$\int _{0}^{3}{\text{Sin}}\left[{\text{Exp}}\left[x^{2}\right]\right]\,dx$

Th 5/12 Late Qing Fiction • Li Boyuan, Modern Times (35_ModernTimes) F 5/13 MIDTERM 2 Week 08 M 5/16 Baihua and the Literary Revolution • Idema pp. 255-266 (36_Idema255) • Hu Shi, “Some Modest Proposals,” poems (37_HuShi) • Reading Response 06 due T 5/17 Lu Xun • Idema pp. 267-276 (38_Idema267) • “Preface to Call to Arms,” “A Madman’s Diary” (39_LuXun) W 5/18 May Fourth Romanticism • Yu Dafu, “Sinking” (40_Sinking) Th 5/19 Writing Women • Ding Ling, “Miss Sophia’s Diary” (41_MissSophia) F 5/20 “Realism” and Revolution • Mao Dun, “Spring Silkworms” (42_SpringSilkworms) Week 09 M 5/23 Regionalism • Shen Congwen, “Xiaoxiao” (43_Xiaoxiao) T 5/24 Cosmopolitanism • Eileen Chang (Zhang Ailing), “Sealed Off” (44_SealedOff) • Reading Response 07 due W 5/25 The New Poetry • Idema pp. 277-282 (46_Idema277) • Selected poems by Guo Moruo (Kuo Mo-jo), Xu Zhimo, Wen Yiduo, Li Jinfa, Dai Wangshu (47_NewPoetry)

Th 5/26 The New Drama • Idema pp. 282-286 (48_Idema282) • Excerpts from Kuan Han-ch’ing (49_GuanHanqing) F 5/27 Yan’an I • Idema pp. 287-301 (50_Idema287) • Ding Ling, “When I Was in Xia Village” (51_XiaVillage) Week 10 M 5/30 Memorial Day No Class T 5/31 Yan’an II • Mao Zedong, “Talks at the Yan’an Forum” (52_YananTalks) • Reading Response 08 due W 6/1 Workers, Peasants, and Soldiers • Hao Ran, “Firm and Impartial” (53_FirmandImpartial) Th 6/2 Scars, Mist, Roots • Selected poems by Bei Dao, Shu Ting, Gu Cheng (55_MistyPoetry) • Han Shaogong, “Déjà vu” (56_Déjàvu) F 6/3 The Avant-Garde and the Market • Yu Hua, “On the Road at Eighteen” (57_OntheRoad) • Zhu Wen, “Wheels” (58_Wheels) Final Exam: Wednesday, June 08, 2011, 830-1020, ART 006

Dear Students,

HW5 consists of: Chapter 3: problem 10 Chapter 4: problems 3, 4, 5, 16, 27

and problems X2 and X3, defined below. Note that problems 3, 4, 5, and 16 form a complete description of an important bit of space-probe orbital dynamics.

Problem X2: Using your answer (or the posted solution) to problem X1 on the extended Euler-Lagrange equation, determine the shape of a thin elastic rod that is clamped horizontally at one end, but otherwise free to deform under the influence of gravity. [this problem will be sketched and briefly discussed in class on 4/11]

Problem X3: In this problem, you will show that the solution to a free-falling mass does in fact minimize the action, at least with respect to one, fairly generic, type of perturbation. A. Using Lagrangian mechanics, show that a mass in free fall near the surface of the earth has trajectory y[t] = y[0] + y'[0]*t - 1/2*g*t^2 B. We will consider a perturbation delta y[t] = (1/2)* alpha *(1-Cos[beta * t]) where beta = 2*pi/tF. Note that the action integral is being taken from t = 0 to t = tF. Sketch delta y[t] and also sketch delta y'[t], both for the range t = 0 to t = tF relevant for the definite integral to be taken for the action. You should find that both functions vanish at t = 0 and at t = tF. C. Write down the kinetic and potential energies, as explicit functions of time, assuming that the trajectory of the falling mass is given by y[t] + delta y[t], and with the similar, consistent, perturbation for the velocity. D. Write down the action integral, and break it into three definite integrals, one having order 0 in alpha (this is the action of the unperturbed free-fall trajectory), one having order 1 in alpha (this would be the lowest-order correction to the action, if it is non-vanishing), and the last having order 2 in alpha. Label these integrals as S0, S1, and S2, respectively. E. Solve all three integrals, and make a sketch of the total S as a function of alpha. Is S a maximum, a minimum, or neither at alpha = 0?

== http://www.stat.washington.edu/tsr/s566/

http://courses.washington.edu/phys432/index.php

https://catalyst.uw.edu/gopost/board/seidler/21343/

http://courses.washington.edu/phys335/

http://www.atmos.washington.edu/~bitz/514_2011/

https://catalyst.uw.edu/workspace/jcsong/20422/122760

http://courses.washington.edu/partsym/index.htm

$\phi _{j}^{n+1}=\phi _{j}^{n}-{\frac {c(\phi _{j+1}^{n}-\phi _{j-1}^{n})\Delta t}{2\Delta x}}$