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Historically, engineering mathematics consisted mostly of applied analysis, most notably: differential equations; real and complex analysis (including vector and tensor analysis); approximation theory (broadly construed, to include asymptotic, variational, and perturbative methods, representations, numerical analysis); Fourier analysis; potential theory; as well as linear algebra and applied probability, … An advanced course in areas of applied mathematics. Area and Volume. Unit – 1: Differential Calculus – I. Leibnitz’s theorem Partial derivatives Euler’s theorem for homogeneous functions Total derivatives Change of variables Curve tracing *Cartesian *Polar coordinates. The STEM acronym was introduced in 2001 by scientific administrators at the U.S. National Science Foundation (NSF). You can also have online access to Engineering Maths Multiple Choice Questions Answers EBook . 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