Rio Hondo College s2

Rio Hondo College Math 191: Calculus II Fall Semester, 2011

Prerequisite: Math 190 with a grade of C or better , or appropriate assessment. Time and Place: Tuesday and Thursday 9:00 AM to 11:30 AM, Room S226. Ticket number: 71334 Credits: 4

Instructor: George Wang e-mail: [email protected] Office: S320Q, telephone: 562.463.7569 Office hours: Monday and Wednesday: 2:00 PM to 2:30 PM, Tuesday and Thursday: 11:30 AM to 12:45 PM. and by appointment.

Text: Calculus, Early Transcendentals, 6-th edition, James Stewarts, Brooks/Cole 2008. ISBN 0-495-38343-0 (text alone) Student solution manual is recommended. Access to WebAssign is required.

Calculator: TI-83/84 (Plus)

Calculators with symbolic differentiation and integration such as TI-89 or TI-92 are not allowed for a quiz or test. Other electronic devices such as cellular phone or pager are not allowed to be used during a quiz or test.

Course Objective:

This course is a semester course which continues the study of calculus begun in Math 190. Topics covered are areas, volumes, techniques of integration, arc length, surface of revolution, differential equations, parametric equations, and Taylor and Maclaurin series. This course is required of engineering, physics, mathematics and computer science majors.

Student Learning Outcomes:

(1) Given a real world situation, students are able to use the appropriate integration technique to find the area or the volume as a solution to the problem. (2) Given an integral, students are able to identify it as an improper integral. And students are able to test if the integral converges and evaluate the integral. (3) Given an infinite series, students are able to use an integral test to determine if the series converges. 2

Grading Policy:

(1) Class Attendance & Performance: Attendance is mandatory. Make sure you will come to the class on time and stay for the whole class period. You should read the textbook before the class meeting to prepare your selves for the lesson. (2) WebAssign problems(12%): You have to turn in your work clearly written and organized in class on the due date. Make sure you finish the work on or before the deadline. You should turn in your work even if you did not get the correct answers. Go to http://www.webassign.com. The class key is riohondo 7723 4260. (3) Daily short quiz and worksheets(10%): We will have a short quiz at the end of the class meeting. The quiz is based on the material we have covered in that meeting. You have to turn it in during the class meeting time. If you did not turn it in on time, you can turn it in at the beginning of the next meeting. You will lose 50% of the points on the quiz. No make up quizzes will be given. (4) Tests (58%) : We will have 4 tests.(T1=10%, T2-T3=18% each,T4=12%) The dates will be announced in class. (5) Comprehensive Final Exam(20%): Thursday, December 8, 2010. 8:05-10:05 AM

Math 191: Calculus II (Tentative Schedule)

Week Dates Topics 1 8/23-8/25 6.2-6.3 2 8/30-9/1 6.4-6.5, 7.1 3 9/6-9/8 Review, 7.2, TEST1 4 9/13-9/15 7.3, 7.4, 7.5 5 9/20-9/22 7.5, 7.7, 7.8 6 9/27-9/29 11.1, Review, TEST2 7 10/4-10/6 11.2, 11.3, 11.4 8 10/11-10/13 11.5-11.6, 11.7 9 10/18-10/20 11.8, 11.9,11.10 10 10/25-10/27 Review, TEST3 11 11/1-11/3 8.1, 8.2, 8.3 12 11/8-11/10 8.4., 9.1, 9.3 13 11/15-11/17 9.5, 10.1 14 11/22-11/24 TEST4, Thanksgiving 15 11/29-12/1 10.2, Review 16 12/8 Final Exam(8:05 -10:05 AM) 3

Tentative test dates are the following:

Test 1: 9-8-2011 sections 6.1-6.5 Test 2: 9-29-2011 sections 7.1 -7.8 Test 3: 10-27-2011 sections 11.1-11.11 Test 4: 11-22-2011 sections 9.1-9.5, 8.1-8.4 Final Exam: 12-6-2011 8:05 AM to 10:05 AM

Grade: A: 90-100% B: 80-89% C: 70-79% D: 60-69% F: below 60%

Important Dates: 8-30: Last day to add. 9-22: Last day to petition P/NP Last day to drop without a W. 11-10: Last day to drop semester length classes.

