Math 126,  Calculus II
Spring 2006
Syllabus


Class times and Room MWF 12:00-12:50 AM in VKC 150.
Discussion Sections
TTh 2:00-2:50 PM, 300-3:50PM, and 4:00-4:50PM, in KAP 113
Textbook
James Stewart, Calculus, 5th Edition.
Prerequisite MATH 125 or a sufficient score on the placement test



Instructor:
Mohammed Ziane
Office: DRB 208
Telephone: (213) 740- 3766
Email: ziane@usc.edu
Web page: www-rcf.usc.edu/~ziane
Office hours: Tentatively: MW 1:30-3:00PM in DRB 208, and by appointment.
Teaching assistant:

 Email
 Office
 Office hours
To be announced

Grading:

Homework
Homework will be collected on thursdays and graded every week
15%
Quiz
Every thursday (in the discussion),  3 problems from the material covered in the previous week. The problems are similar to the homework problems.
10%
Exam 1
Exam 2
Wednesday February 22.             Exams 1 and 2 consist of five problems
Wednesday March 29.                  similar to the homework/quiz problems.

20%
20%
Final
Monday May 8 at 4:30-6:30PM.  The  common final is comprhensive.
                                                          No books,notes, calculators,  or other aids                                                            will be allowed on the final exam.
35%

Note:
By a strictly enforced University rule, no student can be allowed to take the final exam early.

Attendance Policy 

No makeup quizzes or tests will be given; thus any absence on a quiz or test day will result in a quiz/test grade of 0, unless excused.  Except for emergencies, it is your responsibility to let me know in advance if you will be absent (for a legitimate reason).  In case of an excused absence, the final exam grade will replace the quiz/test grade that is missed.

Computer Assignments: There will be a couple of assignments which will involve the use of computer packages.


GETTING HELP

Do not forget that the Instructor and the Teaching Assistant are here to help you, in particular if you are having some trouble with the class.  Do not hesitate to come to their office hours, and/or to make an appointment if their timing conflicts with your schedule. 
 

Math Center

The Math Center is located in KAP 116 and is open Monday through Friday from 8 am to 5 pm (it closes earlier, around 4 pm, on Fridays).  Its purpose is to provide an environment where students can stop by to get help on their math classes.  The office hours of your TA will be held in the Math Center and, in general, it will probably be better to attend office hours of TA's who are teaching Math 126 this term.  However, you are welcome to stop by the Center at any time, and ask for help from any of the Instructors or TA's who are present in the Center at that time.

Supplemental Instruction Leader
The are weekly study sessions held by a Supplemental Instruction Leader (SI Leader). More information will be given in class.


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Tentative weekly schedule:



Monday
Wenesday
Friday
Homework
Week 1
1/9-1/13
Review of integration (from M125)
Section 6.1: Area between curves
Section 6.2: Volumes

Week 2
1/16-1/20
MLK B-day, No Class
Section 6.3: More on volumes
Section 6.4: Work
Section 6.3: 1, 5, 7, 9, 11, 17, 18, 19, 21, 23, 25, 29, 31, 35, 37, 43, 44,  45
Section 6.4: 1, 2, 3, 5, 7, 8, 9, 15, 21.
Week 3
1/23-1/27
Section 6.5: Average value of  a function
Review: Trigonometric functions and inverse functions
Section 7.5: Inverse trigonometric functions
Section 6.5:  1, 3, 4, 5, 10, 17.
Section 7.5: 5, 7, 8, 10, 11, 13, 22,  23, 24,
34, 40, 59, 65,
Week 4
1/30-2/3
Section 7.6: Hyperbolic functions
Section 7.7: L'Hopital's rule
Section 7.7 L'Hopital's rule (continued)
Section 7.6: 3, 9, 15, 23, 33, 35, 43, 47.
Section 7.7: 
5, 9, 15, 17, 21, 23, 25, 29, 33, 35, 39, 43, 45, 47, 49, 55, 57, 59, 61, 63, 65
Week 5
2/6-2/10
Section 8.1: Integration by parts
Section 8.2: Trigonometric integration
Section 8.3: Trigonometric substitution
Section 8.1: 3,4, 5, 7, 9,10, 11, 13, 15, 17, 19,  21 ,41, 45.
Section 8.2: 1,4, 5, 7, 8, 9, 11, 13, 15,  17, 23, 29, 33, 35, 39.
Section 8.3: 1, 3, 5, 7, 9, 11, 13, 17, 19, 23, 24, 25, 29,  36, 39, 40.

Week 6
2/13-2/17
Section 8.4: Partial fractions
Section 8.4: Partial fractions
Section 8.7: Approximating integrals
Section 8.4: 1, 3, 5, 7, 9, 10, 11, 13, 15, 17, 19, 29, 31, 35, 37, 39, 45, 47, 51.
Section 8.5:
1, 3, 5, 7, 9, 11, 13, 17, 19, 23, 25, 29, 37.

Section 8.7: 1, 5, 7, 9, 10, 11, 13, 15, 17, 19, 27, 31.

