Calculus II (honors section)

Instructor:  Prof. Ilya Kapovich

Fall 2009 ;  MATH 231 Section F1H

MWF 2pm;  Henry Admin Bld 148

http://www.math.uiuc.edu/~kapovich/231-09/231-09.html

fire.gif  The 3-d Midterm Exam has been graded and the results have been posted via ScoreReports. Solutions for this midterm are available here. The median score was 73/100 and the average score was 73.2/100, with the standard deviation of 12.3%. The high score was 93/100 and the low score was 37/100. You can interpret the scores approximately as follows: A: 81-100; B: 67-80; C: 50-68; D: 37-51; F:0-36.



fire.gif  Solutions for the 2-nd Midterm Exam are available here.
The 2-nd Midterm has been graded and the results have been posted via ScoreReports. The median score was 75/100 and the average score was 74/100, with the standard deviation of 16.5%. The high score was 96/100 and the low score was 39/100. You can interpret the scores approximately as follows: A: 83-100; B: 69-82; C: 52-68; D: 40-51; F:0-39.


fire.gif  The 1-st Midterm Exam has been graded and the results have been posted via ScoreReports.  Solutions for the midterm are also availbvle. The average score was 80.1/100, with the standard deviation of 19.2% and the median score was 88/100.
While I do not assign formal letter grades for the midterms, you can interpret the scores approximately as follows: A: 88-100, B: 75-87, C: 60-74, D: 49-59; F:0-48.
If you received a score in the F range, I recommend that you seriously re-evaluate your standing in the class and consider the possibility of dropping it. Regardless of your score, I am happy to discuss your current class standing and progress during my office hours.

Anonymous on-line feedback form is available
 
 

 SCORE REPORTS -Math Department gradebook program where you can look up your h/work and exam scores. (You will be prompted for your NetId and password).
 


My office hours are Tuesday  10am-11:30am,  Thursday, 10am-11:30am (and at other times by appointment). You DO NOT need to tell me in advance if you want to see me during the office hours. If you want to come at a different time, you need to schedule an appointment. My office is located in Altgeld Hall, room 365.

 
The FINAL EXAM for this course is scheduled for 1:30-4:30pm, Friday, December 11 in our usual classroom. Please make sure now that this time is acceptable for you.  See the official university rules regarding exam conflicts here.

We will be using a Math Department "gradebook" program called the Score Reports. It will allow you to check on your h/works and exam scores. I'll post a link here as soon as the Math Office sets up the program for us.
 

Text:      Stewart,  Early Transcendentals (sixth edition)

Telephone: 265-0633
e-mail: kapovich@math.uiuc.edu. (Preferred method of reaching me!)
Office location: Altgeld Hall, room 365
Office hours:   Tue 10am-11:30am,  Th 10am-11:30am,  or by appointment  
Grader:    Jian Liang, liang41@illinois.edu
 

Homework assignments:

