Michael M. Grayson

The impact of NAFTA on the Mexican‐American trade

This study analyzes the impact of the North American Free Trade Agreement (NAFTA) on the trade between Mexico and the U.S. NAFTA was signed by the U.S., Canada and Mexico on 17 December 1992 and took effect on 1 January 1994. This research found that NAFTA led to a significant increase in U.S. imports from Mexico, did not affect U.S. exports to Mexico, and led to a negative U.S. trade balance in the short term with Mexico. From a policy point of view, the results suggest that further expansion of NAFTA will probably lead to even larger trade deficits, at least in the short term, for the U.S. In order to prepare for the political and economic implications of NAFTA and FTAA the U.S. needs to encourage further research that leads to a quantification of the short‐term benefits and losses, even if most economists, business leaders, and government officials agree that in the long term the countries and populations involved will all benefit.

The First Test

PDE 381. 2 problems for a C; 3 problems for a B; 4 problems in all three sections for an A. In all problems, please give detailed solutions. Please clearly formulate all theorems that you are using. Closed books — you may use neither the textbooks nor the notes. Consultation with other people is not allowed. Please write the Honour Pledge in full. No partial credit for wrong answers. 1. Find the indefinite integral xJ 0 (x)dx. 2. Find the indefinite integral J 1 (x)dx. 2 The Wave Equation. 3. Consider the one-dimensional wave equation u tt = a 2 u xx with boundary conditions u(0, t) = u(1, t) = 0 [in other words, a string with fixed end-points at 0 and 1]. Let the initial displacement of the string be zero, and let the initial velocity be a constant ν 0. Find the motion of the string. 4. Consider the one-dimensional wave equation u tt = a 2 u xx on the entire real line [in other words, an infinite string]. Let the initial displacement f (x) be given by f (x) = 1 − |x| for x ∈ [−1, 1], f (x) = 0 otherwise, and let the initial velocity be zero (in other words, the infinite string is plucked and released from rest). Find the motion of the string. 3 Fourier series. 5. Find the Fourier series of the function f given by f (x) = x on (−π, π] and extended 2π-periodically. 6. Find the Fourier series of the function f given by f (x) = −1 on (−π, 0], f (x) = 1 on (0, π], and extended 2π-periodically.