Fall 2017: Calculus and Analytic Geometry 2 (Math 222)

Botong Wang, Assistant Professor, (wang@math.wisc.edu)

Discussion section 301 and 303: Wang, Niudun (nwang66@wisc.edu)
Discussion section 305 and 307: Geske, Christian (cgeske@wisc.edu)
Discussion section 306 and 309: Choi, Hanna (hchoi226@wisc.edu)
Discussion section 308 and 311: Li, Yingda (yli678@wisc.edu)
Discussion section 314: Makuluni, Tamvana (makuluni@wisc.edu)
Discussion section 315: Dsouza, Keith (kdsouza@wisc.edu)

TTh 9:30-10:45AM, Room VAN VLECK B102

Section	Time	Location	Teaching Assistant
301	MW 7:45-8:35AM	B305 Van Vleck Hall	Wang, Niudun
303	MW 8:50-9:40AM	B105 Van Vleck Hall	Wang, Niudun
305	MW 9:55-10:45AM	B119 Van Vleck Hall	Geske, Christian
306	MW 9:55-10:45AM	B123 Van Vleck Hall	Choi, Hanna
307	MW 11:00-11:50AM	B105 Van Vleck Hall	Geske, Christian
308	MW 11:00-11:50AM	B203 Van Vleck Hall	Li, Yingda
309	MW 12:05-12:55PM	B215 Van Vleck Hall	Choi, Hanna
311	MW 3:30-4:20PM	B105 Van Vleck Hall	Li, Yingda
314	MWF 9:55-10:45AM	B321 Van Vleck Hall	Makuluni, Tamvana
315	MWF 12:15-1:05PM	B321 Van Vleck Hall	Dsouza, Keith

Instructor / TA	Disscusion Section	Time	Location
Botong Wang	Lecture	Tue and Thu: 2-3PM	403 Van Vleck Hall
Wang, Niudun	Section 301 and 303	Mon and Wed: 1:10-2:10PM	418 Van Vleck Hall
Geske, Christian	Section 305 and 307	Mon 12-1PM and Tue: 11-12PM	716 Van Vleck Hall
Choi, Hanna	Section 306 and 309	Tue 11-12PM and Fri 10-11AM	616 Van Vleck Hall
Li, Yingda	Section 308 and 311	Mon: 14:15-15:15PM and Wed: 2:20-3:20PM	522 Van Vleck Hall
Makuluni, Tamvana	Section 314	Tue: 5-6PM and Fri: 1-2PM	516 Van Vleck Hall
Dsouza, Keith	Section 315	Mon: 2:15-3:15PM and Fri: 11AM-12PM	820 Van Vleck Hall

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.

There is no commercial textbook for Math 222. Instead we use the math department Calculus Notes, which can be bought in room B227 Van Vleck Hall during the first week of class, or at the reception desk on the 2nd floor thereafter. Our textbook is also available here.

Piazza: You can ask questions through the Piazza site, which is accessible through this link. This is a great place to ask both logistical questions and homework questions. Below it says how to sign up. Piazza questions can be answered by other students or by the instructors, and so often you'll get a quick response. Plus, the answers will be visible to all students. I will check this site a few times per week.

Homework: 10%
Quizzes at discussion session: 10%
Midterm 1: 20%, Midterm 2: 20 %, Final exam: 40%.
The final grade will be curved.
The homework will be assigned weekly on Tuesday and will be posted online (see bellow), and due on the discussion session the following Wednesday.
There will be weekly quizzes on Wednesday. The lowest homework and quiz grade will be dropped.
All homework, quiz, exam grades will be available on Canvas.

Midterms 1 and 2 will be in class. The first Midterm will be on October 12, and the second Midterm will be on November 16. The final exam will be on Saturday, December 16, from 7:25pm to 9:25pm. The location of the final exam will be announced later. There will be a review session on the evening before each exam. The first review session will be 7:00-8:30pm on Oct 11 at VV B102 by Niudun Wang, and the second review session will be 7:00-8:30pm on Nov 15 at VV B102 by Hanna Choi. The last review session will be at 2241 Chamberlin Hall 7-8:30pm Dec 15.

All exams are closed book exams. Books, tablets, cellphones, computers, headphones, and calculators will not be permitted for exams. Bring ONLY your student ID, and pencils or pens to all exams.

If you are eligible for special consideration on exams, please let me know as soon as possible, so that I can ensure that your needs are accommodated.

