(This class also has a web page on Courseworks and at WebAssign.)
Lecturer:  Maria Angelica Cueto 

Place:  312 Mathematics Building 
Time:  TR 9:10am10:25am (Section 7) and TR 11:00am12:15pm (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 9:00amNoon in Room 312 Mathematics. 
Office hours:  M 7pm8pm (Room 622 Math), R 12:30pm1:30pm (Room 413 Math) or by appointment 
Email:  macueto at math dot columbia dot edu 
Teaching assistants: 
For questions either contact the instructor or the relevant person below.
Director of Undergraduate Studies: Professor Panagiota Daskalopoulos
Undergraduate Administrative Assistant: Mary Young
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 

Students with questions about Calculus Placement should come to the:
or the
Math Infosession, Wednesday August 31, 3:304:30 in the Lerner Cinema, Lerner Hall.
The print version of the textbook for Calculus IIV 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 online WebAssign system. This has ISBN numbers:
ISBN# 9781111649579 (13digit)
ISBN# 111164957X (10digit)
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.
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.
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:
Written Homework  10% 
First Midterm  25% 
Second Midterm  25% 
Final exam  40% 
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 timeconsuming 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:
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 are not required for this course and will not be allowed on exams.
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 longterm disabilities and temporary disabilities (e.g. repetitive stress injuries or broken bones).
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
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   
Oct. 6th   
Oct. 11th   
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 

Practice problems 
Nov. 8th 


Nov. 10th   
Nov. 15th 
§4.9: Antiderivatives 
Due 11/22 Assignment #9 §4.9: 26, 48, 42, 52, 53, 74 
Nov. 17th   
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. 


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 

Practice problems Solutions 
Dec. 20th 


Dec. 22nd 


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.