Math 222 - Calculus and Analytic Geometry

Main lecture 003: TuTh 11:00AM - 12:15PM, INGRAHAM B10

Main lecture 004: TuTh 1:00PM - 2:15PM, VAN VLECK B102


Final exam will be comprehensive with slightly more focus on the last third of the class (ever since exam 2).

Good problems to study from. Don't just look at these, if you don't understand a concept try to do as many in that section as possible. Also note that exam problems are usually shorter and quicker than homework problems, but that doesn't mean that it takes less understanding to do them.
I.2) 1, 3
I.4) 1, 6, 12
I.7) 1, 4, 7, 16, 21
I.9) 1, 2, 7
I.13) 2, 3, 14
I.15) doing as many of these as possible is good practice for integration.
II.4) 1, 4, 5
II.6) 3, 4, 5, 7, 12
III.4) 3, 4
III.6) 5, 12
III.9) 1, 3
III.11) 1, 2, 7
IV.4) 1, 9, 16, 30
IV.7) 2, 3
IV.9) 10, 11, 12, 14, 21, 25
IV.11) 2, 5
V.3) 2, 4, 8
V.6) 4, 8, 17
V.7) 1
VI.9) 1, 2, 3, 9
VI.10) 1, 3
VI.11) 1, 2, 3
VI.12) 1, 2, 5, 6
VI.13) 1, 2, 5

Here's all the quizzes to study from, including solutions to quiz11.


See the homework page.


Math 222 course packets are available for sale in Room 215 (2nd floor) of Van Vleck.
Hours: 8:00am - 4:00pm.
Price: \$15, WISCARD (campus cash only), Cash (Bills no larger than \$20), Personal Check (with student ID)
The PDF file can be downloaded here.


Jiří Lebl
Office: 711 Van Vleck
Office hours: Tue 2:25pm-3:55pm, Thu 2:25pm-3:30pm, or by appointment at other times
Office phone: (608) 626-3298
Email: lebl at math dot wisc dot edu


Lec 003

Lec 004

Catalog Statement:

Techniques of integration, first order ordinary differential equations, vectors, two and three dimensional analytic geometry, infinite series. Prerequisites: Math 221.


Grade distribution is as follows:

Exam 1 22.5%
Exam 2 22.5%
Homework 5%
Quizzes 15%
Final 35%

There will be two in-class midterms and one final. The scores will then be curved. The precise curve will not be determined until after the final exam. No make up exams will be given. If you need to miss an exam, please, contact your lecturer/TA. You will need to participate in the final to pass the class. If you miss the final exam for whatever reason, you will receive an incomplete and you will have a chance to take another final exam in the week before the following semester.

Quizzes are generally on Thursdays. There will be no make ups for quizzes, but I will drop the lowest quiz score.


Bring your student ID to each exam. Calculators are very useful in practical problems, but they can compensate for a lack of basic understanding. Therefore, calculator and other computing devices will not be allowed on exams in this course. There will be no make ups for exams. Please, contact your lecturer, if you have to miss an exam.

Exam 1: Thursday, February 21 (in lecture, regular time)

Exam 2: Tuesday, April 9 (in lecture, regular time)

Final Exam: Friday, May 17, 10:05am-12:05pm,
Room: lecture-003: Bascom 272, lecture-004: Van Vleck B102


See the homework page for assigned homework. Solutions must be handed in to your TA at the due date in discussion.


See the tentative schedule. This can (and will) change as situation "on the ground" changes.

Making the most of your Math class:

Attend the lectures and the discussion sections. In many years of teaching I found that non-attendance almost always goes along with poor grades.

Start working on the homework assignments EARLY. If you cannot do a problem, ask for help. Hand in your attempts. Consider the homework as practice for the exams.

If you need help, don't delay. Go to see your TA or Lecturer. If you wait until almost the end of the semester, it is too late to make a significant impact on the grade.

Getting Help:

If you are having difficulty, first talk to your TA or Lecturer. If you cannot come to the scheduled office hours, make an appointment to see either at a different time. Here are some other places you can get help:

Math Tutorial Program

Please, contact, Dr David Camacho (321 Van Vleck) for that in the first 3 weeks of classes.

Math Lab:

The math Lab is is an especially good place to go if you have a quick homework question; more detailed questions are probably better directed to your TA.

Location: B277 Van Vleck Hall (across from the Mathematics Library)
Hours: Monday through Thursday, 3:30 - 8:30 pm, and Sunday 3:30 - 6:50 pm.
Dates: starting the second week of classes (usually), through the end of the semester.
Cost: Free.

Private Tutoring:

The Mathematics Department publishes a list of Mathematics graduate students who are willing to tutor students; copies are available on the second floor of Van Vleck Hall, next to the elevators.

Location: Varies; many tutors will meet in Van Vleck Hall: some will meet off-campus.
Cost: Fees vary from tutor to tutor; typical costs are \$20 to \$30 per hour.

Math Board:

The Math Board is a wooden board with slots labelled for many of the departments mathematics courses (101 through 632); interested students can fill out a card with information about themselves (name, course, instructor, contact information), and put that card in the slot which matches their course. Students can also read the cards that have been placed into the various slots, and use the information from the cards to contact one another to set up study groups, etc.

Interesting links:

Wolfram Alpha ( It's like Google for math.

Speaking of Google: try typing something like x^3.

Although no, Google will not likely solve your homework problems for you. Even if it did, it would not be a good idea. The reason for doing the homework is to learn how to do it. If you simply try to find solutions online, and did manage to find them, you will not learn anything and you will see the result of this on the exams.

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