Calculus I

Math 1271, Lec 010
Fall 2009

Instructor:
Tsvetanka Sendova
Time and Place:
MWF 9:05-9:55 in Anderson Hall 270
E-mail:
sendova@ima.umn.edu
Office:
Lind Hall 354
Office Phone:
(612) 626-0045
Office Hours:
MW 10:45-11:45AM, Th 3:00-4:00PM and by appointment


Textbook: Calculus, Early Transcendentals (6th edition) by James Stewart.
Final exam room assignments:  
Section Location
Dis 011 Folwell Hall 147
Dis 012 Folwell Hall 306
Dis 013 Folwell Hall 348
Dis 014 Folwell Hall 350
Dis 015 Folwell Hall 152
Dis 016 Folwell Hall 306

Announcements

  • Final exam: Thursday, December 17, 1:30 pm - 4:30 pm

  • IMPORTANT: You will need to bring your official University I.D. card with you at the time of the final exam and must show it to one of the proctors when handing in your exam. The proctor will NOT accept a final exam from a student without an I.D. Card.

    Be sure to know your recitation teacher's name in lecture/recitation courses, and your course and section numbers. You should bring identification to the final examination and should use #1 or #2 pencils for any machine graded portion of the examination.

  • Office hours on Tuesday, December 15, from 2:30 pm to 4 pm and Wednesday, December 16, from 2 pm to 4 pm (Lind Hall 354).

  • Extra review session scheduled for Wednesday, 12/16 from 9:00 am to 10:00 am in the usual classroom - Anderson Hall 270, as well as 10:10 am to 11:00 am in Anderson Hall 230.

  • Review problems for exam III.
  • Solutions to the review problems for exam III.
  • Practice Final Exam 1, Fall 2003     Very brief answers (courtesy of Alex Voronov) (pdf file)
  • Practice Final Exam 2, Fall 2004;     Solution key. Note - problem #16 has a typo in the solution - we only need to consider a semicircle, not a circle, so the final answer is 2ab=1.
        Answer key (pdf file) and solutions (pdf file) (courtesy of Multicultural Center for Academic Excellence)
  • Practice Final Exam 3, Spring 2005;     Solution key.     Answer key (pdf file) and solutions (pdf file) (courtesy of Multicultural Center for Academic Excellence). Be careful, there are typos.
  • Practice Final Exam 4, Fall 2005;     Answer key (pdf file) and solutions (pdf file) (courtesy of Multicultural Center for Academic Excellence)
  • More exams and their solutions can be found here http://www.mcae.umn.edu/acadsupport/exam.html


  • Teaching Assistants and Office hours 
    TA Time Location Phone e-mail
    Xiaoqing He Tu, Th 10:00AM-12:00PM Vincent Hall 360 625-4392 hexxx138@math.umn.edu
    Chung-I Ho Tu, Th 10:00AM-12:00PM Vincent Hall 422 625-8553 hoxxx090@math.umn.edu
    Yi Wang Tu, Th 10:00AM-12:00PM Vincent Hall 550 624-2838 wangx857@math.umn.edu


    Discussion sections 
    Section Time Location Teaching assistant
    Dis 011 Tu, Th 8:00-8:50 AM Vincent Hall 311 Yi Wang
    Dis 012 Tu, Th 8:00-8:50 AM Vincent Hall 2 Chung-I Ho
    Dis 013 Tu, Th 8:00-8:50 AM Vincent Hall 1 Xiaoqing He
    Dis 014 Tu, Th 9:05-9:55 AM Vincent Hall 1 Xiaoqing He
    Dis 015 Tu, Th 9:05-9:55 AM Vincent Hall 2 Yi Wang
    Dis 016 Tu, Th 9:05-9:55 AM Vincent Hall 311 Chung-I Ho


    Course Overview

    Tangent lines; limits and continuity; differentiation: definition, basic rules, chain rule, rules for trig, exp and log functions; implicit differentiation; rates of change, max-min, related rates problems; 2nd derivative test; curve sketching; linear approximation and differentials; L'Hospital's rule; integration: definition, antidifferentiation, area; simple substitution; volumes of solids by cross sections and shells; work; average value of a function. (4 credits, 3 lectures + 2 recitations per week)
    Prerequisite: 4 years high school math including trig, or C- in Math 1151 or 1155, or placement exam.
    Caution:
  • Students should not take Math 1271 unless they have a good understanding of trigonometry. Students without an adequate background in trigonometry might not notice much difficulty at the beginning of the course. However, this knowledge is required later in the course and when serious difficulty is encountered, it will be too late to switch to Math 1151.
  • Students with some calculus background might, on the basis of easily understanding the early part of the course, develop bad study habits that will lead to many difficulties later in the course.

