Calculus I, Fall 2007, Section 8

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Section 008
Day/Time: Tuesday and Thursday 11:00 am-12:15 pm.
Location: 702 Hamilton Hall --------NOTE CHANGE
Attending the lectures is strongly encouraged.

Instructor
Professor A. J. de Jong
Office: Math 523
Office Hours: Tuesday & Thursday 9am-10am in Math 523.

Contacting me
If possible please speak to me during my office hours or after class.

Textbook
Calculus (Early Transcendentals) by James Stewart, 6th edition, Brooks/Cole Publishing Co. The book should be available at the Columbia bookstore.

Teaching Assistants
Yogishwar Maharaj, Juinn Ho, Noah Youngs
Office hours: None, but they'll be scheduled to wrok in the help rooms. See below.

Midterm exams
There will be two in class midterm exams. See schedule below. Make-up exams will not be given.

Final exam
According to the projected exam schedule this will be either Friday Dec 14 (9 AM) or Monday Dec 17 (9 AM or 4:10 PM or 7:10 PM). The exact time/date/place will be determined later. Keep checking final exam schedule for definite posting.
All students must take the final at the time scheduled by the university.

Homework
There will be weekly homework assignments which can be found below along with the due date and time. These are to be handed in Wednesdays at noon: Late homework will not be accepted. Students are encouraged to discuss the homework with other students but should write their solutions individually.
To receive credit you must
1. Write you name clearly on the front.
2. Staple your work.
3. Write out your work (not just the answer) and simplify your answers as far as possible.
4. Hand in your work in the designated mail box on the 4th flour of the math department across from office 410.
You can see your grades in the Courseworks Grade Book. The lowest homework grade will be dropped. Your graded homeworks will be returned in the lectures.

Webwork
These are weekly assignments (ten in total) which are completed on and graded by a computer. This homework can be submitted as many times as you like at: Webwork. The webwork deadlines occur each Monday evening at 6:00 PM. The first set is due 09/17/2007 at 06:00pm EDT. To get a full score in webworks you only have to answer 90% of the questions correctly (over the whole semester). In order to participate in this you have to register for this course.
The person in charge of WeBWork for this course is Thomas Peters (tpeters at math dot columbia dot edu). Please contact him if you have a problem.

Grading
Written assignments %10
Webwork assignments %10
Midterms %20 each
Final exam %40

Conflicts
If you have a conflict with any of the exams, please contact the instructor as soon as possible and at least one week before the exam.

Special dates
Sep 14: End of Change of Program Period; Last Day to Add a Class; Last Day to Receive Tuition Refund for Class Dropped
Oct 9: Last Day to Drop a Class for Barnard, Columbia College, General Studies, SIPA, GSAS, and Continuing Education
Nov 5-6: Election day Holiday
Nov 15: Last Day to Drop a Class for Schools not otherwise noted above. Last day for pass/fail option.
Nov 22-23: Thanksgiving Holiday

Help Room
If you would like help with the material, in addition to the office hours you can take advantage of the Math Help Room (Math 406) which is staffed by graduate students and the Barnard Help Room which is designated for students who need help with their calculus classes. No appointment is necessary. It turns out that Calculus I students should use the barnard help room.

