The price of college tuition has increased more than any other major good or service for the last twenty years. Nine out of ten American high school seniors aspire to go to college, yet the United States has fallen from world leader to only the tenth most educated nation. Almost half of college students don't graduate; those who do have unprecedented levels of federal and private student loan debt, which constitutes a credit bubble similar to the mortgage crisis. The system particularly fails the first-generation, the low-income, and students of color who predominate in coming generations. What we need to know is changing more quickly than ever, and a rising tide of information threatens to swamp knowledge and wisdom. America cannot regain its economic and cultural leadership with an increasingly ignorant population. Our choice is clear: Radically change the way higher education is delivered, or resign ourselves to never having enough of it. The roots of the words "university" and "college" both mean community. In the age of constant connectedness and social media, it's time for the monolithic, millennium-old, ivy-covered walls to undergo a phase change into something much lighter, more permeable, and fluid. The future lies in personal learning networks and paths, learning that blends experiential and digital approaches, and free and open-source educational models. Increasingly, you will decide what, when, where, and with whom you want to learn, and you will learn by doing. The university is the cathedral of modernity and rationality, and with our whole civilization in crisis, we are poised on the brink of Reformation.
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... (u, v), the unit normal field, U, is U = }/u × )/v |Yu × V || are almost always so complicated that they are ... DIy[lu, lvl, {lu, 2}], DIy[lu, lvl, lul, DIy[lu, lvl, lvl) vtp[DIy[lu, lvl, {lv, 2}], DIy[lu, lvl, lu), DIy[lu, lvl, lvl) ...
In this book, Rob shares his story of overcoming a difficult childhood with the strength of faith and family, and offers inspiration and hope.
... u Є W1 , 9 ( N ) which , by ( 4.9 ) , should have Vu = 0 , u = 0 , namely , u = 0 a.e. in N and lulla = 1. This ... Diy [ u . D1p = lim [ v . Div = [ D14 which furnishes u = + const . a . e . in B. Since B is arbitrary , the proof of the ...
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They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject.
This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics.
... U = X, UY. Let M be a d.i.m. of G. We define M' as follows: M := M UM" where M” fulfills the following conditions ... diy; e M' for all 1 < i < k and hence, dip, and afty, are dominated by M". Assume there is an edge in E." that is not ...
The higher the For a computer program using Mathematica to calculate the densities of states in 1D , 2D , and 3D , visit Dr. Fretwell's website at http : //pyweb.swan . ac.uk/~fretwell/DOS.pdf and download densities of states .