Math V1101 - Calculus I, Sections 7 & 8

Maria Angelica Cueto

Fall 2011

(This class also has a web page on Courseworks and at WebAssign.)

Course Logistics/Contact information.

Lecturer:	Maria Angelica Cueto
Place:	312 Mathematics Building
Time:	TR 9:10am-10:25am (Section 7) and TR 11:00am-12:15pm (Section 8).
Required textbook:	Stewart, Calculus: Early Transcendentals, 7th Edition
Final exam:	Thursday, December 22 (Section 7) and Tuesday,December 20 (Section 8). Both exams will be 9:00am-Noon in Room 312 Mathematics.
Office hours:	M 7pm-8pm (Room 622 Math), R 12:30pm-1:30pm (Room 413 Math) or by appointment
Email:	macueto at math dot columbia dot edu
Teaching assistants:

Section 7:
• Luis Garcia
  email: lgarcia@math.columbia
  Helproom office hours
• Ruchi Gupta
  email: rg2625@columbia
  Helproom office hours
• Marcella Lusardi
  email:mrl2130@columbia
  Helproom office hours


Section 8:
• Andrew Fanoe
  email: afanoe@math.columbia
  Helproom office hours
• Matei Ionita
  email: mi2281@columbia
  Helproom office hours
• Jinyoung Chun
  email:jc3592@columbia
  Helproom office hours





For questions either contact the instructor or the relevant person below.

• Director of Undergraduate Studies: Professor Panagiota Daskalopoulos  

• Undergraduate Administrative Assistant: Mary Young




Important Dates.

• Midterm I: October 6.
• Midterm II: November 10.
• Final Exam: Thursday, Dec 22, 9:00am-Noon (Section 7) and Tuesday, Dec 20, 9:00am-Noon (Section 8) in Room 312 Mathematics.



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.





Syllabus	Policies	Announcements	Textbook	Homework	Piazza	Help Room	Advise




Announcements.

• We will have a special Q&A session on Sunday December 18th from 5:10 to 7:10 in Room 312 Math. Remember to do the practice problems and look at their solutions for help.


• Homework 12 is due on MONDAY Dec 12th at 4pm. For this reason, I will hold office hours on Friday Dec 9th 5-7pm in Room 413 Math instead of on Monday Dec 12.


• Office hours on Monday November 28th have been moved to 5:00-6:30pm. We will meet in Room 413 Math.


• Office hours on Monday November 14th have been cancel. If you need to contact me regarding your grade for midterm 2, come to see me at my office on Tuesday November 15th after 1pm.


• Special office hours: Wednesday November 9th 7-9pm in 622 Math.


• I have posted practice problems for the review session on Thursday 1/3. Please solve them as a way of preparing for midterm 2. I will discuss solutions to them on the review session.


• On Monday 10/31 my office hours will be 7:30-8:30pm in 622 Math.


• New time and location for Monday office hours: M 7-8pm in 622 Math.


• Special office hours: October 3rd 9-11am and October 4th, 12:30-2pm.


• Midterm 1 will cover the material of all lectures up to Thursday September 29th (included!). Please send me your question to organize the review session of October 4th.


• The practice problem sets are ready on WebAssign, so start practicing!


• No office hours on Monday 09/19. Instead, office hours will be held on Thursday 09/22, 12:30PM-2:30PM.


• Classes start Tuesday Sept 6.

• Students with questions about Calculus Placement should come to the:

  • Academic Resources Fair,  Wednesday August 31, 11:00-1:00 in the Roone Arledge Auditorium, Lerner Hall

  or the
  

  • Math Infosession,  Wednesday August 31, 3:30-4:30 in the Lerner Cinema, Lerner Hall.

  For more information, visit this website.

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Textbook.

The print version of the textbook for Calculus I-IV is

James Stewart
Calculus: Early Transcendentals, 7th Edition
ISBN# 9781111649579

The calculus book (7th edition) is on reserve in the math library, 303 Math.