Schedule of lectures (may still be modified)
Date
Reading
Homework
Suggested problems
Tue Sep 04 1.1: Four ways to represent a function
1.2: A catalog of essential functions		 Due Noon Sep 12
1.1: 30, 44, 46, 64
1.2: 2, 8, 18
1.3: 3, 38, 42		 1.1: 5, 6, 20, 28, 30, 34, 38, 44, 45, 64, 68, 69
1.2: 2, 4, 8, 9, 11, 18
1.3: 3, 12, 13, 30, 34, 39, 41, 51(a), 64
Thu Sep 06 1.2: A catalog of essential functions
1.3: New functions from old functions
Tue Sept 11 1.5: Exponential functions
1.6: Inverse functions and logarithms		 Due Noon Sep 19
1.5: 14, 26
1.6: 24, 38, 48
2.1: 2, 6
2.2: 4, 12, 28		 1.5: 14, 15, 25
1.6: 5, 9, 10, 15, 24, 38, 48, 61
2.1: 2, 7
2.2: 2, 5, 8, 12, 14, 28
Thu Sep 13 2.1: The tangent and velocity problems
2.2: The limit of a function
Tue Sep 18 2.3: Calculating limits using limit laws
2.4: Precise definition of a limit		 Due Noon Sept 26
2.3: 2, 10, 16, 36
2.4: 2, 20, 32
2.5: 4, 38, 42, 45		 2.3: 1, 2, 4, 5, 9, 10, 13, 23, 36, 41, 46
2.4: 2, 5, 8, 9, 11, 12, 17, 20, 29, 34, 36, 39, 42
2.5: 4, 5, 6, 9, 12, 14, 19, 21, 33, 35, 37, 42, 45, 49
Thu Sep 20 2.4: Precise definition of a limit
2.5: Continuity
Tue Sep 25 2.6: Limits at infinity: horizontal asymptotes
2.7: Derivatives and rates of change 		Due Noon Oct 3
2.6: 4, 22, 36
2.7: 6, 14, 28
2.8: 20, 24		 2.5: 4, 5, 6, 9, 12, 14, 19, 21, 33, 35, 37, 42, 45, 49
2.6: 3, 22, 28, 36
2.7: 6, 14, 28, 32, 37
2.8: 13, 19, 20, 24, 30(a-c)
Thu Sep 27 2.7: Derivatives and rates of change
2.8: The derivative as a function
Tue Oct 02
1st Midterm
The midterm will cover the first two chapters.		 Due Noon Oct 10
3.1: 34, 50(a,b), 67
3.2: 12, 14, 34		 3.1: 3, 8, 10, 24, 27, 34, 36, 50(a,b), 52, 53, 54, 67
3.2: 12, 14, 28, 34, 47(a)
Thu Oct 04 3.1: Derivatives of polynomials and exponentials
3.2: The product and quotient rules
Tue Oct 09 3.3: Derivatives of trigonometic functions
3.4: The chain rule		 Due Noon Oct 17
3.3: 10, 16, 39
3.4: 12, 20, 26, 41
3.5: 23, 26, 50		 3.3: 2, 3, 10, 16, 24, 34, 39, 48
3.4: 1, 4, 11, 12, 20, 26, 40, 41, 48, 52, 62, 78
3.5: 4, 8, 23, 26, 34, 41, 50, 60, 68
Thu Oct 11 3.4: The chain rule
3.5: Implicit differentation
Tue Oct 16 3.6: Derivatives of logarithmic functions
3.9: Related rates		 Due Noon Oct 24
3.6: 3, 25, 33, 45
3.9: 3, 16
3.10: 2, 23
4.1: 7, 44		 3.6: 2, 3, 21, 25, 28, 31, 33, 45, 49
3.9: 3, 16
3.10: 2, 11, 17, 23, 37
4.1: 4, 7, 30, 34, 36, 44, 47, 59, 70
Thu Oct 18 3.10: Linear Approximations and differentials
4.1: Maximum and minimum values
Tue Oct 23 4.1: Maximum and minimum values
4.2: The Mean Value Theorem		 Due Noon Oct 31
4.1: 47, 59
4.2: 14, 17, 27, 32
4.3: 10, 15, 21, 47
4.4: 13, 46		 4.2: 1, 4, 6, 14, 17, 27, 32
4.3: 10, 14, 15, 16, 21, 23, 43, 47, 68, 72(a)
4.4: 5, 13, 15, 17, 39, 40, 46, 52, 53, 60
Thu Oct 25 4.3: How derivatives affect the shape of a graph
4.4: Indeterminate forms and L'Hospital
Tue Oct 30 4.4: Indeterminate forms and L'Hospital
4.5: Summary of curve sketching		 Due Noon Nov 7
4.4: 52, 60
4.5: 22, 31, 32, 54
4.7: 11, 18, 38, 41		 4.5: 2, 22, 31, 32, 54
4.7: 5, 11, 18, 38, 41
Thu Nov 01 4.7: Optimization problems
Tue Nov 6 No class -- Election day holiday
Thu Nov 8
2nd Midterm
Covers the material up to and including 4.5.
Tue Nov 13 4.8: Newton's method
4.9: Antiderivatives		 Due Noon Nov 21
4.8: 5, 40
4.9: 9, 12, 15, 34, 46
5.1: 4, 12, 17, 20		 4.8: 3, 5, 40
4.9: 2, 5, 9, 12, 15, 26, 34, 46, 47, 63
5.1: 4, 12, 17, 20
Thu Nov 15 4.9: Antiderivatives
5.1: Areas and distances
Tue Nov 20 5.2: The definite integral
5.3: The Fundamental Theorem of Calculus		 Due Noon Nov 30
5.2: 7, 17, 34, 36
5.3: 2, 7, 14, 29, 41		 5.2: 7, 17, 22, 28, 34, 36, 40, 42, 48, 50, 54, 65
5.3: 2, 7, 14, 18, 21, 29, 37, 41, 44, 52, 54, 58
5.4: 3, 6, 12, 18, 22, 30, 32, 44, 47, 52
Thu-Nov-22 No class -- Thanksgiving Holiday
Tue Nov 27 5.3: The fundamental theorem of calculus
5.4: Indefinite integrals		 Due Noon Dec 7
5.4: 12, 30, 32, 44, 47
5.5: 4, 5, 22, 30, 69
6.1: 6, 27
6.2: 3, 6		 5.5: 1, 4, 5, 14, 22, 30, 38, 58, 66, 69
6.1: 6, 15, 27, 32
6.2: 3, 6, 44, 50
Thu Nov 29 5.5: The substitution rules
Tue Dec 04 6.1: Areas between curves Due Noon Dec 7!!
See box above this.
Thu Dec 06 6.2: Volumes
Tue Dec 11
Study days: Review Session I
 Time: 11 AM - 12:15 PM Location: Hamilton 702
Thu Dec 13
Study days: Review Session II
 Time: 11 AM - 12:15 PM Location: Hamilton 702
Tue Dec 18
Final Exam
Covers all the material of the lectures
and the corresponding sections of the book. 		Time: 9 AM - 12 PM Location: Hamilton 702