Make-up exams will be considered only if there is a conflict with another university-related event, or a last-minute medical/family emergency. In the former case you need to contact me or your TA as soon as possible. In the later you need to show proof of such emergency (doctor's notes, for example).

Some old exams and practice exams can be found here.

Midterm one practice exam.Answer.

Midterm two practice exam.Answer.

Practice final exam. Answer.

Where there is a conflict with other university-related events, students are allowed to submit homework earlier than deadline, or to arrange a quiz before the discussion session. No late homework is accepted. There will be no make-up quizzes.

The following lecture schedule may be updated during the semester.

Week of September 6:
• I.1: Definite and Indefinite Integrals (review on your own)
• I.3: Double angle formulas
• I.5: Integration by parts
Week of September 11:
• I.6: Reduction formulas
• I.8: Partial fractions
Week of September 18:
• I.8 Partial fractions
• I.10: Trig substitution
• I.11: Rational substitution
Week of September 25:
• I.12: Completing the square and trig substitution
• Review of integration methods
• II.1-3: Improper integrals
Week of October 2:
• II.1-3: Improper integrals
• II.5: Estimating improper integrals
Week of October 9:
• III.1-2: What is a differential equation?
• EXAM 1: Thursday, October 12. In class.
Week of October 16:
• III.3: First order separable equations.
• III.5: First order linear equations
• III.7-8: Direction fields
Week of October 23:
• III.10: Applications of differential equations
• IV.1-3: Taylor polynomials
Week of October 30:
• Substitution method (preview of IV.8)
• IV.5: Remainder term
• IV.6: Lagrange's Formula
Week of November 6:
• IV.8: Convergence (little-o arithmetic)
• IV.10: Differentiating and Integrating Taylor Polynomials
• Differential equations and Taylor polynomials
Week of November 13:
• Differential equations and Taylor polynomials
• V.1-2: Sequences
• EXAM 2: November 16. In class.
Week of November 20 (Thanksgiving):
• V.4: Series
• Convergence Tests
• There will be class on Monday, Tuesday, and Wednesday of this week. There will not be class on Thursday and Friday of this week.
• There will be no quiz this week.
Week of November 27:
• V.5: Convergence of Taylor series
• VI.1-3: Vectors
Week of December 4:
• VI.4-5: Vector bases and dot product
• VI.6-7: Cross product and applications of of cross products
• More on vectors
Week of December 11:
• Review for final exam.

HW 1 (due Sept 11):
• I.2: 1,4.
• I.4: 1,2,4,5,6,7,10.
• Additional worksheet .
HW 2 (due Sept 20):
• I.7: 1,3,4,6,7(a)-(c),13,15,17,21*.
• I.9: 1(d),2(a),6,7,9,12,14,20,21.
HW 3 (due Sept 27):
• I.9: 15,16,19.
• I.13: 1,2,3*,4,7,8,11,12,13,14*,15.
HW 4 (due Oct 4):
• I.15: 1,3,4,8,10.
• II.4: 1,4,5,7,10,13,15*,16.
• II.6: 2,3.
• I recommend reading II.5 early, to start preparing for the exam. That's also why I assigned a couple of problems from II.6 early.
Exam week. These problems will not be collected or graded.
• II.6: 4,5,6,7,12,13,14,15.
• I.15: 2,5,13,22,27,31,35,42.
HW 5 (due Oct 18):
• III.4: 1,2,3,5,6,7,8.
HW 6 (due Oct 25):
• III.6: 1,2,3,5,6,9,11,13,15,16.
• III.9: 1,2,3.
HW 7 (due Nov 1):
• III.11: 1,2,3,9*.
• IV.4: 1,2,4,7,9,15.
HW 8 (due Nov 8):
• IV.4: 17,19,23,27,32,35.
• IV.7: 1,3,4.
• IV.9: 18,19,22,24,26,27.
• Warning: the homework schedule gets compressed again here, because we're near an exam.
Exam week. These problems will not be collected or graded.
• IV.9: 2,3,4,8,9,12,14(a-d),28,31.
• We may add a worksheet here, too.
HW 9 (due Nov 22)
• V.3: 1,2,3,5,6,7,9,10*.
HW 10 (due Dec 6):
• V.6: 1,4,7,8,11,15,16.
• VI.9: 1,2(a)-2(h),4(a)-4(c),6(a)-6(c).
HW 11 (due Dec 13)
• VI.10: 2,3,4.
• VI.11: 1,2.
• VI.12: 1,2,3,5,6.
• VI.13: 1(a)-1(d),2(a)-2(d),4,6,8(a)-8(d).