21-118 Calculus of Approximation

Fall 99

Instructor: Jim Greenberg
                      Office:  Wean Hall 6105
                      Phone:   268-2545
                      E-mail:  greenber@andrew.cmu.edu
                      Office Hours:  MWF   1:30 PM - 2:30 PM

Teaching Assistant:Kerry Ojakian
                                      Office:  Wean Hall 7213
                                      Phone:  268-6540
                                      E-mail:  keo@andrew.cmu.edu
                                      Office Hours:  TuTh   10:30 AM - 12:00 PM

Text:  Calculus - Early Transcendentals
            4th Edition - James Stewart
            Brooks Cole - Publisher

 Note to Students Who Own the 3rd Edition of Stewart

Bring your copy of Edition 3 to Stella Andreoletti, Wean Hall Room 6116 and she will give you a copy of  Edition 4 in exchange for your copy of Edition 3.  You may use Edition 4 for 21-118 and for 21-259; if you plan to take the course.  When you are done with these courses, you must return Edition 4 to Ms. Andreoletti and she will give you back your copy of Edition 3.  This complicated transaction will spare you buying a second text.


Organizational Details

 
Assignments, Reference Material Source:  The course web page (URL) http://www.math.cmu.edu/users/nw0z/21118F99.html) contains office hours and other information, as well as the course syllabus.  In addition, all assignments, schedules, and announcements will be posted on the web page.

Homework:  Homework will be assigned weekly on Mondays (on the web page and in class handouts), and turned in at the beginning of Tuesday recitations during the following week.  Only the graded problems should be turned in, and of those 4-5 will be graded carefully.  I strongly urge you to attempt the drill problems, some of which will be discussed in class and answered in the book.  Late homework will not be accepted.

Tests:  Tests will be given in lecture (and are marked in the handout).  Tests will be closed book and no calculators.  Makeups will only be given in case of documented illness, family emergency or documented University-sponsored trips.  Permission to take a makeup has to be given by me (not your TA).  You will have one week from the day the test is handed back to appeal your grade.

Grading:  The final course grades will be assigned on the basis of the following computation:

                        Homework average                                20
                        Test with the higher score                     50%
                        Test with the lower score                      30%

Letter grades:  The highest possible grade cutoffs will be   R: < 59,  D:  60-69,  C:  70-79,  B:  80-89,  A:  90-100.

Cheating:  Any cheating (copying from another student, giving answers to another student, or use of unauthorized material) on a test or final exam will, at minimum, result in failure on that test.
 


 
 
 
Week
Date Sections Topics Problems Drill Graded Problems
1 8/23 4.4 Indet. Forms & 1-4,9,11,15,17,19,21,25,27 6,10,16,20,26
8/25 4.4 L' Hospital 29,31,50,51,57,59,71 30,52,58,72
8/25 4.9 Newtons 1,3,5,7,13,15,27,29,37,39 2,6,14,28,38
2 8/30 11.1 Sequences 1,3,7,9,11,13,19, 21,23 4,8,12,20,22
9/1 11.1 Sequences 31,33,49,51,55,57,65,66 32,50,56,66
9/3 11.2 Series 1,10,11,19,21,23,35,37,41 12,20,22,36,42
3 No Class
9/8 11.3 Integ. Test 7,9,15,17,19,21 8,16,20,22,38
9/10 11.4 Comp. Test 1,3,5,7,9,11,13,19,39,41 2,6,10,12,14,30,40,42
4 9/13 11.5 Alt. Series 1,3,5,7,11,13,17,19,27,29,31,33,35 8,12,14,18,30,34,36
9/13 Review (PM) Review (PM)
9/15 Test 1 Test 1
9/17 11.6 Ratio & Root Tests 1,5,11,13,19,21,29,31,33,35,37 3,12,14,20,30,32,34,36
5 9/20 11.7 Strategies All odd problems 2,4,10,16,18,22,34
9/22 11.8 Power Series 1,3,5,7,15,17,19,21,25,29 4,6,8,18,20,26,30,34-a,37,38
9/24 11.8 Power Series Same as above Same as above
6 9/27 11.9 Rep. of Fns.
as Power Series
3,5,7,11,13,15,17,19,21,25,31,33,35 4,6,8,12,16,20,26,32,34
9/29 11.10 Taylor  and
MacLaurin Series
3,5,7,9,11,13,15,21,23,25,29,37,
39,41,45,47,49,53
4,6,10,14,22,24,30,38,40,46,48,54
 
10/1 11.10 Taylor and 
MacLaurin Series
Same as above Same as above
7 10/4 11.12 Application of
Taylor Polynomials
3,5,7,9,15,27 4,6,8,16,28
10/6 Review Exercises on Pages 776
and 777.
10/6 Review  Do review exercises.
10/8 Test 

 
 

Download files:

bisect.m
newton.m
secant.m