This presentation shows how to differentiate under integral signs via. Leibniz rule. Many examples are discussed to illustrate the ideas. A proof is also given of the most basic case of Leibniz rule. Such ideas are important in applied mathematics and engineering, for example, in Laplace transforms.
Playlist of solved problems and examples from engineering mathematics, presented by Dr Chris Tisdell, UNSW, Sydney. Topics covered will include important aspects of applied mathematics used in engineering, such as: multivariable calculus; vector calculus; differential equations; Laplace transforms; Fourier series.
Founded in 1849, the University of New South Wales (UNSW) is one of the world's leading research universities and part of the Universitas 21, a coalition of international research-focused universities. As one of Australia's leading schools, its campuses teach over 46,000 students in 600 academic programs. In 2009, the Financial Times ranked UNSW's The Australian School of Business the top MBA program in Australia and 32nd in the world. During the school's relatively short history, it has also managed to produce some of the leading political figures in Australia including a foreign minister in Bob Carr and former Attorney General of Australia, Robert McClelland.