Calculus I, Spring 2008, Section 3

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Section 003: Day/Time: Tuesday and Thursday 11:00 am-12:15 pm.
Location: Mathematics 203
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: Noah Youngs, Matt DeLand; 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.
Final exam: The projected exam schedule has not been posted yet. Keep checking final exam schedule for definite posting.; All students must take the final at the time scheduled by the university. The exam has been scheduled to be Tuesday, 05/13/2008 9:00am - 12:00pm in PUP 420. Note the change of room.
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 a box next to the first box.
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 have not been set yet. 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: Feb 1: End of Change of Program Period; Last Day to Add a Class; Last Day to Receive Tuition Refund for Class Dropped
Feb 26: Last Day to Drop a Class for most schools (Barnard, Columbia College, General Studies, SIPA, GSAS, and Continuing Education)
March 17-21: Spring Break
Mar 27: Last Day to Drop a Class for other schools
Mar 27: Last Day to Pass/Fail
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; email me if you find a problem)**
Date	Reading	Homework	Suggested problems
Tue Jan 22	1.1: Four ways to represent a function 1.2: A catalog of essential functions	Due Noon Jan 30 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 Jan 24	1.2: A catalog of essential functions 1.3: New functions from old functions
Tue Jan 29	1.5: Exponential functions 1.6: Inverse functions and logarithms	Due Noon Feb 6 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 Jan 31	2.1: The tangent and velocity problems 2.2: The limit of a function
Tue Feb 5	2.3: Calculating limits using limit laws 2.4: Precise definition of a limit	Due Noon Feb 13 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 Feb 7	2.4: Precise definition of a limit 2.5: Continuity
Tue Feb 12	2.6: Limits at infinity: horizontal asymptotes 2.7: Derivatives and rates of change	Due Noon Feb 20 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 Feb 14	2.7: Derivatives and rates of change 2.8: The derivative as a function	Due Noon Feb 20 2.6: 4, 22, 36 2.7: 6, 14, 28 2.8: 20, 24
Tue Feb 19	1st Midterm The midterm will cover the first two chapters. Example: dvi or pdf	Due Noon Feb 27 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 Feb 21	3.1: Derivatives of polynomials and exponentials 3.2: The product and quotient rules	Due Noon Feb 27 3.1: 34, 50(a,b), 67 3.2: 12, 14, 34
Tue Feb 26	3.3: Derivatives of trigonometic functions 3.4: The chain rule	Due Noon Mar 5 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 Feb 28	3.4: The chain rule 3.5: Implicit differentation
Tue Mar 4	3.6: Derivatives of logarithmic functions 3.9: Related rates	Due Noon Mar 12 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 Mar 6	3.10: Linear Approximations and differentials 4.1: Maximum and minimum values
Tue Mar 11	4.1: Maximum and minimum values 4.2: The Mean Value Theorem	Due Noon Mar 26 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 Mar 13	4.3: How derivatives affect the shape of a graph 4.4: Indeterminate forms and L'Hospital
Thu Mar 18	Spring break
Thu Mar 20	Spring break
Tue Mar 25	4.4: Indeterminate forms and L'Hospital 4.5: Summary of curve sketching	Due Noon April 2 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 Mar 27	4.7: Optimization problems		4.5: 2, 22, 31, 32, 54 4.7: 5, 11, 18, 38, 41
Tue Apr 1	Review of material till now 4.8: Newton's method	Due Noon April 11 4.8: 5, 40	4.8: 3, 5, 40
Thu Apr 3	2nd Midterm Covers the material up to and including 4.7. Example: dvi or pdf	Due Noon April 11 4.8: 5, 40	4.8: 3, 5, 40
Tue Apr 8	4.9: Antiderivatives	Due Noon April 16 4.9: 9, 12, 15, 34, 46 5.1: 4, 12, 17, 20	4.9: 2, 5, 9, 12, 15, 26, 34, 46, 47, 63 5.1: 4, 12, 17, 20
Thu Apr 10	5.1: Areas and distances	Due Noon April 16 4.9: 9, 12, 15, 34, 46 5.1: 4, 12, 17, 20	4.9: 2, 5, 9, 12, 15, 26, 34, 46, 47, 63 5.1: 4, 12, 17, 20
Tue Apr 15	5.2: The definite integral	Due Noon April 23 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 Apr 17	5.3: The fundamental theorem of calculus	Due Noon April 23 5.2: 7, 17, 34, 36 5.3: 2, 7, 14, 29, 41
Tue Apr 22	5.4: Indefinite integrals	Due Noon April 30 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 Apr 24	5.5: The substitution rules
Tue Apr 29	6.1: Areas between curves	Due Noon April 30 See box above this.
Thu May 1	7.1: Integration by parts	Due Noon April 30 See box above this.
Date:Unknown	Final Exam Covers all the material of the lectures and the corresponding sections of the book. Example: dvi or pdf	Tuesday, May 13 9AM--12PM	PUP 420 NOTE ROOM CHANGE.