MATH 221 Lectures 4 and 5: Calculus and Analytic Geometry

University of Wisconsin-Madison
Mathematics Department

Math 221 Lectures 4 and 5
Calculus and Analytic Geometry
Lecturer: Arun Ram

Last updated: 17-Oct-2011

Fall 2006

About the course: Math 221 is the first course in our calculus sequence. The sequence is designed to cover sufficient material in enough depth to provide a calculus background for engineers and scientists. Math 221 covers differentiation and integration and their applications. This course is NOT designed for students that have already taken calculus. Very few high school calculus courses have the same depth as Math 221, and Math 221 will probably be quite different from a high school calculus course. The best preparation for this course is a solid background in graphing functions and in high school algebra.

Syllabus

Student information page

TA information page

Homework assignments

Text, Calculators and HW assignments: The textbook for the course is Thomas' Calculus, Eleventh edition, Addison-Wesley. Calculators, textbooks and notes are all extremely good tools for learning calculus. Students are strongly encouraged to use these resources fully in order to learn the material. Calculators are not allowed on exams for the same reasons that books and notes are not allowed on exams. Students are encouraged to use calculators while studying and doing the homework problems in the same way that textbooks help with studying and doing homework problems. Homework assignments are downloadable from this web page. See the section "Homework assignments" below. The following may be useful for the homeworks:

Ramulus 2 October 2006

The following may be useful for HW1:

Definitions

Numbers

The exponential function

Inverse functions

Basic trig identities

If the first file doesn't display properly in your browser see the section Viewing MathML, below.

Lectures: There are 3 lectures each week:

Lecture 4: MWF 12:05-12:55 in Van Vleck B130,

Lecture 5: MWF 1:20-2:15 in Van Vleck B130.

Discussion sections: There are two discussion sections each week with your TA for discussing questions and going over homework problems. These are extremely useful for getting through this course.

Lecture 4

DIS 371 at 7:45 TR in B305 Van Vleck, TA: ???
DIS 372 at 8:50 TR in B129 Van Vleck, TA: Daniela Banu
DIS 373 at 9:55 TR in 350 Birge, TA: Daniela Banu
DIS 374 at 9:55 TR in 348 Birge, TA: ???
DIS 375 at 11:00 TR in 1412 Sterling, TA: Blythe Hazellief
DIS 376 at 11:00 TR in 2101 Humanities, TA: ???
DIS 377 at 12:05pm TR in B115 Van Vleck, TA: Nathan Collins
DIS 378 at 12:05pm TR in 115 Ingraham, TA: Blythe Hazellief
DIS 379 at 1:20pm TR in B309 Van Vleck, TA: Dan Rosendorf
DIS 380 at 2:25pm TR in B333 Van Vleck, TA: Dan Rosendorf
DIS 381 at 3:30pm TR in B309 Van Vleck, TA: Nathan Collins

Lecture 5

DIS 391 at 7:45 TR in B211 Van Vleck, TA: Diana Sarb
DIS 392 at 8:50 TR in 4314 Soc Sci, TA: Rui Wang
DIS 393 at 9:55 TR in B115 Van Vleck, TA: Rui Wang
DIS 394 at 11:00pm TR in B219 Van Vleck, TA: Zajj Daugherty
DIS 395 at 12:05pm TR in 116 Ingraham, TA: Zajj Daugherty
DIS 396 at 12:05pm TR in 114 Social Work, TA: ???
DIS 397 at 1:20pm TR in B337 Van Vleck, TA: Rahbar Virk
DIS 398 at 1:20pm TR in B305 Van Vleck, TA: ???
DIS 399 at 2:25pm TR in B329 Van Vleck, TA: Diana Sarb
DIS 400 at 2:25pm TR in B309 Van Vleck, TA: Rahbar Virk
DIS 401 at 3:30pm TR in B337 Van Vleck, TA: ???

Office Hours: I will hold office hours on Sunday afternoons from 1:30-4:30pm in Van Vleck B239.

TA Office Hours: You should feel free to go to the office hours of any of the TAs for the course.

Daniela Banu: MWF 9:45-10:50 in 618 Van Vleck
Nathan Collins: W 1:00-3:00, F 1:00-2:00 in 620 Van Vleck
Zajj Daugherty : WF11-11:50, Th 2-3, in B101-18 Van Vleck
Blythe Hazellief : WF 11-12 and Th 1-2 in B101-24 Van Vleck
Dan Rosendorf: MW 9:50-10:50, F 1:00-2:00 in 422 Van Vleck
Diana Sarb: W 12:15-1:15, F 9:50-10:50, F 12:15-1:15 in 520 Van Vleck
Rahbar Virk: T 10:30-12:00, Th 10:30-12:00, (except Sept. 14 when they'll be 3:30-5:00) in 522 Van Vleck
Rui Wang: T 2:30-4:00, Th 2:30-4:00 in B101-12 Van Vleck

Getting Help: If you are having difficulty first talk to your TA and lecturer. You can make appointments to meet with Prof. Ram by coming up before or after class. There are also many other resources for getting help with calculus. Further help options are listed on the math department's Getting help in your math class page. In particular, the Mathematics Tutorial Program is well informed about our course and runs a fantastic help service. You must sign up to take advantage of this (it is not a drop in service) and it will be an additional (very helpful) time commitment.

