Calculus I, Fall 2009, Section 1

Section 001
Day/Time: Monday and Wednesday 9:10 am-10:25 pm.
Location: 207 Mathematics Building.
Attending the lectures is strongly encouraged.

Instructor
Fabio Nironi (Ritt Assistant Professor)
Office: Math 415
Office Hours: still to be determined
Contacting me
       Feedback and questions are welcome. If you have questions or comments, I'd like to talk to you in person, during my office hours or in or
        directly after class.
        You can also email me if you wish (preferred address fabio dot nironi at gmail dot com).
Textbook
Calculus (Early Transcendentals) by James Stewart, 6th edition, Brooks/Cole Publishing Co. The book should be available at the Columbia bookstore.
Additional material
        I will follow the textbook quite faithfully, nonetheless I would like to encourage you to study, do homeworks and prepare exams using every
        HONEST available source of information; that includes talking to other people, consulting different books and surfing the blagonet.
        Using a calculator (hardware or software or any conceivable evolution of a calculator) to do homeworks is discouraged and it is absolutely
        forbidden during exams. Beside, try to realize that the tao of mathematics is not "how to do calculations" but "how not to do calculations".
Teaching Assistants
TBA
Office hours: None, but they'll be scheduled to work 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. Students can only be excused from the exams because of serious illness; you will need a note from your doctor or dean.

Final exam
        There will be a final exam given at the end of the term. All students must take the final exam at the time scheduled by the university,
       which is projected to be December the 23rd at 9:10 am.
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 Wednesday 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 Wednesday evening at 6:00 PM. The first set is due September the 16th 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.

Academic honesty
        Copying your written work from somebody else or from any other source is considered cheating and will be dealt with severely. Any cheating
        during midterms or finals will result in you failing the course and the matter being reported to your dean.

Special dates
Sep 18: End of Change of Program Period; Last Day to Add a Class; Last Day to Receive Tuition Refund for Class Dropped
Oct 13: Last Day to Drop a Class for Barnard, Columbia College, General Studies, SIPA, GSAS, and Continuing Education
Nov 2-3: Election Day Holiday
Nov 19: Last Day to Drop a Class for Schools not otherwise noted above. Last day for pass/fail option.
Nov 26: 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
Wen Sep 09 1.1: Four ways to represent a function
1.2: A catalog of essential functions		 Due Noon Sep 16
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
Mon Sep 14
 1.2: A catalog of essential functions
1.3: New functions from old functions
Wen Sep 16
 1.5: Exponential functions
1.6: Inverse functions and logarithms		 Due Noon Sep 23
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
Mon Sep 21
 2.1: The tangent and velocity problems
2.2: The limit of a function
Wen Sep 23 2.3: Calculating limits using limit laws
2.4: Precise definition of a limit		 Due Noon Oct 30
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
Mon Sep 28 2.4: Precise definition of a limit
2.5: Continuity
Wen Sep 30
 2.6: Limits at infinity: horizontal asymptotes
2.7: Derivatives and rates of change 		Due Noon Oct 07
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)
Mon Oct 05
 2.7: Derivatives and rates of change
2.8: The derivative as a function
Wen Oct 07
1st Midterm
The midterm will cover the first two chapters.		 Due Noon Oct 14
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)
Mon Oct 12
 3.1: Derivatives of polynomials and exponentials
3.2: The product and quotient rules
Wen Oct 14
 3.3: Derivatives of trigonometic functions
3.4: The chain rule		 Due Noon Oct 21
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
Mon Oct 19 3.4: The chain rule
3.5: Implicit differentation
Wen Oct 21
 3.6: Derivatives of logarithmic functions
3.9: Related rates		 Due Noon Oct 28
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
Mon Oct 26
 3.10: Linear Approximations and differentials
4.1: Maximum and minimum values
Wen Oct 28 4.1: Maximum and minimum values
4.2: The Mean Value Theorem		 Due Noon Nov 11
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
Wen Nov 04
 4.3: How derivatives affect the shape of a graph
4.4: Indeterminate forms and L'Hospital
Mon Nov 09
 4.4: Indeterminate forms and L'Hospital
4.5: Summary of curve sketching		 Due Noon Nov 18
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
Wen Nov 11
 4.7: Optimization problems
Mon Nov 16
2nd Midterm
Covers the material up to and including 4.5.
Wen Nov 18
 4.8: Newton's method
4.9: Antiderivatives		 Due Noon Nov 25
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
Mon Nov 23 4.9: Antiderivatives
5.1: Areas and distances
Wen Nov 25
 5.2: The definite integral
5.3: The Fundamental Theorem of Calculus		 Due Noon Dec 02
5.2: 7, 17, 34, 36
5.3: 2, 7, 14, 29, 41
5.4: 12, 30, 32, 44, 47
 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
Mon Nov 30 5.3: The Fundamental Theorem of calculus
5.4: Indefinite integrals
Wen Dec 02
 5.5: The substitution rules Due Noon Dec 09
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
Mon Dec 07
 6.1: Areas between curves
Wen Dec 09 6.2: Volumes

Mon Dec 14
 Study days: Review Session
Wen Dec 23
Final Exam
Covers all the material of the lectures
and the corresponding sections of the book.
Location: ??????