Engineering Mathematics: Fourier Series on a General Interval
Description
Usually Fourier Series is taught as applied to individual intervals. This makes the students struggle to remember separate formulas for different intervals. Here, a general formula is given with two examples.
Presentation Transcript
Slide 1 : Fourier Series on a General Interval Dirichlet Conditions
A function f(x) can be represented by a Fourier series if (1) f(x) is periodic, single-valued and finite, (2) f(x) has a finite number of discontinuities in each period and, (3) f(x) has at the most a finite number of maxima and minima.
Slide 2 : Expansion of
Even or odd functions
Slide 3 : Solved Problem Q1 k 1 2 -1 -2 Figure 1
Slide 4 : Solution of Q1
Slide 5 : Solved Problem Q2
Slide 6 : Solution of Q2
Slide 7 : Please
contact
the author
for
any clarification
Slide 8 : Solved Problem Q3
Slide 9 : Solution of Q3
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