Your class record : Quiz 0= ______

Quiz 1 2 3 4 5 Score Quiz 6 7 8 9 10 Score Quiz 11 12 13 14 15

Score Quiz 16 17 18 19 20 Score Quiz 21 22 23 24 25 Score

T1 = ______T2= ______T3 = ______

T4 = ______4

Math 191: Calculus II Homework Assignment

Text book: Calculus: Early Transcendentals, James Stewart 6e ISBN 0-534-39321-7

Review: Trigonometry, Limits, Derivatives, Integrations. Note: You have to present your work. Do not just give the answer. In order to be successful in learning Calculus, you should try to do more problems. For example: all odd questions in the book and some even questions. This homework set is just the minimum practice for this course.

Chapter 6: Integrals

Section Page Textbook Numbers 6.1 420 3, 5,9,15,19,27,31 6.2 430 3, 4, 9, 19, 25, 31, 33, 41, 43, 57, 59 6.3 436 5, 10, 13, 19, 21, 23, 31, 29, 39 6.4 441 1, 3, 5, 9, 13, 19 6.5 445 2, 5, 7, 9, 13, 15, 17 Review 446 1-29(3N)

Test 1: Chapter 6

Chapter 7: Techniques of Integration

Section Page Textbook Numbers 7.1 457 5, 7, 9, 13, 15, 17, 23, 29, 33, 35, 37, 53. 7.2 465 1, 3, 7, 15, 19, 31, 35, 55, 57, 61 7.3 472 5, 7, 15, 17, 33. 7.4 481 1, 2, 3, 5, 6, 7, 9, 15, 19, 29, 39, 45, 49. 7.5 488 1, 5, 9, 11, 15, 19, 21, 31, 43, 57, 63, 65. 7.7 505 5, 7, 38 7.8 515 1, 3,7, 11, 13, 21, 25, 37, 41, 49, 51, 55. Review 518 1-49(3N)

Test 2: Chapter 7 5

Chapter 11: Infinite Sequences and Series

Section Page Textbook Numbers 11.1 684 3, 5, 7, 15, 17, 21, 29, 33, 61, 63 11.2 694 7,9,14,19,21,29,35,37,39,43,45,47,49. 11.3 703 11, 15, 19, 21, 27, 29. 11.4 709 3, 9, 15, 21, 27, 38. 11.5 713 5, 7,17, 27, 29. 11.6 719 3, 7, 9, 11, 21, 29 11.7 722 1, 3, 5, 7, 9, 11, 15, 19. 11.8 727 5, 7, 11, 19, 29 11.9 733 5, 7, 15, 17, 23. 11.10 746 3, 5, 7, 9, 13, 15, Review 759 1-31(3N), 39, 41, 43, 45, 47, 49

Test 3: Chapter 11

Chapter 8: Further Applications of Integration

Section Page Textbook Numbers 8.1 530 3, 5, 7, 9, 13, 15, 17, 33 8.2 537 3, 5, 7, 9, 11, 13, 15 8.3 547 3,5,7,9,11,13,21,23,25,27,29,31,35 8.4 553 1,3,5,7 Review 562 1, 2, 3, 4, 7, 11, 12, 15,19

Chapter 9: Differential Equations

Section Page Textbook Numbers 9.1 571 3, 5, 9 9.2 578 2, 9, 11 9.3 586 1-13(Odd), 16, 17, 19, 21 9.4 598 1, 5 9.5 606 1, 3, 9, 13, 15, 19 Review 615 4, 5, 7, 9, 11, 13

Test 4: Chapter 8 and Chapter 9 6

Chapter 10: Parametric equations and Polar Coordinates

Section Page Textbook Numbers 10.1 626 3, 5, 7, 11, 15,19, 24 10.2 636 5, 7, 11, 15, 17, 19, 29, 41, 43 10.3 647 3, 5, 7, 9,13,15,17,21, 23, 29, 33, 37, 57, 61, 65 10.4 653 3, 7, 9, 13, 17, 23, 25, 29 Review 670 1, 3, 7, 8, 9, 13, 17, 21, 23, 25, 31, 33, 35, 37

Note: Any student with a disability, who believes that he/she may need accommodations in this class, is encouraged to contact the Disabled Student Program and Services as soon as possible to ensure that such accommodations are implemented in a timely manner. The office is located in room S205 and the telephone number is 562.908.3420.