Math 221: Calculus and Analytic Geometry I.
INSTRUCTOR:
Gloria MariBeffa.
office: 309 Van Vleck
email: maribeff AT wisc.edu
CLASS SCHEDULE: (Sep 03, 2013Dec 13, 2013)
LEC 003 : VAN VLECK B102, MWF 8:50AM  9:40AM;
LEC 002 : BIRGE 145, MWF 11:00AM  11:50AM.
 You are required to attend both lectures and discussion sessions.
 You are encouraged to read the corresponding sections of the textbook before each lecture.
DISCUSSION SESSIONS:
SYLLABUS
TEXTBOOK:
UW Madison Calculus text. Here are the Pdf file of the text with answers and hints to some of the exercises and errata to the text. You can buy printed copies at the reception desk on 2nd floor of Van Vleck. $17 each. Cash or check only.
GRADE POLICY:
 There will be two evening midterms (90 minutes long) and one final exam (2 hours long), each worth 100 points.
 Your overall grades will be based on two midterms (17% each), one final exam (31%), homework (10%), quizzes (15%) and group projects (10%). Roughly, the overall grades will be determined according to the following cutoffs A: 90, AB: 87, B: 76, BC: 74, C: 62, D: 50. The cutoffs may be adjusted at the end of the semester, but only in your favor.
EXAMS: Please let me know as soon as possible if you have conflicts with any of the following exams or if you need any accommodation.
 Makeups will be very rarely given. If you have a conflict, please let me know as soon as possible.
 You are NOT allowed to use books, calculators, computers, cellphones or any other electronic devices during exams. NO outside recources and NO colloboration during exams.
 Some old exams are available on the library website. You can also find some of my practice exams and review guides here.
 Midterm I: Thursday October 10 at 7:158:45pm. Review guide and practice problems for Midterm 1 can be found here. TAs' office hours and review session information can be found here. Solutions to our MT1 is here.
 Locations:
 Lecture 002(11am class):
 Please go to Birge 145 if your TA is Nathan Clement, Laura Cladek, or Yihe Dong
 Please go to Chamberlin 2103 if your TA is Jason Steinberg or Zhennan Zhou
 Lecture 003(8:50am class):
 Please go to VV B102 if your TA is Tseching Lien, Mona Jalal, or Jing Hao
 Please go to VV B130 if your TA is Ivan Ongay Valverde or Kyriakos Sergiou
 Midterm II: Thursday November 21 at 7:158:45pm, place to be announced.
 Final: Wesnesday, December 18 at 2:454:45pm, place to be announced.
GETTING HELP: Please take advantage of these various opportunities!
 Read the
Study Guide
written by Christelle Vincent
 If you need help with the course, first
talk to your TA, then to the instructor. If you cannot come to the
scheduled office hours, make an appointment to see either your TA or
the instructor at a different time.
 If you feel you have real trouble with the class early in the semester, you can ask your TA to refer you to the Early Alert System during the third week of classes. The system will have an adviser review your background and give recommendations on what you can do to improve the situation.

GUTS (free dropin peer tutoring)  Helen C. White Hall, 1st Floor,
Study Area or Student Activity Center, 4th Floor  check the
web page for location and time

Math Lab (free dropin help)  B227 Van Vleck,
Monday thru Thursday, 3:30  8:30 PM and now also on Sunday 3:30  6:50 PM

