Math V1102 - Calculus II, section 5

Alice Rizzardo

Spring 2010

Contact information

You can contact me by email at rizzardo@math.columbia.edu .
My office is in math 408.
Office hours will be on Tuesday, 5:30 to 6:30, room 528 and Monday, 3-4, room 528.
If you cannot come to office hours you can write me an email and schedule an appointment.
The T.A. for this class is Luxi Zhang. Her email is lz2184@columbia.edu. She is in the help room on Mondays 4-6.
For help on your homework questions you can go to the Help room . It reopens on January 25.

Class Schedule

Tuesday and Thursday, 4:10-5:25 pm

Room 520

Required text

James Stewart, Calculus (Early Transcendentals), 6th edition published by Thomson Brooks/Cole.
It is available at the Columbia bookstore. It is also available online, probably at lower prices. Many of Stewart's other books look similar, so check carefully that you have chosen the correct text if you order online. This class will cover chapters 5 through 11. There is a table below that shows which sections in the text correspond to each lecture. You are encouraged to read the relevant sections before coming to class.

Important Dates

Details

Workload: There is much to be done in a relatively short period of time, so please try to keep up. Please ask questions if you have them! Set aside enough time in your schedule to keep up with your reading, studying, and homework.

Homework: I will assign homework during most class meetings. Homework is due on Wednesday by 4pm in the drop-off box on the fourth floor. I do not accept late homework, but I will drop your lowest homework score.

To receive full credit for a solution, it is not enough for you to simply write down the correct answer. You must also show all relevant work in an organized fashion. Include explanatory words or phrases if it is not completely obvious how one step leads to the next, so that any other calculus student would be able to read your solution and understand how you obtained your answer. Circle or otherwise clearly indicate your final answer, and include units (meters, seconds, square feet, etc.), if applicable. Please staple your homework!!

You can come to office hours for help or just ask questions after class. Additional help is available every day, beginning January 25, at the help room in room 333 of Milbank Hall on the Barnard campus. Here is the schedule .

Quizzes: Often at the beginning of class there will be a brief (5 to 10 minute) quiz covering material from previous class meetings. If you are late and you miss a quiz, you will receive a zero for that quiz. The quizzes are designed to give you immediate feedback about your understanding of the crucial ideas from the course. If you attend class, pay attention, ask questions, and are diligent about reviewing your notes, reading the book, starting your homework assignments early, and coming to me or to the help room when you need help, you will probably do well on the quizzes. If you find yourself struggling on the quizzes, it's a sign that you need to change your study habits immediately. I do not give makeup quizzes for any reason, but I will drop your lowest quiz score.

Webwork: This is an online homework system to supplement written homework. The advantage of Webwork is that you will get immediate feedback on your answers and so it's a great tool to practice your skills. There is no penalty for the number of times you get an answer wrong before getting the right answer (but you'll find guessing is much more time-consuming that actually solving the problems). You will receive an email with all of the instructions on how to use it and the login information. For technical problems with Webwork, please contact the webwork T.A., Thomas Peters tpeters@math.columbia.edu . I will add a 10% to your Webwork score when computing your grade (e.g. 90% becomes 100%, 80% becomes 90%, 100% stays 100%).
Attention for Barnard students: the Webwork emails get sent to your @columbia.edu email.

Grading Scheme: Grades will be determined approximately as follows:
Midterm exams 20% each
Final Exam 30%
Quizzes 5%
Webwork 5%
Homework 20%
These percentages will be used as guidelines in determining your final grade. The lowest homework score will be dropped. Noticeable improvement on the final exam will be considered when determining your final grade.