    Homework Assignments

  • The homework assignments are given on the course web page (with due dates as listed in the table below).
  • They will be collected in the discussion sections by your teaching assistant.
  • If the assignment is turned in after the due date without a valid university excuse it will be considered late. Late assignments will not be accepted.
  • Write all your work and answers clearly and concisely. To receive full credit, you must show work on the questions.
  • All homework must have your name and section number.
  • All additional pages must be stapled in the left hand corner and have your name in the right hand corner.

    Homework #
    Assignment
    Due Date
    #1 Sect. 1.1 - 5-8, 24, 29, 36
    Sect. 1.3 - 3, 19, 31, 54
    Tue, 09/15
    #2 Sect. 1.6 - 38, 48
    Sect. 2.1 - 6
    Thu, 09/17
    #3 Sect. 2.2 - 6, 8, 10, 14, 21, 25, 32, 40
    Sect. 2.3 - 12, 15, 17, 20, 21, 22, 24, 26, 35, 37, 40, 46
    Tue, 09/22
    #4 Sect. 2.5 - 3, 7, 32, 35, 38, 41, 49 Thu, 09/24
    #5 Sect. 2.6 - 3, 8, 16, 18, 22, 26, 33, 35, 40, 55
    Sect. 2.7 - 1, 7, 11, 13, 21, 32, 43
    Tue, 09/29
    #6 Sect. 2.8 - 3, 13, 21, 24, 38, 43, 49 Thu, 10/01
    #7 Sect. 3.1 - 4-32 - even, 34, 49a, 51, 55, 77 Tue, 10/06
    #8 Sect. 3.2 - 2, 4, 6, 18, 20, 22, 23, 25, 28, 34, 44, 54
    Sect. 3.3 - 2-16 - even, 19, 24, 33, 35, 39, 40, 46
    Tue, 10/13
    #9 Sect. 3.4 - 9, 12 , 13, 14, 17, 20, 29, 35, 36, 42, 44, 54, 59, 71 Thu, 10/15
    #10 Sect. 3.5 - 1, 4, 5, 9, 12, 14, 16, 20, 21, 24, 26, 40, 50, 52
    Sect. 3.6 - 4, 6, 12, 14, 18, 22, 25, 29, 34, 38-48 - even
    Tue, 10/20
    #11 Sect. 3.7 - 4, 12, 24, 29
    Sect. 3.8 - 1, 3, 5, 18, 20
    Thu, 10/22
    #12 Sect. 3.9 - 1, 2, 5, 9, 13, 17
    Sect. 3.10 - 2, 4, 14, 24, 25, 27, 29, 31, 40
    Tue, 10/27
    #13 Sect. 4.1 - 5, 6, 7, 10, 17, 20, 22, 23, 28, 31, 34, 35, 43, 51, 53, 55, 66b
    Thu, 10/29
    #14 Sect. 4.2 - 1, 3, 5, 12, 14, 16, 17, 23, 31, 34 Tue, 11/03
    #15 Sect. 4.3 - 1, 2, 6, 7, 9, 12, 18, 20, 24, 31, 37, 41, 44, 45, 51
    Sect. 4.4 - 1, 2, 3, 4, 6, 7, 10, 17, 18, 19, 20, 25, 26, 39, 51, 52, 59, 62
    Thu, 11/05
    #16 Sect. 4.5 - 13, 23, 31, 35, 41, 43, 49 Tue, 11/10
    #17 Sect. 4.7 - 3, 11, 13, 16, 19, 36
    Sect. 4.8 - 1, 3, 4, 5, use a calculator for 13
    Tue, 11/17
    #18 Sect. 4.9 - 3, 6, 8, 12, 15, 20, 24, 26, 33, 46, 52, 53, 57, 62, 72
    Sect. 5.1 - 3, 11, 15, 17, 18
    Thu, 11/19
    #19 Sect. 5.2 - 11(do not evaluate), 17, 19, 29, 34, 35, 37, 47, 49, 61, 62
    Sect. 5.3 - 3, 13, 18, 19, 23, 29, 35, 36, 39, 53, 55
    Tue, 11/24
    #20 Sect. 5.4 - 1, 3, 6, 9, 11, 12, 14, 22, 25, 27, 30, 33, 37, 49, 52, 54, 55 Tue, 12/1
    #21 Sect. 5.5 - 3, 6, 9, 12, 13, 18, 19, 21, 30, 33, 52, 53, 57, 61, 63, 65, 79, 81
    Sect. 6.1 - 1, 3, 5, 6, 9, 14, 15, 20, 25, 27, 29, 45, 48
    Thu, 12/3
    #22 Sect. 6.2 - 1, 3, 5, 9, 13, 17, 35, 41, 43, 65 Thu, 12/10
    #23 Sect. 6.3 - 1, 3, 5, 7, 9, 13, 15, 21, 23, 29, 31, 37
    Sect. 6.5 - 1, 5, 7, 9, 13, 18
    Tue, 12/15