Week 7
2/20-2/24
President day, No Class
Feb. 22, Exam 1 (covers up to Section 8.3)
Section 8.8: Improper integrals

Week 8
2/27-3/3
Section 8.8: Improper integrals
Section 9.1: Arc length
Section 9.2: Area of a surface of revolution
Section 8.8: 1, 5,  6, 7, 9,  10, 11, 13, 15, 17, 19, 21, 23, 25, 29, 30, 33, 35, 36, 37, 49. 57.
Section 9.1: 
2, 5, 6, 10, 12, 16, 30.
Section 9.2: 5,8,9,16,25,29,30
Week 9
3/6-3/10
Section 9.3: Application to Physics and engineering
Section 12.1: Sequences
Section 12.2: Series
Section 9.3: 1, 4, 8, 9, 12, 28, 29, 32, 40, 41.
Section 12.1: 15, 17, 19, 20,  21, 23, 25, 27, 29, 31, 32, 33, 35, 37, 49, 53, 55, 56, 57.
Section 12.2:
3, 5, 7, 9, 15, 17, 19, 21, 23, 25, 27, 31, 33, 35, 41, 43, 45, 47, 49, 44, 68.
Week *
3/13-3/17
Spring Break
Spring Break
Spring Break

Week 10
3/20-3/24
Section 12.3: Integral test
Section 12.4: Comapaison tests
Section 12.5: Alternation series
Section 12.3:  3, 5, 7, 9,10, 11, 12, 15, 16, 19, 20, 21, 24, 25, 26,  27, 28.
Section 12.4: 3, 5, 6, 7,  9, 11, 13, 15, 19, 21, 23, 25, 26, 27, 29,  30, 31,  33, 35.
Section 12.5: 3, 5, 7, 8, 9, 10, 11, 13, 15, 16, 18, 24, 27, 31, 32, 34
Week 11
3/27-3/31
Section 12.6: Absolute convergence,
ration and root tests
March 29, Exam 2, covers material from 2/6-3/22
Section 12.7: Strategies for testing series
Section 12.6: 2, 3, 5, 9, 10, 12, 16, 17, 18, 19, 21, 22, 23, 24, 28, 31, 33.
Section 12.7: 2, 3, 4, 5,  6, 7, 9, 11, 14, 17, 19, 20, 23, 24, 29, 35, 36.
Week 12
4/3-4/7
Section 12.8:  Power series; radius of convergence
Section 12.9: More on power series
Section 12.10: Taylor series
Section 12.8: 1, 3, 5, 7, 8, 9, 10,  11,  13, 17, 19, 20, 24, 27, 34(a).
Section 12.9: 3, 5, 7, 9, 13, 14, 18, 21, 27, 29,  31, 32,  35,  38(a), 38(b)
Week 13
4/10-4/14
Section 12.10  Taylor series (continued)
Section 12.10  Taylor series (continued) Section 12.11: Binomial series
Section 12.10: 3, 4, 5, 6, 7, 8, 9,  11, 13, 16,  19, 26, 30, 37, 38, 40, 42, 43, 51, 53, 54, 55, 57.
Section 12.11: 1,2,3,8,11,14,15.
Week 14
4/17-4/21
Section 12.12: Applications of Taylor polynomials Section 11.3: Polar coordinates Section 11.4: Area and length in polar coordinates Section 12.12:  3, 5, 7, 9, 13, 15, 16, 18, 20, 27
No need to do the graphing in theses problems.
Section 11.3:
1, 5, 6, 12, 17, 18, 32, 34, 39, 43, 46, 50, 51, 52, 54, 55, 58, 62, 66, 67, 68.

Week 15
4/24-4/28
Section 11.4: Area and length in polar coordinates (continued) Review
Review
Section 11.4: 5, 6, 7,  11, 12, 18, 22, 25, 31, 35, 45, 46.
Final
Monday, May 8th
4:30-6:30PM



Exam policy:
No books, notes, or calculators will be allowed for exams or quizzes. In the hour exams, you will be allowed to use a "cheat sheet", written in your own handwriting and in a format discussed in class, where you can note whatever you think may be useful to you. 

Collaboration: Working in groups is a more efficient way of learning. You are strongly encouraged to meet with other students in the class to study the material of the course and/or get help for the homework. However, the homework should also involve a fair amount of personal work. In particular, just copying someone else's homework is not acceptable and will not be accepted.

Academic integrity: The instructor strongly adheres to the University policies regarding academic integrity violations, and will strictly enforce these rules.

Help: Do not forget that the Instructor and the Teaching Assistant are here to help you, in particular if you are having some trouble with the class. Do not hesitate to come to their office hours, and/or to make an appointment if their timing conflicts with your schedule.

Students with Disabilities: Any student requesting academic accommodations based on a disability is required to register with Disability Services and Programs (DSP) each semester.  A letter of verification for approved accommodations can be obtained from DSP.  Please be sure the letter is delivered to me (or to a TA) as early in the semester as possible.  DSP is located in STU 301 and is open 8:30 a.m. - 5:00 p.m., Monday through Friday.  The phone number for DSP is (213) 740-0776.

Disclaimer: This syllabus is not a contract, and the Instructor reserves the right to make some changes during the semester.