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

Time: MW 11:10-12:25 p.m.
Place: Math 203
Required Textbook: Stewart, Calculus: Early Transcendentals, 6th Edition
Office hours: M 3-4pm and Tu 1-2pm in Math 626.
Final exam date: Projected to be Monday May 9th at 9am
Teaching assistants:

Syllabus Policies

Textbook.

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

James Stewart
Calculus: Early Transcendentals, 6th Edition
ISBN #0495011665

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# 9781111629601 (13-digit)
ISBN# 1111629609 (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 required for students in this section of Calculus I. It may also 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, as follows:

Access to WebAssign for one semester: ISBN# 053873812X    $34.95

Access to WebAssign for all semesters of the Calculus sequence:  ISBN# 0538738111 $49.95

Access to WebAssign and the eBook version of the textbook for all semesters of the Calculus sequence:  ISBN# 0538738073    $85.95

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.

Policies.

Grading

Written Homework 10%
WebAssign Homework 10%
First Midterm 20%
Second Midterm 20%
Final exam 40%

WebAssign

WebAssign is an online homework system that is required for this class. Here's how to get started

  1. Go to WebAssign
  2. Click on "I Have a Class Key"
  3. Enter the class key: columbia 5630 5442
  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.

Homework

The lowest written homework score and lowest WebAssign 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 to the appropriate basket in the undergraduate office room 410. Homework will returned to a basket as well.

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

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).

Syllabus and schedule.

 
DATE READING HOMEWORK
Jan. 19th Preview, 1.1,1.2:
What is Calculus?
Four ways to represent a function.
A catalog of essential functions.
 Due 1/26
WebAssignment #1
1.1: : 5, 6, 12, 20, 56
1.2:: 3
Jan. 24, 26 1.3, 1.5, 1.6:
New functions from old functions
Exponential functions
Inverse functions and logarithms
 Due 2/2
WebAssignment #2
1.3: 50, 54, 57
1.6: 58
Jan. 31, Feb 2 2.1, 2.2, 2.3:
The tangent and velocity problems
The limit of a function
Calculating limits using limit laws 		Due 2/9
WebAssignment #3
2.1: 7
2.2: 1,8
2.3: 2
Feb. 7, 9 2.5, 2.6, 2.7, 2.8:
Continuity
Limits at infinity and horizontal asymptotes
Derivatives and rates of change
The derivative as a function 		Due 2/23
WebAssignment #4
2.5: 42
2.6: 13
2.7: 50
2.8: 2
Feb. 16
MIDTERM 1
Feb. 22
DROP DEADLINE FOR MOST SCHOOLS
Feb. 21-23 3.1, 3.2:
Derivatives of polynomials and exponential functions
The product and quotient rules. 		Due 3/2
WebAssignment #5
3.1: 53, 61
3.2: 46, 55
Feb. 28-Mar. 2 3.3, 3.4:
Derivatives of trigonometic functions
The chain rule 		Due 3/9
WebAssignment #6 3.3: 20, 50
3.4: 63, 64, 65
Mar. 7-9 3.5, 3.6, 3.9:
Implicit differentiation
Derivatives of logarithmic functions
Related rates 		Due 3/23
WebAssignment #7 3.5: 28, 29, 40
3.6: 1, 48, 54
3.9: 18
Mar. 14-16
SPRING BREAK
Mar. 21-23 3.10, 4.1, 4.2:
Linear approximations and differentials
Maximum and minimum values
The Mean Value Theorem 		Due 4/6
WebAssignment #8 4.1:3, 4, 7, 8, 30
March 28
MIDTERM 2
Mar. 30, Apr. 4-6 4.2, 4.3, 4.5, 4.7, 4.8:
The Mean Value Theorem
Curve Sketching
Optimization
Newton's Method 		Due 4/13
WebAssignment #9 4.5: 12, 14, 16, 24
4.7: 59
Apr. 11-13 4.9, 5.1:
Anti-derivatives
Area and Distance
 Due 4/20
WebAssignment #10 4.9: 49, 50, 51, 52
5.1: 16, 17, 20
Apr. 18-20 5.2, 5.3, 5.4:
Definite integrals
Fundamental theorem of calculus
Indefinite integrals
 Due 4/27
WebAssignment #11 5.3: 1, 43, 44
5.4: 47
Apr. 25-27 5.5, 6.1, 6.2:
Substitution rule
Areas and Volumes
May 2 Final Exam Review

Other advice.

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.