    Some lecture notes

    Section 1.1

    Quizzes

    There will be a quiz on the Thursday of each week (except for exam weeks). The problems in the quizzes will be similar to homework problems.

    Math 1271 Reference Information

  • Syllabus
  • Additional Help:
  • Exams

    You are expected to attend lectures and recitations. If you miss a test for any university excused absence, you need to notify me no later than the day after the test to set up a time for a makeup. Any question regarding grading/scoring must be done within one week of the return of the exams or no change in the grade will be made.
  • The midterm exams and the final exam are closed book and without notes.
  • Graphing calculators are NOT allowed on exams. No electronic devices may be accessible to any student during an exam. This includes cell phones and sufficiently sophisticated watches in addition to calculators and other machines. The instructor or proctor reserves the right to require, at the instructor's or proctor's discretion, that any electronic device be put away. Failure to comply is considered cheating by Institute of Technology policy.
    Exam dates:  Midterm Exams:
    Exam 1: Tuesday, October 6 (Sections 1.3, 2.1-2.8, 3.1). 
    Exam 2: Tuesday, November 10 (Sections 3.2-3.10, 4.1-4.5). 
    Exam 3: Tuesday, December 8 (Sections 4.7-4.9, 5.1-5.5, 6.1).
    Final Exam: 
    Thursday, December 17, 1:30-4:30pm, location to be announced. 
    Grading Policy: The course grade will be computed according to the following weighting system:
    Recitation (14% from quizzes and 6% from homework)............20% total  
    Midterm Exams .................................................................15% Each (45% total)
    Final Exam ....................................................................... 35%
    Tentative schedule and suggested problems: Listed below are practice problems for each section of the book. It is strongly suggested that you do all of them, and also try other ones out of the book for further practice. The recitation grade will be determined partly by the homeworks, and partly by short quizzes given most weeks in recitations.  
     
    TENTATIVE SCHEDULE FOR Math 1271: Fall 2009
    Week Dates Sections Suggested practice problems
    1   9/9,11   Chap. 1 Misc.
    2.1  
    Sect. 1.1 - 10, 25, 26, 28, 30, 40, 44, 57, 59
    Sect. 1.2 - 4, 19, 20
    Sect. 1.3 - 4, 32, 35, 36, 53
    Sect. 1.5 - 1, 7, 8
    Sect. 1.6 - 23, 26, 37, 50, 57  
    2   9/14,16,18   2.2
    2.3
    2.5  
    Sect. 2.2 - 4, 9, 13
    Sect. 2.3 - 1, 2, 10, 11-30, 36, 38, 42, 48
    Sect. 2.5 - 4, 15-20, 36, 37, 42, 43, 46, 48, 64, 65  
    3 9/21,23,25   2.6
    2.7
    2.8  
    Sect. 2.6 - 4, 7, 10, 15-36
    Sect. 2.7 - 5, 8, 12, 14, 27, 30, 31, 33, 36, 45, 46
    Sect. 2.8 - 20, 22, 25, 35-37, 41, 42, 53, 54  
    4 9/28,30
    10/2  
    3.1
    3.2
    3.3  
    Sect. 3.1 - 3-31 - odd, 33, 35, 36, 46, 54, 64
    Sect. 3.2 - 1, 19, 21, 24, 26, 30 ,31, 32, 33, 43
    Sect. 3.3 - 1-15 - odd, 17, 18, 22, 23, 41, 42, 43, 48  
    Exam 1   Tues 10/6   Chapter 2, Sect. 3.1   in discussion section  
    5 10/5,7,9
     
