MATH V1101.001:
Calculus I
Spring 2007

M, W, 2:40 - 3:55 PM, 417 Mathematics Building

Announcements

1/17 - Welcome to Calculus I!

10/6 - Here is a sample of what the midterm might look like. Here is another. And here is a review sheet that was created by someone else, but which is a fairly good guide for this midterm. Of course, those topics that we have not covered will not be on the midterm.

3/20 - Here is a sample of what the midterm2 might look like.

4/30 - Sample Finals: One, Two, Three. Here are solutions to one of the practice exams.

Course Details

Instructor: John Baldwin (408 Mathematics, baldwin@math.columbia.edu)

TA: Marina Skyers (ms2555@barnard.edu)

Office Hours: Monday, 1:30pm - 2:30pm, in 408 Mathematics.

Text: James Stewart Essential Calculus: Early Transcendentals, Brooks/Cole, 2007.

Course description: We'll cover the following (Chapters 1 - 6 of Stewart):

1. Functions: definition, elementary functions, basic properties
2. Limits and continuity
3. Derivative: definition, computing the derivative, applications to curve sketching and optimization problems
4. Integration: definition, Fundamental Theorem of Calculus, applications

Policies: Students are required to hand in homework every week, take the midterms and the final. Students are also expected to attend every class. Here are some suggested policies:

1. Active participation is strongly encouraged.
2. Reading the book is helpful. Please try to read the material we are going to cover before class.
3. Should you miss a class, get the notes from your peers.
4. While working on the homework, collaboration is encouraged, as long as the work you hand in is your own. Also, staple your homework.
5. For all written work, solve the problems in organized fashion, with clear explanations. The grader can't read your mind.
6. Ask questions if something is not clear, both in class and outside of class. Help is always available from me or the Barnard Help Room (333 Milbank Hall).

Calculators: Calculators are not required for this course. If you have a graphing calculator, you might find it helpful when you are working on your homework. However, you will not be allowed to use a calculator during the exams.

Homework: Homework will be assigned weekly and is due the following Wednesday before class starts. Homework should be placed in a bin labeled "J. Baldwin Calc I drop off", located outside of room 408. Your two lowest homework grades will be dropped. Late homework will not be accepted.

Exams: There will be two (possibly three) midterms and a final.
There will be no make-up exams without a note from a doctor or a dean.

Grading: The tentative grading scheme is as follows:

• Final: 40%
• Midterm 1: 20%
• Midterm 2: 20%
• Homework: 20%

In order to receive full credit for your homework problems, you must show your work clearly. Merely writing down an answer will generally not suffice.

Class Schedule and Homework Assignments

This schedule is tentative and might change as the class progresses. Please check regularly for current homework information, as I plan to post the homework assignments 1-2 weeks in advance.

1.1: 1,3-5,7,21,25,26,40
1.2: 1,4,9,23,31,35,37

1.3: 3,4,5,6,7,9,23,29
1.4: 1,2,3,5,14,21,37

1.4: 29,30,31
1.5: 3,5,6,13 (don't graph),27,39,38,45
1.6: 1,7,13,15,19,21,26(hint: squeeze theorem),27,31
2.1: 17,19

2.1: 5,11,27,41,47
2.2: 1,5,7,11,27,33
2.3: 7,11,21,31,41
2.4: 3,7,13,21,29,41,43
2.5: 1,5

2.6: 3,7,11,15,17,23,41
3.3: 1,3,5,21,29,32,35,50,53,54
3.5: 7,13,15,17,23,32

2.7: 3,5,11,13,14,17,20,23,31
2.8: 1,3,11,13,17,19
3.7: 5,7,11,21,24,27,32,33,35

4.1: 2,3,4,5,6,9,11,23,29,31,37,47,61
4.2: 3,5,11,13,17,23,25,27

4.3: 1,3,17,21,31
4.5: 9,19,41,45
4.6: 1,3,25
4.7: 1,3,9,10,22,31

5.1: 13,14,15
5.2: 1,15,16,23,32,37,40,45,47

5.3: 1,3,5,15,17,19,20,21,38,45,47,55,63
5.4: 1,5,9,11,14,24
5.5: 3,5,8,11,32,37,39,45
5.6: 1,3,5,15

7.1: 1,3,14,15,17
7.2: 3,5,9,15,21
7.3: 3,7,9,15,19,25,29,31