Calculus II (MATH V1102-008, Fall 2007)


[ Policies & Procedures | Schedule of Lectures ]

Day & Time: Monday and Wednesday 1:10 — 2:25pm

Location: 203 Math

Instructor: Joël Bellaïche

Office Hours: Friday 9-11am.

Teaching assistant: Stephanie Chou

Webwork teaching assistant: Daniel Krasner

Textbook: This year, the math department shifted to the sixth edition of James Stewart, Calculus: early transcendentals Brooks/Cole-Thomson Learning, Belmont, CA, 2003. ISBN 0495383430. It is available at the University bookstore or AddALL. Though it is advised to get the sixth edition of the book, the fifth edition could do as well, as there are not many changes in the course between them. Actually, the main change seems to be the numbering of the exercises.

Prerequisites: Calculus I or the equivalent.

Examinations: There will be two in class tests. The first will be on Wednesday, October 3 and the second on Wednesday, November 14. The final exam is scheduled on Monday, December 17, 1:10-4pm


Policies & Procedures

Goals: At the end of the course, students should be able to

Expectations: To achieve these goals, students are expected to

Assessment: The course grades will be computed as follows:
20% Homework
20% First test
20% Second test
40% Final exam

Tests and Exams: There are no makeups for missed tests. You must take the final examination at the time scheduled by the university; no final exams will be given earlier.

Exercises give you a chance to check that you understand the material and to practice and refine your basic calculus skills. For each lecture, a suggested list of exercises will be given in the syllabus below. Those exercises will not be collected. I insist that the list is only a suggestion. You should do as many exercises as needed to feel confident that you can solve them easily. That can be less or much more than what is suggested in the list.

Graded Homework: There will be two kinds of graded homework: Problem sets and webwork assignments. Each Monday (which is not a holiday) one graded homework of one kind or the other will be due. Your two worst grades among the twelwe received for graded homework will be removed and the average of the remaining ten will determine your homoweork grade for the class.

Extra Credit: An extra credit of up to 4 percentage point on your average is available in recognition of extra work. You have four options. Some are worth 3 points and the last one is worth 4 points (if done perfectly). Do only one of them.

  • [1] 8.3 : 16, 18, 42,48 (up to 3 points)
  • [2] 8.4 : 8 , 10, 14, 16 (up to 3 points)
  • [3] 8.5 : 10, 12, 16, 18 (up to 3 points)
  • [4] 8.3:48; 8.4:14; 8.5:18; Problem plus 8 page 565; (up to 4 points)
  • The cxtra work is due on Wendesday, December 12

    Written work: We write to communicate. Please bear this in mind as you complete assignments and take exams. You must explain your work in order to obtain full credit; an assertion is not an answer. For specific suggestions see A guide to writing in mathematics classes.

    Academic honesty: It is the obligation of each student to understand the University's policies regarding academic honesty and to uphold these standards. Students are encouraged to talk about the problems, but should write up the solutions individually. Students should acknowledge the assistance of any book, software, student or professor.

    Help: Help is available if you have trouble with homework or lecture material. My office hours are a good place to start. You may also take advantage of the Mathematics Help Room (333 Milbank Hall, on the Barnard campus). You may drop by whenever the Help Room is open; no appointment is necessary.

    Calculators: Calculators — in particular graphing calculators — are not required for this course. If you have one, you are welcome to use it when you do your homework. However, calculators will not be allowed during any tests or exams.

    Disabilities: Students with disabilities who will be taking this course and may need disability-related classroom accommodations are encouraged to make an appointment to see the instructor as soon as possible. Also, stop by the Office of Disability Services (BC, CC) to register for support services.


    Schedule of Lectures

    Class Topic Read   Suggested Exercises Graded homework due
    Sep 05 Introduction. Review of prerequisites §5.1-5.5 True-False quiz page 409
    Sep 10 Integration by parts §7.1 7.1:1,6,9,15,20,23,29,34,38,43,47,52,63,65
    Sep 12 Trigonometric integrals §7.2 7.2:2,12,13,26,30,31,38,45,47,56,66-70
    Sep 17 Trigonometric substitution §7.3 7.3:1,4,12,19,22,25,37,34,35,40 Assignment 1: Problems set 1
    Sep 19 Partial fractions §7.4 You should try to do webwork problem set 1 to get used to the system
    Sep 24 Partial fractions §7.4 7.4:2,5,7,12,18,23,34,35,41,45,48,55,58 Assignment 2: webworks problems set 2
    Sep 26 Partial Fractions. Strategy for computing integral. §7.5 7.5:1,2,3,13,19,21,25,44
    Oct 01 Strategy for computing integral. Numerical integration. §7.5,7.7 7.7 Assignment 3: Paper problem set 2
    Oct 03 First midterm §7.1-7.5 As a training you could do Webworks problem set 3. The solution will be available on Tuesday 2. Also page 518: 3,4,5,6,7,11,12,20,21 - see hints and answers Midterm 1
    Oct 08 Numeric integration (continued) §7.7 7.7:2,8,22
    Oct 10 Improper integral §7.8
    Oct 15 Improper integral. Arc Length §7.8, 8.1 7.8:1,2,6,13,19,21,30,35,36,49,50,57,61,62,71 Assignment 4: webworks problems set 2
    Oct 17 Arc Length. Surface Area §8.1,8.2 8.1:2,3,6,8,10,13,17,25,26,31,37; 8.2:1,4,6,9,14,25
    Oct 22 Sequences §11.1 11.1:1,2,3,6,8,9,13,15,19,21,28,36,43,59,62,67,68,81 Assignment 5: problems set 3
    Oct 24 Series §11.2 11.2:1,9,14,16,23,28,29,30,35,42,47,72,73
    Oct 29 Integral test §11.3 11.3:3,5,8,9,11,14,16,20,21,24,25,27,31 Assignment 6 : webworks (extension until Friday, Nov 2)
    Oct 31 Comparison Test §11.4 11.4:,12,4,7,9,14,18,19,24,28,31,35,37,38
    Nov 5 No class
    Nov 7 Alternating Series. §11.5 Assignment 7 : paper problems set 4
    Nov 12 Alternating series. Review §11.5 11.5:1,3,6,12,15,17,21,32-35
    Nov 14 Midterm 2 review : 7.7,7.8,8.1,11.1-4 Training Midterm with solution Midterm 2
    Nov 19 Absolute Convergence. Ration and root Tests. Strategies for testing series §11.6, 11.7 11.6:2,3,5,6,8,914,17,28,29,32,38,39. 11.7:1,2,5,6,15,21,25,31 Webwork Assignment 8
    Nov 21 §11.6 11.6:2,3,5,6,8,914,17,28,29,32,38,39
    Nov 26 Power Series §11.8 Assignement 9 = paper problems set 5
    Nov 28 Power Series §11.9
    Dec 3 Taylor and Maclaurin Series §11.10 Webworks Assignement 9
    Dec 5 Taylor and Maclaurin Series. The binomial formula §11.10, 11.11
    Dec 10 (last day of class) Application of taylor and Maclaurin Series. Review. §11.12 Assignment 11 = paper problems set 6
    Dec 19 Final Exam Training Final (with answers)

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