Math Tutorial Program (free smallgroup tutoring)
 see David Camacho in 321 Van Vleck (2636817) to find out if you
qualify. To apply, you need to fill out two forms available here.
 Math Board (find a studybuddy) 
opposite B207 Van Vleck
 Tutor List (find a tutor)  second floor of
Van Vleck (alas, only the list is free). This
Tutor List is
now available on line.
PROJECTS:
Throughout this semester, we will work on two or three group projects. These are longer homework problems for which you will work (outside of class) in groups of 3 or 4. The projects will be assigned in discussion session and they will be graded by your TA.
HOMEWORK and QUIZZES:
 Quiz policy
 Quizzes will be given weekly in discussion session on Thursdays. Each quiz consists of 2 or 3 problems on the material covered in the previous week, and quiz problems will be similar to homework problems due in the same week.
 The lowest two quiz grades will be dropped at the end of the semester. There will be NO makeup quizzes in general.
 Homework policy
 Homework will be assigned weekly and is due on Tuesdays at the BEGINNING of the discussion session.
 Even though homework is due weekly, you are encouraged to do the exercises of the corresponding sections after each class (to help you understand the material).
 Doing homework is an important part of learning the material. While you are encouraged to discuss homework problems with your classmates/friends, your written work MUST be your own. Copying is NOT helpful to learning.
 For each homework assignment, two randomly chosen problems will be graded and credit will be given based on the two problems graded as well as completeness. (A total of 20 points will be given for each assignment. 10 points for completeness, 10 points for correct solutions to graded problems.)
 Sometimes we will have online homework where you enter your answers online on the moodle webpage.
 The lowest two homework grades will be dropped at the end of the semester. Late homeworks will NOT be accepted.
 Homework assignments will be posted here weely.
 Homework 1 (due on Sep 10):
 P9: 1, 4, 8; P19: 3, 6, 14, 20, 21 (Hint: for 20, 21, finding where they intersect is equivalent to solving an equation. For a quadratic equation, when does it have two different real solutions, only one real solution, or no real solution?).
 Reading: Proof that root 2 is irrational.
 Two interesting videos: 9.999... reasons that .999... = 1 and Why Every Proof that .999... = 1 is Wrong
 Homework 2 (due on Sep 17):
 P19: 8, 9, 12; P2627: 1, 2 (Hint: the formula x^3a^3=(xa)(x^2+ax+a^2) is useful here), 7, 9, 10;
 Homework 3 (due on Sep 24):
 P35: 4, 14; P50: 1, 2, 4, 5, 7, 10, 12, 14, 15
 P50(For each of these three limits, specify if it is infinity, infinity, or neither): 6, 9, 11.
 P5051: 18, 23, 24
 Use Sandwich theorem to compute (1) the limit of x^2*cos(1/x) as x approaches 0 (2) the limit of cos(x)/x as x approaches infinity.
 Homework 4 (due on Oct 1):
 P5051: 17, 21, 26, 27, 28.
 P5354: 1, 2, 4, 6, 9, 10, 18, 22, 24; 26(a)(b), 27(a)(b); 29, 30
 P5657: 1(a)(c)
 Homework 5 (due on Oct 8):
 P63: 1, 8, 9, 11(do it for f, h, l), 12, 13, 14 (Due on Oct 8 in discussion)
 Do online Homework #1(close at Tuesday, October 8, 2013, 11:59 PM) on the moodle webpage.
 Homework 6 (due on Oct 15):
 P8384(section 16): 1, 11, 13, 24, 28
 P84(section 17): 1
 Wikipedia page of Descartes' folium
 As a courtesy, during lectures could you leave the desks in the very back of the classroom for our TAs to use? Thanks!!
 Homework 7 (due on Oct 22):
 Related rates problems: P8485: 2, 3(Hint: what is sin of that angle?), 5, 10(a), 16
 P89: 11.
 Use the Intermediate value theorem to (1) Show that x^4+3x^3+1=0 has a solution between 1 and 0. (2) Show that cos(x)=2x has at least one solution.
 P103104: 1, 2, 6, 8, 9, 11
 As a courtesy, during lectures could you leave the desks in the very back of the classroom for our TAs to use? Thanks!!

A picture of the Mean Value Theorem.
 Homework 8 (due on Oct 29):
 P104: (you don't need to find slanted asymptotes) 15, 24, 26, 38
 P105: 54 (Hint: First show that the equation has at least one solution by using the Intermediate value theorem. To show that there cannot be more than one solutions, look at the derivative of 3y+siny)
 P107: 1, 7, 11, 20(minmize the surface area), 21(minmize the surface area). For all optimization problems, you MUST show how you know your answer is optimal.
 Homework 9 (due on Nov 7):
 P115: Draw the curve in the xyplan and find all points with a horizontal tangent for 1(a), 1(c), 1(f), 1(g), 1(h)
 P117118: 1(a)(b)(c), 6
 P129: 27, 28, 29, 37, 38
From now on, please contact the replacement
instructors for questions relating to the course.
 Lecture 2: Gloria MariBeffa maribeff@math.wisc.edu
 Lecture 3: Gloria MariBeffa maribeff@math.wisc.edu