    Review for Exam 1
    3.4
    3.5  
    Sect. 3.4 - 38, 41, 45, 49, 51, 60, 61, 72
    Sect. 3.5 - 2, 3, 17, 18, 19, 22, 23, 27, 28, 34, 41, 54, 60, 62, 69  
    6 10/12,14,16
     
    3.6
    3.7
    3.8  
    Sect. 3.6 - 15, 17, 19, 21, 24, 26, 29, 30, 33, 37-47 - odd
    Sect. 3.7 - 3, 9, 11, 20, 21, 23
    Sect. 3.8 - 2, 4, 19  
    7 10/19,21,23
     
    3.9
    3.10
    4.1  
    Sect. 3.9 - 3, 7, 12, 14, 15
    Sect. 3.10 - 1, 3, 12
    Sect. 4.1 - 11, 12, 32, 38, 44, 49, 54, 59, 68b  
    8 10/26,28,30
     
    4.2
    4.3  
    Sect. 4.2 - 4, 13, 18, 24, 25, 33
    Sect. 4.3 - 5, 8, 17, 21, 23, 28, 36, 42, 47, 72, 75  
    9 11/2,4,6
     
    4.4
    4.5
    4.7  
    Sect. 4.4 - 14, 22, 28, 30, 40, 42, 46, 55, 57
    Sect. 4.5 - 18, 24, 30
    Sect. 4.7 - 22, read problems 42, 43  
    10 11/9,11,13
     
    Review for Exam II
    4.8
    4.9  
    Sect. 4.8 - use a calculator for 11, 15
    Sect. 4.9 - 14, 18, 28, 40, 75  
    11 11/16,18,20
     
    5.1
    5.2
    5.3  
    Sect. 5.1 - 1,
    Sect. 5.2 - 1, 38, 39, 42
    Sect. 5.3 - 17, 20-42 - even, 57, 65  
    12 11/23,25
     
    5.4
    5.5  
    Sect. 5.4 - 2, 4, 15, 17, 18, 28, 31, 36, 51
    Sect. 5.5 - 1, 2, 4, 5, 7, 11, 15, 17, 22, 32, 74  
    13 11/30, 12/2,4
     
    6.1
    6.2
    6.3  
    Sect. 6.1 - 2, 4, 22, 26
    Sect. 6.2 - 11, 12
    Sect. 6.3 - 38-42  
    14 12/7,9,11
     
    Review for Exam III
    6.5
    Catching up  
    Sect. 6.5 - 14, 16  
    15 12/14,16
     
    Review for Final    
    Final Exam   Thurs 12/17   Covers whole course   1:30-4:30 pm, location to be announced  


    Official University Statement on Academic Dishonesty: Academic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or N for the entire course.

    Official University Statement on Credits and Workload Expectations: For undergraduate courses, one credit is defined as equivalent to an average of three hours of learning effort per week (over a full semester) necessary for an average student to achieve an average grade in the course. For example, a student taking a three credit course that meets for three hours a week should expect to spend an additional six hours a week on coursework outside the classroom.

    Statement on Incompletes, S/N: The grade "I" is assigned only when a student has satisfactorily (a C grade or better) completed all but a small portion of the work for the course, and has made prior arrangements to complete the work. This means, for example, if you quit attending class after the second exam, and then request an "I" in the tenth week, your request will be denied. You will fail the course. To obtain an S, you need at least a C- grade.

    Scholastic Conduct: Each student should read his/her college bulletin for the definitions and possible penalties for cheating. During the exams you must do your own work. Students suspected of cheating will be reported to the Scholastic Conduct Committee for appropriate action.

    Complaints: You can address any complaints about your TA to me. You can address complaints about your lecturer to the Undergraduate Head, Professor Larry Gray, Vincent Hall 115.