Internet resources: More and more help is available through the internet. The following are some sites that other students have found useful. Please keep me informed of other useful calculus web sites that you find so that I can link them here.

Tutorials for the Calculus Phobe

Wolfram's mathworld

An AP Calculus help site

Grading: The term grade will be determined as follows: Homework: 8% Midterm 1: 20% Midterm 2: 20% Midterm 3: 20% Final Exam: 32%. Final grades are computed by totalling the points from the homework, the midterms and the final. Grade letters will be assigned with the following curve as a guideline: 20% A's, 30% B's, 30% C's, 20% D's and F's.

Homework: Homework will be due weekly on Monday, in class. Each week your TA will carefully grade 5 randomly chosen problems from your homework. Each of these problems will be worth 1 point and we will give you 2 more points for completeness and 3 more points for general quality of the rest. If you have specific questions include a note to your TA with your homework so that the TA can help. Most of the answers to the homework problems will be given along with the homework problems and so IF YOU DO NOT SHOW YOUR STEPS, AND JUSTIFY YOUR ANSWERS, AND WRITE CLEARLY AND IN COMPLETE SENTENCES AND PUT EQUAL SIGNS WHERE THEY BELONG you will get no credit. Your homework should be turned in in a form which could be given to a typist for typing, i.e. neat, clear, legible, and in complete sentences. Late homework is not accepted. If you make a deal with your TA . . . . . . . I don't know about it. I will make every effort to cover the material on the homework which is due Monday by the end of the Friday lecture the week before.

THE HOMEWORK ASSIGNMENTS SHOULD BE DOWNLOADED FROM THIS WEB PAGE. See the section "Homework Assignments" below.

Exams: There will be three 50 minute in-class midterms: October 9, October 30 and November 27. There will be a 2 hour final exam at 7:45am Wednesday December 20. For the exams, you must attend the lecture you are registered for because the exams for the two lectures will be different. Sample exams are: Midterm 1, Midterm 2, Midterm 3, Final.

The midterm exams will be a random selection of 10 homework problems from the previous month (including the homework assignment which is due the day of the exam). The Final Exam will be 16 questions: one randomly chosen problem from each HW, plus one extra related rate problem, and one additional "theory/regurgitate" problem (the concepts from Math221). The "theory/regurgitate" problems are

HW1A1-11, HW1B1,2, HW1C1-28, HW1D1-33, HW2A1-14, HW2F1-9, 14-17, HW3A1-9, HW3B1-13,HW4A1-13, HW6D1-8, HW7D1-3, HW10E1-7, HW12B1-5, HW12D1-5

All problems on the final exam will be taken verbatim from the homework assignments.

Homework assignments:

Homework assignment 1: DUE September 11, 2006 pdf file

Homework assignment 2: DUE September 18, 2006 pdf file

Homework assignment 3: DUE September 25, 2006 pdf file

Homework assignment 4: DUE October 2, 2006 pdf file

Homework assignment 5: DUE October 9, 2006 pdf file

Homework assignment 6: DUE October 16, 2006 pdf file

Homework assignment 7: DUE October 23, 2006 pdf file

Homework assignment 8: DUE October 30, 2006 pdf file

Homework assignment 9: DUE November 6, 2006 pdf file

Homework assignment 10: DUE November 13, 2006 pdf file

Homework assignment 11: DUE November 20, 2006 pdf file

Homework assignment 12: DUE November 27, 2006 pdf file

Homework assignment 13: DUE December 8, 2006 pdf file

Homework assignment 14: DUE December 15, 2006 pdf file

THAT'S ALL FOLKS!

Some answers for homework problems:

Homework 1 answers: pdf file

Homework 2 answers: pdf file

Homework 3 answers: pdf file

Homework 4 answers: pdf file

Homework 5 answers: pdf file

Homework 6 answers: pdf file

Additional answers for HOMEWORKS 6 and 7: pdf file

Homework 7 answers: pdf file

Homework 8 answers: pdf file

Homework 9 answers: pdf file

Homework 10 answers: pdf file

Homework 11 answers: pdf file

Homework 12 answers: pdf file

Homework 13 answers: pdf file

Homework 14 answers: pdf file

Lecture notes: Every year I change the way that I present some things, but the following lecture notes will give a very good indication of the material and how I will present it. These notes are in the process of being rewritten and made more web friendly. This year I am including these links only so that you have enough resources to get going right away. It is likely that these scans will get replaced by other material during the course of the semester.

Lecture 1: September 6, 2000. (pdf file)

Lecture 2: September 8, 2000. (pdf file)

Lecture 3: September 11, 2000. (pdf file)

In jpg format: page 1, page 2, page 3, page 4, page 5, page 6, page 7.

Lecture 4: September 13, 2000. (pdf file)

In jpg format: page 1, page 2, page 3, page 4, page 5, page 6, page 7.

Lecture 5: September 15, 2000. (pdf file)

In jpg format: page 1, page 2, page 3, page 4, page 5, page 6, page 7, page 8.

Lecture 6: September 18, 2000. (pdf file)

In jpg format: page 1, page 2, page 3, page 4, page 5.

Lecture 7: September 20, 2000. (pdf file)

In jpg format: page 1, page 2, page 3, page 4, page 5, page 6, page 7, page 8.