MATH 251 Final: MATH 251 PSU M251Final(fa05)
Document Summary
The point value of each question is indicated either at the beginning of each question or at the beginning of each part where there are multiple part. Where appropriate, show your work to receive credit; partial credit may be given. The use of calculators, books, or notes is not permitted on this exam. List the three types of critical points for which this may happen: consider the function f (x) = . 1 x: 10pt find the fourier series of f (x) on [ 2, 2]. (either use summation notation to write the answer or write the rst seven terms. ) In parts b. through d. sn(x) denotes the partial sums of the fourier series on [ 2, 2] of the function f (x): 2pt find limn sn(7, 2pt find limn sn(8, 2pt find limn sn(8. 5, a. 3pt which of the following already has the form of a fourier series on the interval [ 2, 2].
