M, Tu, W, Th, 9:00 a.m. - 10:35 a.m.

417 Mathematics building

May 27 - July 3

Course Information

Assignments

Homework: There will be homework assignments every week. The homework will be due on Tuesdays before class or at the beginning of class. There will be a deposit box (turn in) on the fourth floor and a pick up box for graded homework. No late homework will be accepted. No exceptions. Please staple your homework. Extra credit problems will be given for all assignments. These are harder problems, designed to test your understanding. These will only be graded if you have completed all the problem set, you cannot substitute them for another exercise (nor is it in your interest: they are harder).

Quizzes: There will be short quizzes (about 10 minutes) every Monday. These should be easy if you study regularly. I just want to make sure nobody is falling behind.

Exams: There will be one midterm on June 12 and one final exam on July 3.

Grading Scheme: The final grade will be determined from the following (tentative) weights

Homework: 20%

Quizzes: 15%

Midterm: 25%

Final exam: 40%

Help Room: 406 Mathematics. The schedule is available here.

Policies

Summer Session: The class will only last six weeks and meet four times a week. This is very fast and makes the class both demanding and comforting. You will have to work every day to keep up with the class, but your efforts should have almost immediate results.

Assignments: Even though the homeworks only make up a relatively small portion of the final grade, they are probably the most important part of your work. Doing the homework is the only way you can really test your knowledge of the material. If you do not like abstract statements, examples and homework are the mean to understand the theory and gain respect for it. As for the quizzes, I like to ask for definitions. When solving exercises, many students have no idea where to start. If you know the definitions of the objects at play, you can start by writing them down. Then write down what you are asked. Once this is done, the path from one to the other is often already clear to you.

Calculators: They will not be necessary for the course, and not allowed during the exams/quizzes.

Grading Policies: Your homework should show your work, not only the end result. You are expected to detail your computations, write sentences that explain what you do, quote the theorems you are using and verify their assumptions. You will loose credit if you fail to do so, even if you get the right answer. You may work with your classmates on the homework. However, you are supposed to write up your own copy, and indicate who your worked with on your copy, so that we are not too surprised by the similarities.

Reading Assignments: I will regularly assign reading. If we do not have time to cover some material in class, I might assign reading it for the following week. In any case, we will go by the book, so you can read in advance and feel like you understand everything at the lectures. Or you can come to the lectures and open the book afterwards with the happy feeling you have already read it. In any case, I encourage you to read the sections in the book on your own.

Class Participation: Attendance is not required, but strongly encouraged. Ask questions. A lot. Please. I like questions. On occasion, I might stop the class if I do not have any question. There is no stupid question. Do not spend the class feeling like you are watching a foreign movie with no subtitles because you did not dare to ask a question in the first five minutes. Also, do not hesitate to tell me if I am going too fast, too slow, etc. If anything, you are doing me a favor for improving my teaching.

Make-up Exams: If you are not present at an exam, you will get 0. There will be no make-up exam without a note from a doctor or the dean.

Be Excited! This course will probably be your first introduction to higher mathematics. We will start with natural, geometric ideas coming from our intuition which will serve as motivation and landmarks for the theory. Then we will introduce formal definitions and explain why the objects we constructed enbody the general intuition we have of them. Every week, you should try to think about the broad picture: what were the last few classes really about? What are we doing? Why? How could we have done it differently? Question the material and try to criticize it. In doing so, you will probably gain more respect for it and want to learn more!

Lectures Schedule

Disclaimer: The following schedule is only tentative and will change. Last updated 6/24.

Course Announcements

Please check this section regularly for updates.

7/2: Here is a list of 10 exercises that were on the review sheet and that you should make sure you understand by tomorrow. They are in format Section(Number).

3.1(68), 3.5(28), 4.1(63), 4.5(37), 4.7(12), 4.9(49), 5.2(11), 5.3(54), 5.4(6), 7.1(14).

Remember, the final start at 8:30!

6/27: I made a review sheet on Integrals. Unless there is an overwhelming demand, I will not make one for graphing, since this is virtually Section 4.5 in the textbook.

6/24: The final will be held on Thursday 7/3 from 8:30 to 11:30 a.m. in the usual classroom. See me if you have a conflict with this schedule. Here is a list of 212 or so suggested problems from the textbook.

6/24: The fifth (and last) homework is available here. It is due Tuesday 7/1.

6/17: The fourth homework is available here. It is due Tuesday 6/24.

6/10: Remember that the midterm Thursday will start at 8:30 a.m!!!!

If you want to practice exercises from the book for the midterm, here is a list of suggested problems.

Also, the third homework is available here. It is due Tuesday 6/17.

6/6: I made a couple of review sheets for the midterm. There is one about Limits and Continuity, one about Derivatives and one about Standard Functions. I will try to make one about Graph Sketching over the week-end. So far, there were 75 suggested problems in the textbook. That is probably enough, but if you are done and need more, let me know, I will be happy to provide.

6/2: The second homework is available here. It is due Tuesday 6/10.

5/30: Deadline drop date. Today is the last day to drop a class without being charged for it.

5/27: The first homework is available here. It is due Tuesday 6/3 before or at the beginning of class.

Note: Remember that we will meet on May 30 to make up for the holiday Memorial Day, May 26.

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Reference: Call number 95846. Here is the course page on the directory of classes.

Instructor: Thibaut Pugin (206B Mathematics, pugin@math.columbia.edu)

Teaching Assistant: Luis Garcia Martinez (206A Mathematics, email)

Textbook: Calculus, Early Transcendentals, by James Stewart (6th edition)

Office Hours: M, Tu, W, 10:35 a.m. - 11:45 a.m. in 206B Mathematics or by appointment.

Course Description: This is a standard first-term introduction to Calculus. The course will follow the textbook closely, covering (not exhaustively) chapters 1 through 6. After a brief review of prerequisites, we will begin with functions and limits. Then we will introduce derivatives, study its properties and some applications. Later on, we will study antiderivatives and integrals. See the schedule below for a more detailed outline.