE published the major study, “Quality of Engineering Education,” and the ASEE Engineering Deans Council produced specific reports on the supply of engineering faculty and students.

In 1991, the National Academies’ National Research Council (NRC) created a Board on Engineering Education, which has conducted a wide-ranging study of the future of engineering education. The Board’s work has included a series of hearings throughout the country and has had a valuable influence on this project.

Those studying engineering education have proposed many ways to make engineering programs more relevant and cost-effective for all students, as well as more attractive to historically underrepresented groups. Their recommendations have created an environment for change and experimentation.

The Action Plan

The aim of this project is to evaluate recommendations of previous studies, combine them with the recommendations of the workshop conducted as part of the present study, and then develop key action items based on a series of policy statements. Because certain key changes in engineering education will be most effective if implemented with the aid of all sectors of the community, this project focuses on action items that require partnerships. Some of the action items are short-term, others longer-term; none is necessarily easy to accomplish. Over the next few years, this project will further refine the action items, assess the accomplishments of engineering colleges toward those goals, and establish a series of milestones for measuring future progress within the engineering education community.

In today’s world and in the future, engineering education programs must not only teach the fundamentals of engineering theory, experimentation and practice, but be RELEVANT, ATTRACTIVE and CONNECTED:

RELEVANT to the lives and careers of students, preparing them for a broad range of careers, as well as for lifelong learning involving both formal programs and hands-on experience;

ATTRACTIVE so that the excitement and intellectual content of engineering will attract highly talented students with a wider variety of backgrounds and career interests, particularly women, underrepresented minorities and the disabled, and will empower them to succeed; and

CONNECTED to the needs and issues of the broader community through integrated activities with other parts of the educational system, industry and government.

Engineering colleges’ ability to make their programs both relevant and attractive will depend, to a large extent, on how well they connect their programs to all community sectors, that is, on how well they build partnerships.

Focusing On Partnerships

While engineering deans are principally responsible for leading engineering education, they work in partnership with their faculties, presidents, senior university administrators, and often, with industry representatives. Such partnerships must also extend to elementary and secondary schools, the broader university, the local community, government and other engineering colleges, and build even closer ties to industry. These sectors make up the broad constituency of engineering education. Collaboration with these groups ensures the vitality and relevance of engineering programs, and enables the sharing of resources in a fiscally-constrained era. Ultimately, engineering colleges ,like their successful counterparts in industry ,must be part of a seamless system that links all of their constituents in education, industry, and the broad public community.

Science and Engineering

One of the first distinctions that must be made is between science and engineering. It is not a simple distinction because the two are so interdependent and intertwined, but whatever difference there is needs to be considered.

Science is the study of “natural” phenomena. It is the collection of theories, models, laws, and facts about the physical world and the methods used to create this collection. Physics, chemistry, biology, geology, etc. try to understand, describe, and explain the physical world that would exist even if there were no humans. It is creative in building theories, models, and explanations, but not in creating the phenomena that it studies. Science has its own philosophy with an epistemology, esthetics, and logic. It has its own technology in order to carry out its investigations, build its tools, and pursue its goals. Science has its organizations, culture, and methods of inquiry. It has its “scientific method” which has served as a model (for better or for worse) in many other disciplines.

Science is old. It was part of the original makeup of a university or college in the form of natural philosophy. It came out of antiquity, developed in the middle ages, blossomed in the renaissance, was the tool of the enlightenment, and came into its present maturity in modernity. Indeed, the history of science is, in some ways, a history of intellectual development. This is certainly only true in conjunction with many other strains of philosophical, economical, theological, and technological development, but science is a central player in that story. Science is often paired with the arts (and Humanities and Social Sciences) in the “College of Arts and Science” of a traditional university.

Engineering is the creation, maintenance, and development of things that have not existed in the natural world and that satisfy some human desire or need. A television set does not grow on a tree. It is the creation of human ingenuity that first fulfilled a fantasy of a human need and then went on to change the very society that created it. I use the term “things” because one should include computer programs, organizational paradigms, and mathematical algorithms in addition to cars, radios, plastics, and bridges.

Science is the study of what is and engineering is the creation of can be. Only recently has engineering developed the set of characteristics that make it a legitimate academic discipline. Earlier, engineering often was viewed only as the application of natural science. Now, engineering has developed its own engineering science for the study of human made things to supplement natural science which was developed to study natural phenomena. Parts of computer science are wonderful examples of that. Engineering has its own philosophy and methodology and its own economics. It even has its own National Academy.

We differentiate science and engineering, not because their difference is great, but because, in many ways, it is small. Science could not progress without technology, and engineering certainly could not flourish without science and mathematics.

A more illuminating comparison might be between the humanities and engineering. One might find more similarity in style (not content) between English literature and engineering than between science and engineering. Both literature and engineering are the study of human created artifacts. Both teach creation in the form of creative writing and engineering design. Both teach analysis in the form of literary criticism and engineering analysis. Both are intimately connected with the needs and desires of individuals and society. A similar analogy could be made between art and engineering looking at studio art, art criticism, and art history.

Most scientists (but not all) feel there is some unique objective truth behind the physical phenomena they are studying. Their goal is to find it and describe and explain it, and this truth is unique although the approaches and approximations to it are certainly not. In literature and engineering, the designed entity is not unique to the situation, but it is a creation of the particular writer or designer and perhaps unique to the creator.

The distinctions of this section are not as clean or clear as have been presented here. The boundary between science and engineering can be and often is murky. Many items of study in science are influenced if not literally created by people. This is obviously true in biology and the life sciences but also true in physics where certain elements in the periodic table do not exist in nature. Perhaps, therefore, the areas of pure science are very limited. On the other hand, since people are members of our natural system, an argument can be made that their products are as natural as anything else and, therefore, the areas of pure scientific study are very broad. Clearly engineering is constrained in what it can create by the laws of science as everything is. Nevertheless, there is a difference in spirit in the two disciplines worth trying to delineate.