121 Assign.docx

Phillip Matthew E. Malicdem 2015-12162 Phys 121

1.

F(t) = ∑∞ 𝑛=1

𝐴 𝑛𝜋

(−1)𝑛+1 sin 𝑛𝜔𝑡

Setting A = π and ω = 1 and graphing over –τ/2 to τ/2 where τ =1 for n = 2, 5, 8 we can get the following graphs

n=2

n=5

n=8

2. As we increase the number of terms involved in the data, the accuracy of it increases as well but increasing it also makes it arrive to a point where the function is discontinuous. This discrepancy in approximation is known as the Gibbs Phenomenon.