Engineering Education "Today in History" Blog: Isaac Newton and Calculus of Variations
by Alice Agogino
closeAuthor: Alice Agogino
Name: Alice Agogino
Email: agogino@berkeley.edu
Site: http://www.me.berkeley.edu/faculty/agogino/
About: Alice M. Agogino is the Roscoe and Elizabeth Hughes Professor of Mechanical Engineering and is affiliated faculty at the Haas School of Business in their Operations and Information Technology Management Group. Her research interests include: community-based design; sustainable engineering; intelligent learning systems; information retrieval and data mining; multiobjective and strategic product design; nonlinear optimization; probabilistic modeling; intelligent control and manufacturing; sensor validation, fusion and diagnostics; wireless sensor networks; multimedia and computer-aided design; design databases; design theory and methods; MEMS/NEMS synthesis and computer-aided design; artificial intelligence and decision and expert systems; and gender/ethnic equity.
She has served in a number of administrative positions at UC Berkeley, including Chair of the Faculty Senate, Associate Dean of Engineering and Faculty Assistant to the Executive Vice Chancellor and Provost in Educational Development and Technology. Prof. Agogino also served as Director for Synthesis, an NSF-sponsored coalition of eight universities with the goal of reforming undergraduate engineering education, and continues as PI for the NEEDS (www.needs.org) and SMETE.ORG digital libraries of courseware in science, mathematics, engineering and technology.
Prof. Agogino received a B.S. in Mechanical Engineering from the University of New Mexico (1975), M.S. degree in Mechanical Engineering (1978) from the University of California at Berkeley and Ph.D. from the Department of Engineering-Economic Systems at Stanford University (1984). Prior to joining the faculty at UC Berkeley, she worked in industry for Dow Chemical, General Electric and SRI International. She has authored over 150 scholarly publications; has won numerous teaching, best paper and research awards; and is a member of the National Academy of Engineering (NAE). At NAE she served on the Committee on Engineering Education, working on the Technologically Speaking and the Engineer 2020 projects. She is currently a member of the National Research Council's Board on Education and the Women in Academic Science Engineering Committee. She has supervised 66 MS projects/theses, 26 doctoral dissertations and numerous undergraduate researchers.See Authors Posts (122) · January 26th, 2008 · Add a Comment
Today in History – January 26, 1697 – Isaac Newton solves Bernoulli’s brachistochrone problem, inventing the “calculus of variations”. The story goes that Jean Bernoulli gave Isaac Newton a challenge solve the following problem in six months:
We are given two fixed points in a vertical plane. A particle starts from rest at one of the points and travels to the other under its own weight. Find the path that the particle must follow in order to reach its destination in the briefest time.
Rather than take 6 months, Newton is reported to have solved the problem the next day. However, the solution, which is a segment of a cycloid, was solved, in part, by Leibniz, L’Hospital, Newton and the two Bernoullis. In fact, there appears to have been quite a lively, and in some cases bitter, debate about the fine points of the solution. Regardless, the challenge was to provide the seed for further development of the theory of calculus of variation used in a wide range of engineering problems, such as optimal control and optimization.
For more information, see the Engineering Pathway’s resources on Isaac Newton, the Brachistochrone problem and calculus of variations.
Also on this date in 1905, Cullinan Diamond (”Star of Africa”), the largest diamond ever found, is unearthed. And in 1992, Americans with Disabilities Act went into effect. Check out the Engineering Pathway’s resources on teaching and learning for persons with disabilities.
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Tags: Broadening Participation · Engineering Mechanics · General Engineering, Engineering Science · Mineral and Mining Engineering
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