  1.  Due Friday,  Sept 4: Ch. 7.1 no. 6, 9, 15, 22, 33, 36;  Ch 7.2 no. 2, 5, 14, 28, 35
  2.  Due Friday,  Sept 11: Ch. 7.3 no.  5, 10, 17, 21, 34; Ch 7.4 no.  3, 5, 6, 16, 23, 33, 40
  3.  Due Friday, Sept 18: Ch. 7.5 no 3, 6, 8, 11, 21, 24, 33, 39; Ch. 7.7 no 9, 10, 19
  4.  Due Friday, Sept  25:  Ch.  7.8 no. 5, 10, 15, 24, 30  ; Ch 11.1  no. 16, 23, 26, 29, 32, 40
  5.  Due Friday, Oct 2: Ch 11.2 no. 21, 24, 27, 37;  Ch 11.3 no. 5, 6, 12, 19, 29, 30, 33
  6.  Due Friday, Oct 9: Ch. 11.4 no. 6, 7, 10, 21, 28; Ch. 11.5 no. 4, 7, 11, 15, 19, 24
  7.  Due Friday, Oct 16: Ch. 11.6 no. 6, 9, 12, 16, 23, 25; Ch 11.7 no. 9, 15, 21, 31, 33, 36
  8.  Due Monday, Oct 26: Ch 11.8 no. 9, 11, 16, 20, 26, 29;  Ch 11.9 no. 7, 15, 24, 29, 32
  9.  Due Friday, Nov 6: Ch. 11.10 no. 2, 7, 11, 13, 17, 34, 53, 56; Ch. 11.11 no. 15, 29, 35
  10.  Due Friday, Nov 13: Ch 10.1 no. 7, 12, 16, 19, 24; Ch 10.2 no.  7, 13, 18, 33, 42, 60
  11.  Due Friday, Nov 20: Ch. 10.3 no. 10, 19, 33, 43, 56, 61, 65; Ch. 10.4 no. 25, 30, 45, 46
  12.  Due Friday, December 4:  Ch 0.7 from Hubbard&Hubbard handout, no. 2, 3, 6, 9, 10, 11, 12, 15

                                                                                                         Honors homework assignments:

  1. Assignment 1, Due Wednesday, October 7
  2. Assignment 2, Due Wednesday, October 28: Ch 11.1 no 77, Ch. 11.3 no. 40; Ch 11.5 no. 36
  3. Assignment 3, Due Wednesday, December 2: Ch 11.10 no. 70, 71; Ch 11.11 no. 36

 Approximate Syllabus:

Chapter 7

7.1 Integration by Parts (include a brief review of elementary substitutions)
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.7 Approximate Integration
7.8 Improper Integrals

Chapter 11

11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series (and review)
11.8 Power Series
11.9 Representation of Functions by Power Series
11.10 Taylor and Maclaurin Series (2 lectures)
11.11 Applications of Taylor Polynomials

Chapter 10

10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves
10.3 Polar Coordinates (2 lectures)
10.4 Areas and Lengths in Polar Coordinates
10.5 Conic Sections (optional)

Available course material:

How this course is graded.

  • Students registered for this section of Math 231 must also be registered for Math 249, section Q1H (honors supplement). Your final grades for Math 231 and Math 249 will be identical.
  • There will be three one-hour midterm exams during the semester. Each of them counts  a maximum of 100 points.
  • The 1-st midterm is currently scheduled for Monday, September 21. The 2-nd Midterm is currently scheduled for Monday, October 19. The 3-d Midterm is currently scheduled for Monday, November 16.
  • The final exam counts a maximum of 250 points.  The final exam will take place on Friday, December 11, 1:30pm-4:30pm.
  • The homework  will be collected on Fridays.  Homework will be checked for completeness and several selected problems from each homework will be graded for correctness.  Homework contributes a maximum of 100 points towards you final score.  Late homework is generally not accepted! At the end of the term two low h/work grades will be dropped.
  • There will also be 3-4 additional honors homework assignments during the semester that may involve more difficult problems and will emphasize proof-writing. You will generally have more than one week to prepare these honors assignments and their due dates will be announced separately. The honors homoework assignments contribute a maximum of 75 points towards the final score. 
  • Thus your final course score  will be a maximum of 100+100+100+100+75+250=725 points. The final curve determining letter grade cut-off levels for the course will only be determined at the end of the term, but you should use the scale of the first midterm as a guide.
  • Although I expect you to regularly attend classes, non-attendance will not be penalized provided you do all the required course-work on time. HOWEVER, I take a very dim view of people coming in late or exiting the classroom early!!
  • For each of the midterm exams and for the final exam you are allowed to use: one  two-sided 8''x11'' "cheat-sheet" of notes and formulas and a calculator.
  • No textbooks or lecture notes are allowed on the exams.
  • The final exam will be cumulative and will include all the material covered during the course.
  • The final curve will be determined only at the end of the course.
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