Calculus 1 |
NISHIWAKI, Masaaki |
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【Mechanical and Precision System･2nd semester】
14-1-1330 |
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Objectives |
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Differential and integral calculus is one of basic subjects for learning science and technology. Strength analysis of materials, mechanical dynamics, vibration engineering, fluid mechanics, and thermodynamics are analyzed by differential and integral calculus. This lecture provides the basic knowledge for these analyses and calculation.
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Outline |
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Single variable calculus is described, which is composed of the following: derivative, increase and decrease of function, local maximum and local minimum of function, real-valued continuous functions, derivatives of fraction and composite functions, derivatives of some functions, mean value theorem, secondary derivatives, derivatives of inverse function, derivatives of parametric representation function, derivatives of local limit in indeterminate form, Taylor series, antiderivatives in some functions, definite integral, fundamental theorem of calculus, area, volume, curves length, and improper integral.
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