The Columbia bookstore carries a bundled package which includes the print version of the texbook, solution manuals, and access codes for an electronic version of the book as well as the on-line WebAssign system.  This has ISBN numbers:

ISBN# 9781111649579 (13-digit)
ISBN# 111164957X (10-digit)

The cost at the bookstore for this package is $255.75. If you have an earlier version of the textbook then it is entirely your responsibility to deal with any differences between editions. In particular, written homework problems will be assigned by problem number and you will be expected to answer the question with that number in the current edition.

Access to WebAssign is NOT required for students in this section of Calculus I, but it is suggested as a source to practice problems. It may be required in some sections of later Calculus courses.

Students can buy access to WebAssign and/or access to an eBook version of the textbook at CengageBrain.com or at Webassigned.net, as follows:

Access to WebAssign and the eBook version of the textbook for all semesters of the Calculus sequence:  ISBN# 0538738073    $95.00

Access to WebAssign and the eBook version of the textbook for one semester can be purchased directly from WebAssign after enrolling in the appropriate class there for $75.

The publisher also sells a "Hybrid" version of the print textbook that doesn't contain the problems. You should avoid this, since problems will be assigned from the textbook.


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Help Room.

Help room: 333 Milbank, Barnard Help Room (on Barnard campus).
For details look at the helpRoom schedule. This room is always staffed by at least one mathematics professor or graduate student Monday through Friday during business hours. You may drop by whenever the Help Room is open; no appointment is necessary.

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Piazza.

In addition to the Help Room, we will be using an interactive wiki for questions and answers called Piazza.com. Instructors and students can post questions and answers. All Calculus I sections will be using the same system. Here is how to get started:

1. Go to Piazza.
2. Click on "Enroll now".
3. Click on the school name: Columbia University in the City of New York.
4. Look for the class "MATH V1101.009".
5. Follow the instructions and set up your username and password. You can pick a nickname or post anonymously.
Important: Your participation in this online discussion site is optional but strongly suggested. Since Sections 7 and 8 will have many students enrolled (around 100 each), this online service will provide extra resources to learn the material in the class. Please consider joining. Active participation on the online problem discussion will be considered a bonus when determining the final grade in this class.

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Policies.

Grading

Written Homework	10%
First Midterm	25%
Second Midterm	25%
Final exam	40%

WebAssign

WebAssign is an optional online problem system to supplement written homework. The advantage of WebAssign is that you will get immediate feedback on your answers and so it is 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.
Attention for Barnard students: the Webwork emails get sent to your @columbia.edu email.

Here is how to get started:

1. Go to WebAssign
2. Click on "I Have a Class Key"
3. Enter the class key: columbia 2742 7094 (Section 7) and columbia 1733 3578 (Section 8)
4. Follow the instructions and set up your username and password. Please use your Columbia UNI as your username
Once you have set up an account you can log in from WebAssign's front page. As explained in the math department's WebAssign FAQ, if you have not purchased a WebAssign access code you can still enroll now, but after a short grace period will need to purchase an access code to continue using it.  You should be offered options for how to do this from within the software, or see here for more information about the possible ways to purchase an access code directly.

Missed exams

If you have a conflict with any of the exam dates, you must contact me ahead of time so we can make arrangements. (At least a week ahead is preferable.) If you are unable to take the exam because of a medical problem, you must go to the health center and get a note from them -- and contact me as soon as you can.

Calculators

Calculators are not required for this course and will not be allowed on exams.

Students with disabilities

Students with disabilities requiring special accommodation should contact Office of Disability Services (ODS) promptly to discuss appropriate arrangements. I am not authorized to make such accommodations myself. This includes both long-term disabilities and temporary disabilities (e.g. repetitive stress injuries or broken bones).


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Homework.

The lowest written homework score will be dropped. Because of the size of the class, late homework will not be accepted. Do not ask to hand in homework late.

The reason that the lowest homework scores are dropped is that you may need to skip a week due to travel, family emergencies, or sickness. So don't skip homework unnecessarily because you may have an emergency come up later in the semester.

Homework is to be turned in by 4PM on the due date (mostly Tuesdays) to the appropriate basket in the undergraduate office room 410. Homework will be returned in class seven days after the due date.

You are welcome to work on the homework together. However, you must write up your final answers by yourself. I consider writing them up together cheating.