Tentative Syllabus:
Day Sections Material HW Recommended (not to be handed in) Due date
January 19 5.1-5.4 Introduction; Review of Integrals 5.2 #34,37
5.3 #18,26,40,44,52
5.4 #6,9,11
5.3 #7-18,19-42,53-56
5.4 #5-18,21-44
January 27
January 21 5.5 Substitution 5.5 #14,24,30,42,54,57,60,66,82
5.5 #1-70, plus #75,78,81
January 26 7.1,7.2 Integration by Parts
Trig integrals
7.1 #2,14,18,22,35,36,48,65
7.2 #2,8,10,16
7.1 #1-32,33-38
7.2 #1-15
February 3
January 28 7.2 Trig Integrals 7.2 #21,26,28,34,35,50,56 7.2 #17-49
February 2 7.3 Trig Substitution 7.3 #6,14,18,24,26,30,34 7.3 #1-30,35,40 February 10
February 4 7.4 Partial Fractions 7.4 #2(b),8
7.5 #2,6,14,18,24
review long division of polynomials and factoring, try a few examples!
February 9 7.4 Partial Fractions 7.4 #4,20,28,34,44
7.5 #15,19,27
7.4 #1-38, and especially #39-50
7.5 as many as you can, to get ready for the midterm!
February 17
February 11 7.8 Improper integrals 7.8 #2,21,32,38,42,50,52,57 7.8 #1,5-40,60
For sample problems for the midterm, look at section 7.5 of your book.
February 16 7.7 Approximate Integration
Review
7.7 #19,22,29,33,46 7.7 #7-18,20,21,27,47,48 February 26
February 18
Midterm I
Solutions
sections 5.3-5.5, 6.1, 7.1-7.5,7.8
February 23 8.1,8.2 Arc length, Surfaces of revolution 8.1 #10,17,32
8.2 #6,14,15
8.1 #3-18,39
8.2 #5-12,13-16,26,27
March 3
February 25 9.1,9.2 Introduction to differential equations 9.1 #2,10,11
9.2 #2,3,4,5,6,11,19
chapter 7-review #9,10,24
9.1 #1-6,12
9.2 #1,7-10,11-14
March 2 9.3 Separable equations 9.3 #8,12,14,16,38
9.4 #1,8,9
9.3 #1-10,11-18,19
9.4 #5,13
March 10
March 4 9.3,9.5 Linear equations
Quiz 2
Solutions
9.3 #29,32,40,41
9.5 #5,15
9.3 #29-32,42-44
9.5 #5-20
March 9 9.5,10.1 Linear Equations
Parametric Equations
9.5 #6,8,20,23
10.1 #9,11,14,20,24,25,28,37
9.5 #5-14,15-20,26,34
10.1 #5-10,11-18,19-22,26,27,41
March 24
March 11 10.2 Parametric Equations 10.1 #40
10.2 #4,7,18,25,27,42,48,66
10.2 #3-6,8-10,17-20,29,30,37-40,41-44,51-54,57-61
March 23 10.3,10.4 Polar coordinates
Review
10.2 #31,34
10.3 #2,4,10,18,36,39,56
7.8 #51,53,77
10.2 #32,33
10.3 #1-12,15-20,29-48
March 31
March 25

Midterm II
Solutions
Study suggestions for midterm 2
Sample midterm
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March 30 10.4,11.1 Polar coordinates,Sequences 10.3 #63,68
10.4 #8,32,36,45
10.3 #63-68
10.4 #1-8,9-14,17-21,23-34
April 7
April 1 11.1,11.2 Sequences,Series 11.1 #4,8,18,25,40,46,56,63,66,68 11.1 #17-46,54,58,60-66
April 6 11.2 Series 11.2 #16,20,24,35,43,56,70,66,76 11.2 #18,30,47,63,64,71,73b, April 14
April 8 11.3 Integral Tests 11.3 #1,7,14,27,29,30,32 11.3 #28,30,34,37
April 13 11.4,11.5 Comparison Tests, Alternating series 11.4 #6,12,16,36,40
11.5 #6,12,24,26,32,35
11.4 #3-32 odd,37,42,45
11.5 #2-20 odd,23-26
April 21
April 15 11.6 Ratio Test, and Root test
Quiz 4
Solutions
11.6 #10,12,14,18,22,30 11.6 #2-28 odd,29,38 (<-- this is a guy who's good with numbers!!)
April 20 11.8 Power Series 11.8 #7,12,16,22,29,30 11.8 #3-28 odd,32,33,39 April 28
April 22 11.9 Functions as Power Series
Quiz 5
Solutions
11.9 #4,8,24,26,38
11.7 #12,14,24,32,38
11.9 #3-10 odd, 13,14,15-18,23-26
April 27 11.10 Taylor Series 11.10 #10,14,18,22,28,43,56,66
11.11 #28
tba May 5
April 29 everything review Final Sample
Solutions
Two exercises on polar coordinates
Study suggestions
Tentative formula sheet
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