Instructor: Melanie Matchett Wood
Office Hours:
 Monday 10:5511:55 in 305 Van Vleck. (None May 12)
 Wednesday 10:5511:55 in 305 Van Vleck.
 Friday 99:45 in 305 Van Vleck.
 Friday 10:5511:55 in 305 Van Vleck.
Lectures:
 Lec 001 MWF 9:5510:45am in B102 Van Vleck.
 Lec 002 MWF 12:0512:55pm in B102 Van Vleck.
The lecture schedule is posted below. You are not allowed to have laptops, cellphones or camera out during lecture. You must also be enrolled in and attend a section for this course.
Course Webpage: http://www.math.wisc.edu/~mmwood/222.html
TA Webpage (inlcudes TA office hours, review sessions, homework and exam solutions):
https://www.math.wisc.edu/wiki/index.php?title=Math_222_Spring_2014_Lectures_1_and_2
Course Description:
This course will cover second semester calculus, including: techniques of integration; improper integrals; Taylor expansions; elementary differential equations; sequences and series; and an introduction to vectors.
Text:
There is a required course pack based on departmental notes. Instructions for purchasing your course packet with the Math Department can be found at this URL:
https://www.math.wisc.edu/calculuscoursematerials.
They will take cash (exact change appreciated), WisCard, or online payment. Users who do the online Cashnet purchase MUST bring a copy of their email receipt and a photo ID with them to pick up their course packet.
If you have questions concerning your course packet sale, contact copycenter@math.wisc.edu.
Communication: Your TA is your first stop for any questions you have about the organizational aspects of the course. Your TA is also a great resource for questions about the course material as well. The best way to talk to the professor is in person during office hours or before or after class, and this is encouraged. Professor Wood's email is mmwood at math dot wisc dot edu, but email is an extremely poor medium for discussing mathematics and most brief administrative questions can be handled more efficiently with your TA or in person (exceptions to this are exam conflicts and special accommodations as discussed below).
Quick links
Grade
Breakdown:
 Section: 5%.
 Exam 1: 25%.
 Exam 2: 25%.
 Final Exam: 45%.
Grades will be posted in Learn @ UW.
Section grades consist of homework and quizzes. You will have homework due every Thursday in section and a quiz every Tuesday in section.
Quizzes:
There are no makeup quizzes, however, we will automatically drop your two lowest quiz scores. (There are no notes or texts used during quizessee below for exams.)
Homework problems:
There will be weekly homework assignments posted on this website, and due at the beginning of section each Thursday. Late homework will not be accepted. If you need to miss a class on Thursday, you are expected to make arrangements with the TA to turn in your homework ahead of time.
You are encouraged to discuss questions with each other
or to come to office hours for help. After discussion with others, writeups must be done separately.
In practice, this means that you should not be looking
at other students' solutions as you write your own.
Use examples in the book as a model for the level of detail expected.
Reading homework:
You are also responsible for reading the textbook on your own.
The lecture schedule below shows which sections
of the book will be covered in this course, and when we will cover those sections.
If a section is included on that list, then every part of that section is a part of the course
and may be relevant to the exams.
Show your work! Unless otherwise stated, you are always expected to justify your answer (i.e. show your work). This holds for homework, quizzes, and exams.
How to improve your performance: Calculus is something you can get better at with more practice, and the best way to improve your performance in the class is to spend more time practicing. Practicing means doing sample problems from the book, from old exams, or anywhere else you find them. If you need help figuring out what or how to practice, see the next section. Reading your notes and the book is important and will explain to you what you need to practice, but after you have read that, to get better you must practice, practice, practice!
Help is available! If you are concerned about your performance in the course, it is best to get extra help as soon as possible. There are lots of available resources for extra help . See below.
Exams
There will be two midterm exams. If you have another UW course that conflicts with the exam, send an email to your TA with subject "Math 222 Exam 1 Conflict" or "Math 222 Exam 2 Conflict" no later than February 7. Other classes are the only conflicts that will be considered, and conflicts will not be considered after February 7. (Send two emails if you have two conflicts.) Arrive early and bring your ID to each exam.
 Exam 1: Thursday, February 27 , 7:308:30pm.
 If you are in Lec 001 MWF 9:5510:45am then you will take the exam in 3650 Humanities.
 If you are in Lec 002 MWF 12:0512:55pm, then you will take the exam in 125 Ag Hall.
 Exam 2: Tuesday, April 8, 5:456:45pm.
 If you are in Lec 001 MWF 9:5510:45am then you will take the exam in 3650 Humanities.