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!

Your TA will verify that you are working the assigned problems, but only four of the problems (marked after the due date by a star) are fully graded. Homework solutions will be posted here on the respective due date:

HW1: due Sept. 13 (exercises graded: 1.1.44, 1.2.13, 1.3.35, 1.5.17) Solutions
HW2: due Sept. 20 (exercises graded: 1.6.75, 2.1.8, 2.2.9, 2.3.26 (+59 bonus)) Solutions
HW3: due Sept. 27 (exercises graded: 2.5.46 (+64 bonus), 2.6.14, 2.7.8, 2.8.40) Solutions
HW4: due Oct. 4 (exercises graded: 3.1.26 (+62 bonus), 3.2.44, 3.3.14, 3.3.44) Solutions
HW5: due Oct. 18 (exercises graded: 3.4.62, 3.5.32, 3.5.75, 3.6.29) Solutions
HW6: due Oct. 25 (exercises graded: 3.9.5, 3.9.17, 3.10.44, 4.1.60) Solutions
HW7: due Nov. 1 (exercises graded: 4.2.17, 4.3.10, 4.5.25, 4.5.26) Solutions
HW8: due Nov. 9 (exercises graded: 4.4.56, 4.7.16, 4.7.48, 4.8.36) Solutions
HW9: due Nov. 22 (exercises graded: 4.9.74, 5.1.18, 5.2.17, 5.2.18) Solutions
HW10: due Nov. 29 (exercises graded: 5.3.26, 5.3.35, 5.3.41, 5.3.54) Solutions
HW11: due Dec. 6 (exercises graded: 5.4.12, 5.4.49 (+60 bonus), 5.5.32, 5.5.86) Solutions
HW12: due Dec. 12 (exercises graded: 6.1.12, 6.1.51 (+55 bonus), 6.2.39, 6.2.50) Solutions



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Syllabus and schedule.

The textbook covers the subject in detail, so I expect students to prepare for each lecture by reading the assigned sections in advance. In lecture, I will outline what is important, give my own perspective on some topics, present examples, and answer questions. Participation in the class, even in this large lecture course, is strongly encouraged. Here is the detailed plan for the entire semester:

DATE	READING	HOMEWORK
Sept. 6th	Preview, §1.1, §1.2: What is Calculus? Four ways to represent a function. A catalog of essential functions.	Due 9/13 Assignment #1 §1.1: : 7, 8, 9, 10, 25, 42, 44, 50 §1.2:: 4, 13, 18, 27
Sept. 8th	§1.3, §1.5: New functions from old functions Exponential functions	Due 9/13 Assignment #1 §1.3: 35, 46, 53, 56, 60 §1.5: 17, 24, 29
Sept. 13th	§1.6, §2.1: Inverse functions and logarithms The tangent and velocity problems	Due 9/20 Assignment #2 §1.6: 21, 22, 61, 75 §2.1: 4, 8
Sept. 15th	§2.2, §2.3: The limit of a function Calculating limits using limit laws	Due 9/20 Assignment #2 §2.2: 2, 6, 7, 9, 11 §2.3: 1, 10, 26, 38, 41, 44, [59 (bonus)]
Sept. 20th	§2.5, §2.6: Continuity Limits at infinity and horizontal asymptotes	Due 9/27 Assignment #3 §2.5: 11, 14, 16, 41, 46, 52, [64 (bonus)] §2.6: 3, 14, 27, 37
Sept. 22nd	§2.7, §2.8: Derivatives and rates of change The derivative as a function	Due 9/27 Assignment #3 §2.7: 3, 8, 19, 39, 50, 51 §2.8: 3, 22, 23, 26, 40
Sept. 27th	§3.1, §3.2: Derivatives of polynomials and exponential functions The product and quotient rules.	Due 10/4 Assignment #4 §3.1: 3, 6, 26, 34, 46, 66, [62 (bonus)] §3.2: 24, 28, 44
Sept. 29th	§3.2, §3.3: The product and quotient rules. Derivatives of trigonometic functions	Due 10/4 Assignment #4 §3.2: 24, 28, 44 §3.3: 14, 21, 30, 39, 44
Oct. 4th	REVIEW
Oct. 6th	MIDTERM 1
Oct. 11th	DROP DEADLINE FOR MOST SCHOOLS
Oct. 11th	Return Midterm 1 and discuss future plans for the course	Due 10/20 (4pm mailbox) BONUS Assignment Write solutions for Midterm 1
Oct. 13th	§3.4, §3.5, §3.6: The chain rule Implicit differentiation Derivatives of logarithmic functions	Due 10/18 Assignment #5 §3.4: 33, 47, 62, [65 (bonus)] §3.5: 1, 25, 28, 32, 45, 75 §3.6: 4, 15, 29, 41, 48
Oct. 18th	§3.9, §3.10: Related rates Linear approximations and differentials	Due 10/25 Assignment #6 §3.9: 5, 14, 17, 20 §3.10: 6, 24, 44
Oct. 20th	§4.1: Maximum and minimum values	Due 10/25 Assignment #6 §4.1: 5, 6, 8, 10, 34, 36, 60
Oct. 25th	§4.2, §4.3: The Mean Value Theorem How Derivatives affect the shape of a curve	Due 11/1 Assignment #7 §4.2: 1, 10, 17, 23, 36 §4.3: 1, 10, 13, 32, 44
Oct. 27th	§4.3, §4.5: How Derivatives affect the shape of a curve Curve Sketching	Due 11/1 Assignment #7 §4.3: 1, 10, 13, 32, 44 §4.5: 12, 13, 18, 25, 28, 46
Nov. 1st	§4.4, §4.7, §4.8: L'Hospital's Rule Optimization Newton's Method	Due 11/9 Assignment #8 §4.4: 7, 12, 33, 44, 56, 62, 63 §4.7: 2, 16, 20, 48, 63 §4.8: 7, 11, 36, 39
Nov. 3rd	REVIEW	Practice problems
Nov. 8th	ELECTION DAY
Nov. 10th	MIDTERM 2
Nov. 15th	§4.9: Antiderivatives	Due 11/22 Assignment #9 §4.9: 26, 48, 42, 52, 53, 74
Nov. 17th	DROP DEADLINE FOR OTHER SCHOOLS
Nov. 17th	§5.1: Areas and distances §5.2: The definite Integral	Due 11/22 Assignment #9 §5.1: 3, 18, 22 §5.2: 17, 18, 34, 48, 50
Nov. 22nd	§5.3: Fundamental theorem of calculus	Due 11/29 Assignment #10 §5.3: 1, 19, 22, 26, 35, 41, 46, 54
Nov. 24th.	THANKSGIVING DAY (NO CLASS)
Nov. 29th	§5.4: Indefinite integrals	Due 12/6 Assignment #11 §5.4: 6, 12, 17, 42, 49, [60 (bonus)]
Dec. 1st	§5.5: Substitution rule	Due 12/6 Assignment #11 §5.5: 32, 44, 68, 86
Dec. 6th.	§6.1: Areas between curves §6.2: Volumes	Due 12/12 Assignment #12 §6.1: 12, 14, 16, 51, [55 (bonus)] §6.2: 39, 42, 50, 52, 54
Dec. 8th	FINAL EXAM REVIEW	Practice problems Solutions
Dec. 20th	FINAL EXAM (SECTION 8), 9:00am - Noon (Room TBA)
Dec. 22nd	FINAL EXAM (SECTION 7), 9:00am - Noon (Room TBA)


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Other advise.

Reading mathematics. You are expected to read the sections in the textbook before coming to class. It's usually only a few pages, so read it carefully. Note down the questions you have; I would expect you to have at least one per page. Read the section again after class. See which questions you now understand. Think about the remaining questions off and on for a day. See which you now understand. Ask someone (e.g., me) about the questions you still have left.

Getting help. If you're having trouble, get help immediately. Everyone who works seriously on mathematics struggles. But if you don't get help promptly you will soon be completely lost. The first places to look for help are my office hours and the course TA in the help room. Talking to your other classmates can also be helpful: for this reason, please consider using Piazza.