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 Ghafari
Email: a_selkghafari@sharif.edu
Homepage: http://kish.sharif.edu/~a_selkghafari
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11.1 Fourier Series
Engineering Mathematics, Dr. A. Selk Ghafari
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11.1 Fourier Series
Engineering Mathematics, Dr. A. Selk Ghafari 4
11.1 Fourier Series

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11.1 Fourier Series
11.1 Fourier Series
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11.1 Fourier Series
11.1 Fourier Series

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11.1 Fourier Series
11.1 Fourier Series
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11.2 Fourier Series for Functions of
Period 2L
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).

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11.3 Even and Odd Functions
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Note: See examples 1, and 2 in section 11.3 of your text book (p. 492)

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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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11.6 Approximation by
Trigonometric Polynomials
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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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11.7.1FourierCosine&SineIntegral
11.8 Fourier Transform
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11.8.1 Fourier Cosine & Sine Transform
11.8.1 Fourier Sine & Cosine Transform

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11.8.4 Fourier Sine and Cosine
Transform Linear Operation
11.8.5 Transforms of Derivatives
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11.8.5 Sine and Cosine Transforms
of Derivatives
11.9 Complex Fourier Transform

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11.9 Complex Fourier Transform
11.9.1 Linearity of Complex Fourier
Transform
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11.9.3 Convolution

Engineering Mathematics chapter 11,

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Engineering Mathematics chapter 11,