 If you are in Lec 002 MWF 12:0512:55pm, then you will take the exam in 125 Ag Hall.
 Final Exam: Tuesday, May 13, 7:459:45am (covering the entire course).
 If you are in Lec 001 MWF 9:5510:45am then you will take the exam in SOC SCI 6210.
 If you are in Lec 002 MWF 12:0512:55pm, then you will take the exam in INGRAHAM B10.
Books, ipods, cellphones, computers, headphones, and calculators will not be permitted for exams. You will be allowed one 3x5 index card (writing on both sides is okay). Bring ONLY your student ID, index card, and pencils or pens to all exams.
Past exams Here is a link to some past exams for Math 222:
http://math.library.wisc.edu/reserve/222.html. Note that the material covered in other courses may differ slightly.
Academic Dishonesty:
Students in this class have the right to expect that their fellow students are upholding the academic integrity of this University. Academic dishonesty is a serious offense at the University because it undermines the bonds of trust and honesty between members of the community.
On homework assignments, academic dishonesty includes but is not limited to: copying other students' homework or copying homework answers from the internet. On quizzes and exams, academic dishonestly includes but is not limited to: looking at another students' work, making use of a disallowed reference during an exam, or looking at a cellphone for any reason (even if it's just to check the time) during an exam.
We treat all incidents of academic dishonesty very seriously. For instance, the consequences for cheating on an exam may range from automatically failing the course to suspension or expulsion. We will not hesitate to initiate disciplinary procedures should such a case arise.
Accommodations:
In general, it is your responsibility to inform me and your TA
as far in advance as possible
in case of an unavoidable conflict with an exam,
in case of an extended absence,
or in case you find yourself struggling with the course for any
other reason.
In addition, please note: I wish to fully include persons with disabilities in this course. Please email your TA with subject "Math 222 Accommodations" regarding
special accommodations in the curriculum, instruction, or assessments of this course that may be necessary to enable you to fully participate in this course. Special accommodations for individuals with obvious or documented disabilities require 2 weeks advance notice.
Background
From the start of this course, you will need to be familiar with standard topics from first semester calculus, including: the rules of differentiation; definite integrals and indefinite integrals; basic methods of integration, including integrals of polynomials, trig functions, etc; the method of usubstitution.
If you are concerned about your background for this course, you may want to review some of the material
from Math 221. You can obtain a Math 221 textbook in the same manner that you obtained your Math 222 textbook. In addition, you can
look at old Math 221 exams here: http://math.library.wisc.edu/reserve/221.html.
Expectations:
We expect each student and each instructor to be respect of all of the students and instructors involved in this course.
For instance, we expect students to refrain from behaviors that are disruptive to your instructors and your fellow students, including: showing up late to lecture or section on time, playing with electronic devices during lecture or section, or leaving early.
The following lecture schedule may be updated during the semester.
 Jan 22: I.1: Definite and Indefinite Integrals
 Jan 24: I.3: Double angle formulas
 Jan 27: I.5: Integration by parts
 Jan 29: I.6: Reduction formulas
 Jan 31: I.8: Partial fractions 1
 Feb 3: I.8 Partial fractions 2
 Feb 5: I.10: Trig substitution 1
 Feb 7: I.11: Trig substitution 2
 Feb 10: I.12: Trig substitution 3
 Feb 12: Review of integration methods
 Feb 14: II.12: Improper integrals 1
 Feb 17: II.23: Improper integrals 2
 Feb 19: II.5: Estimating improper integrals 1
 Feb 21: II.5: Estimating improper integrals 2
 Feb 24: Review
 Feb 26: Reserved for makeup exams
 Thursday, Feb 27: Exam 1
 Feb 28: III.12: What is a differential equation?
 Mar 3: III.3: First order separable equations
 Mar 5: III.5: First order linear equations, 1
 Mar 7: III.5: First order linear equations, 2
 Mar 10: III.78: Direction fields
 Mar 12: III.10: Applications of differential equations
 Mar 14: IV.12: Taylor polynomials, 1
 Mar 24: IV.3: Taylor polynomials, 2
 Mar 26: IV.5: Remainder term
 Mar 28: IV.6: Remainder term
 Mar 31: IV.11: Differentiating and Integrating Taylor Polynomials
 Apr 2: V.12: Sequences
 Apr 4: Review
 Apr 7: Review
 Tuesday, Apr 8: Exam 2
 Apr 9: Reserved for makeup exams
 Apr 11: V.4: Series
 Apr 14: V.5: Convergence of Taylor series, 1
 Apr 16: V.5: Convergence of Taylor series, 2
 Apr 18: Convergence Tests
 Apr 21: VI.12: Intro to vectors
 Apr 23: VI.3: Lines and planes
 Apr 25: VI.4: Vector bases
 Apr 28: VI.5: Dot product
 Apr 30: VI.6: Cross product
 May 2: VI.78: Applications of cross product
 May 5: Vector review
 May 7: Final exam review.
 May 9: Final exam review.
Homework assignments will be due on Thursday in your section. The assignments may be adjusted during the semester. An asterisk denotes a problem that is unusual or more involved.
