Calculus II

Announcements , Course Information , Quiz, Exam, Outline , Practice Problems , Online Tools , FAQ

Calculus II:

Announcements

6/21: 如果無法由底下連結查到成績(或是忘記code)請email 給我(請附上學號)

6/21 1am: Final 成績已登錄可於此連結可以查到期末考成績; 週三(本日)下午一點至五點請至數學系416(研究生室二)找助教陳泓翔及蔡琬琦看考卷; 考試成績不理想的相關問題請見FAQ

6/19: 期末考週一應該可以改完, 週二於此連結可以查到期末考成績; 週三下午一點至五點請至數學系416(研究生室二)找助教陳泓翔及蔡琬琦看考卷

6/15: 期末考週一應該可以改完, 週二應該可以讓你們看考卷, 確切時間我週日再公佈.

6/12: 修正3D Plotting from Mathematica 連結錯誤

6/9: 學期末到了, 把常見問題置於FAQ中. 期末考重點

5/30: 6/1 小考範圍為11.3 的例題及習題. 期末考時間定為 6/15. 另外請於此連結查自己的成績, 如有誤請連絡我.

5/18: 颱風假. 考卷延至週一發回. 可先於此連結查自己的成積. 下週四小考範圍 11-1.

5/10: 考試中會給curvature的公式但是T,N,B的公式不會給

5/10: 於Online Tools 中放入Mathematica一些線上工具(積分, step-by-step的偏微分示範, 三維函數圖)的連結

5/5: 大略看了一下22諸位的微積分競試作答結果, 表現很不好. (不過全校都考不好)

5/4: Midterm 1 will cover Chapter 9 and Chapter 10. study_guide for Midterm 2

4/27:Sec. 9.3 Prob. 41: 課堂上我誤解了題意. 這一題應該是以23題的初速及投射角朝向東方投出, 在此同時拋射物也受風力由南往北吹(加速度為4 ft/sec^2. 落點座標應為(271,58.6,0)

4/26: 微積分競試時間:4/29 (六)9:10-10:50; 地點 : 工科館 41103; 考古題連結

4/6: We have finished the grading of Midterm 1. You can check your record HERE.

3/28: The solution to Problem 1 in Sec. 7.10 should be a_n+2= - 2/(n+1) a_n.
There is a mistake on P645, the interval of convergence of series tan^-1 is (-1,1].

3/23: Midterm 1 will cover Chapter 7, Sec. 8.3 (dot product) and Sec. 8.5 (parametric equation of the line). study_guide for Midterm1

3/4: You can check your record HERE.

3/4: Most of you were not good in Quiz 2. The solution is HERE.

3/3: Some students are interested in the convergence of

. You can find the answer HERE.
Note: This problem is too difficult and will not appear in ANY Calculus exam.

3/2: An article about Zeno's paradox

2/22: Answer to Sec 7.1 Prob. 51 should be |p|>1 or p=1

Sec 7.2 Prob 41 is similar to a harmonic series:1/2+1/4+1/6+1/8+....
With n=8, the total overhang of the stack is 1.3589L.
When n>=4, the total overhang is greater than L.
The limit of the total overhang as n goes to infinity is infinity.

2/20: There will be a quiz this Thursday (2/23) and the problem will be from the practice problems of Sec. 7.1 and 7.2.

PS: In case you don't have the text book and can not find one in time, I put Chap. 7 HERE (1.86mb). I'll remove the file later.

top

Time and Place: Mon. 08:10-10:00; Thu. 10:10-12:00, Mech. Building 91308
Lecturer: Min-Hung Chen
Office: 數學館 404室; Ph. 2757575 Ext 65127
e-mail: mhchen@math.ncku.edu.tw
Web: http://www.math.ncku.edu.tw/~mhchen
微積分助教: 陳泓翔

Office: 數學館 416室;
微積分諮詢: 地點數學館二樓研討室(一)(C101室) 微積分諮詢時間表

Text: Calculus: Concepts & Connections. by Smith

Grades will be based upon: Quiz (almost every Thursday) 10%, Term Test 25% x 2, Calculus Competion 5% (bonus) and Final Exam 40 %

Policy in Quiz section: The lowest 3 quiz grades will be dropped.
top

Quiz:

top

Exam:

Exam Day:

Test 1: Thursday, Mar. 30

study_guide for Midterm1 Test 1
Old Exams

Test 2: Thursday, May 11

study_guide for Midterm2 Test 2

Final :

