Engineering Mathematics chapter 11,
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Transcript of Engineering Mathematics chapter 11,
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Lecture One:Fourier Series, Integrals, and
Transforms (Ch. 11) School of Science and Engineering
Sharif University of Technology International Campus
Dr. A. Selk GhafariEmail: [email protected]
Homepage: http://kish.sharif.edu/~a_selkghafari
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11.1 Fourier Series
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11.1 Fourier Series
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11.1 Fourier Series
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11.1 Fourier Series
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11.1 Fourier Series
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11.1 Fourier Series
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11.1 Fourier Series
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11.1 Fourier Series
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11.1 Fourier Series
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11.2 Fourier Series for Functions of Period 2L
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11.2 Fourier Series for Functions of Period 2L
Note: See examples 2, and 3 in section 11.2 of your text book (pp. 488-489).Engineering Mathematics, Dr. A. Selk Ghafari
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11.3 Even and Odd Functions
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11.3 Even and Odd Functions
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11.3 Even and Odd Functions
Note: See examples 1, and 2 in section 11.3 of your text book (p. 492)
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11.3 Even and Odd Functions
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11.3 Even and Odd Functions
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11.3.1 Half Range Expansion
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11.3.1 Half Range Expansion
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11.3.1 Half Range Expansion
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11.3.1 Half Range Expansion
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11.4 Complex Fourier Series
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11.5 Application: Forced Oscillation
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11.5 Application: Forced Oscillation
(**)
(*)
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11.5 Application: Forced Oscillation
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11.6 Approximation by Trigonometric Polynomials
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11.6 Approximation by Trigonometric Polynomials
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11.6 Approximation by Trigonometric Polynomials
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11.7 Fourier Integral
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11.7 Fourier Integral
Note: See examples 1 in section 11.7 of your text book (p. 506)
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11.7 Fourier Integral
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11.7 Fourier Integral
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11.7.1 FourierCosine & Sine Integral
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11.8 Fourier Transform
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11.8.1 Fourier Cosine & Sine Transform
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11.8.1 Fourier Sine & Cosine Transform
Note: See examples 2 in section 11.8 of your text book (p. 515)
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11.8.4 Fourier Sine and Cosine Transform Linear Operation
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11.8.5 Transforms of Derivatives
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11.8.5 Sine and Cosine Transforms of Derivatives
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11.9 Complex Fourier Transform
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11.9 Complex Fourier Transform
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11.9.1 Linearity of Complex Fourier Transform
Note: See examples 3 in section 11.9 of your text book (p. 522)
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11.9.3 Convolution
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