 Week 1 (due Jan 23):
 Week 2 (due Jan 30):
 I.4: 1,4,6,12,13
 I.7: 1,2,4,6,7(a)7(d),9,13,15,19,21*.
 Week 3 (due Feb 6):
 I.9: 1(b),1(d),2(a), 3, 4,6,7,12,13,18,21,23.
 I.13: 1,2.
 Week 4 (due Feb 13):
 I.2: 3
 I.7: 5,20,21
 I.9: 15
 I.13: 3*,4,7,15.
 I.15: 3,8,34,35,38,43,44
 Week 5 (due Feb 20):
 II.4: 1,2,4,5,7,10,12,13,15*,,20,21
 II.6: 2,3,5,7.
 Week 6 (HW will not be collected during exam week):
 II.6: 6,8,9,10,14,15.
 I.15: 2,5,13,22,27,31, 42.
 Week 7 (due Mar 6):
 III.4: 1,2,3,4,5,6,7,8.
 III.6: (do not need to specify diff eq that integrating factor satisfies) 1,2,3,4.
 Week 8 (due Mar 13):
 III.6: (do not need to specify diff eq that integrating factor satisfies) 5,6,9,10,11,13,16.
 III.9: 1,2,3.
 III.11: 1,2,3
 Week 9 (due March 27):
 III.11: Prob 3 Create 3 different models for the rabbit population (you did at least one last week). (Hint: only 2 models should use calculus.) What does each model predict for part (b)? Explain the differences in the assumptions and approximations in the models that account for the different predictions. For each model, are there circumstances in which it would be the best model and what are they?
 III.11: 6,7,8,9
 IV.4: 1,2,4,7,15, For the following compute T_8f(x) (that's the 8th Taylor polynomial, not the Taylor series as requested by the book) and either give a formula or describe the pattern in words for the coefficient of x^n in T_n f(x): 19,27,35.
 Week 10 (due Apr 3):
 IV.7: 1,2,3,4,5
 IV.11: 1,2,3,4,5,6
 V.3: 2,4,6.
 Week 11 (HW will not be collected during exam week, but is good exam review!):
 IV.4: For the following compute T_8f(x) (that's the 8th Taylor polynomial, not the Taylor series as requested by the book) and either give a formula or describe the pattern in words for the coefficient of x^n in T_n f(x): 18,22,23,25,29.
 V.3: 1,3,5,6,7,8,9,10*.
 Week 12 (due Apr 17):
 V.6: 1,2,4,5,7,8(Hint: try a partial fraction decomposition before taking derivatives),11,13,For the following two problems, instead of "Show that the Taylor series converges" you need to find a series whose partial sums are polynomials in x that converges to f(x): 15,16.
 Week 13 (due Apr 24):
 Week 14 (due May 1):
 Vector bases Worksheet
 VI.11:1,2,3.
 VI.12: 1,2,3,5,6.
 VI.13: 1(a)1(d),2(a)2(d),4,6,8(a)8(d).
 Week 15: study for the exam!
Don't stay confused. There are several resources available when you want some help outside of lecture and discussion:
 TA office hours. see here.
You may attend the office hours of any TA for this course.
 My office hours: given above
You are encouraged to attend!
 Email your TA: Email is a good way to communicate logistics about the course, but it is not a great medium for explaining class material or helping with homework problems. In nearly all cases, you are better off asking your question in person in office hours or in the Math Lab. If you are asking for help with homework, you must precisely explain what you have tried already. Any question requiring more than 12 sentence response should instead be addressed in person. Note that a lack of response is not a reason for an extension on a homework assignment.
 Mathematics Tutorial Program: Free small group tutoring is offered to students who are in danger of getting a D or F, for students who have not had a math course in several years, or for students who are retaking the course. A significant time commitment is required. Any student can apply to the program, but after the first two weeks of the semester, a referral from an instructor is required. Students may apply in room 321 Van Vleck.
 Math Lab: a free, dropin tutorial program in B227 Van Vleck. Tutoring is available Monday through Thursday from 3:30–8:30PM and Sunday 3:30–6:50PM.
 Tutoring in University Residence Halls: free, dropin math tutoring is available every evening Sunday–Thursday at various residence halls. This table has more information.
 GUTS: Greater University Tutoring Service offers free small group, individual, and dropin tutoring at various locations around campus. It is staffed mostly by student volunteers. Stop by their office (333 East Campus Mall, Rm. 4413) to sign up for a tutor or try dropin tutoring.
 Private Tutors: A list of tutors is available at the link or from the receptionist on the second floor of Van Vleck.
(Most of this information was taken from the Getting help in your math class page.)
Sections
For office hours, see here.
Lecture 001 
Name 
Email 
Discussion Sections 
Yuan Liu 
liu459 at wisc dot edu 
301 and 304 

Zheng Lu 
zlu59 at wisc dot edu 
302 and 306 

Thomas Morrell 
tamorrell at wisc dot edu 
303 and 305 

Kejia Wang 
kwang54 at wisc dot edu 
308 and 312 

Ivan Ongay Valverde 
ongayvalverd at wisc dot edu 
311 and 313 

Manik Aima 
aima at wisc dot edu 
314 

Lecture 002 
Name 
Email 
Discussion Sections 
Manik Aima 
aima at wisc dot edu 
321 

Zachary Charles 
zcharles at wisc dot edu 
322 and 324 

Adrian Tovar Lopez 
tovarlopez at wisc dot edu 
325 and 333 

Angelica Resendiz Mora 
resendizmora at wisc dot edu 
326 and 328 

Michelle Mason Soule 
msoule at wisc dot edu 
327 and 332 

Ethan Joseph McCarthy 
ejmccarthy at wisc dot edu 
329 and 331 