Thursday, June 15

第七章(第一次期中考範圍)可能考 2題. (Fourier Series(7.9)及以 power series 解ODE (7.10) 不考)
第九章可能考 1題
第十章可能考 4題. Limits and Continuity; Chain Rule; Extrema; Lagrange Multipliers; etc.
第十一章可能考4-5題: Change the order of integration; Integrals in Polar, Cylindrical, Spherical Coordinates; Change of Variables in Multiple Integrals.
第十二章考兩題:

top

OUTLINE:

Chap. 7 - Chap. 12. top

Practice Problems:

Chap 7: Infinite Series:

Sec 7.1: 11, 31, 43, 53, 65.		Sec 7.2: 1, 13, 17, 37, 39, 41.
Sec 7.3: 1, 11, 37, 41, 45, 57.		Sec 7.4: 1, 11, 41, 43.
Sec 7.5: 7, 13, 25, 35, 40.		Sec 7.6: 1, 3, 11, 21, 39.
Sec 7.7: 1, 5, 33, 41, 47.		Sec 7.8: 7, 11, 13, 15.
Sec 7.9: 9, 13, 31, 49.		Sec 7.10: 1, 9.

Chap 8: Vectors and the Geometry of Space:

Sec 8.1: 3, 9, 23, 29. 　 Sec 8.2: 9, 13, 27, 35.

Sec 8.3: 1, 7, 11, 17, 21. 　 Sec 8.4: 1, 3, 9, 13, 17, 23.

Sec 8.5: 1, 11, 17, 21, 41, 45. 　 Sec 8.6: 1, 3, 5, 7.
Chap 9: Vector-Valued Functions:

Sec 9.1: 7, 15. 　 Sec 9.2: 1, 7, 13, 23.

Sec 9.3: 1, 7, 15, 41. 　 Sec 9.4: 1, 15, 39, 49.

Sec 9.5: 1, 9, 13, 21, 25. 　 Sec 9.6: 1, 3, 13, 15, 21.

Chap 10: Functions of Several Variables and Partial Differentiation

Sec 10.1: 1, 7, 11, 17.		Sec 10.2: 1, 7, 23, 47, 53.
Sec 10.3: 1, 9, 24, 45, 63.		Sec 10.4: 1, 7, 23, 31.
Sec 10.5: 5, 17, 19, 21, 31.		Sec 10.6: 1, 3, 11, 27, 41.
Sec 10.7: 1, 7, 33, 47.		Sec 10.8: 1, 9, 17, 37, 39.

Chap 11: Multiple Integrals

Sec 11.1: 9, 11, 15, 19, 31, 43, 49, 55.		Sec 11.2: 1, 7, 11, 25, 43.
Sec 11.3: 1, 9, 15, 19, 29.		Sec 11.4: 1, 5, 17, 29.
Sec 11.5: 1, 5, 17, 29, 37.		Sec 11.6: 1, 11, 13, 21, 33.
Sec 11.7: 1, 9, 25,33, 43, 53.		Sec 11.8: 1, 13, 23, 27, 29.

Chap 12: Vector Calculus

Sec 12.1: 11, 23, 25, 39, 45.		Sec 12.2: 1, 11, 13, 15, 27, 37, 43.
Sec 12.3: 1, 17, 25.		Sec 12.4: 1, 7, 13, 19, 37, 41.
Sec 12.5: 5, 7, 11, 21, 33.		Sec 12.6: 1, 19, 27, 37, 55.
Sec 12.7: 1, 5, 11, 17, 29.		Sec 12.8: 1, 5, 11, 17, 29.
Sec 12.9: 3, 5, 11, 15.

top

Online Tools:

The Integrator--Integrals from Mathematica

Step-by-Step Derivatives from Mathematica

Three-Dimensional Plotting from Mathematica

　
top

FAQ:
Q: 我因為種種原因, 導致成績不及格, 甚至會(1/2)(2/3), 請問有何補救措施?

待續.

top

Min-Hung Chen 2006-5-30

Sec 8.1: 3, 9, 23, 29.		Sec 8.2: 9, 13, 27, 35.
Sec 8.3: 1, 7, 11, 17, 21.		Sec 8.4: 1, 3, 9, 13, 17, 23.
Sec 8.5: 1, 11, 17, 21, 41, 45.		Sec 8.6: 1, 3, 5, 7.

Sec 9.1: 7, 15.		Sec 9.2: 1, 7, 13, 23.
Sec 9.3: 1, 7, 15, 41.		Sec 9.4: 1, 15, 39, 49.
Sec 9.5: 1, 9, 13, 21, 25.		Sec 9.6: 1, 3, 13, 15, 21.