Instructor: Robert Hanson

Office: JWB 314, i.e.,  the integer part of 100p

email: bobby@math.utah.edu (this is the best way to contact me)

Office Phone: 581-5568

Office Hours: By appointment

Class
MTWF 11:00 a.m.—12:30 p.m. in LCB 219.

Texts
We will be using Chapter 7 through Chapter 10 of Joe Taylor's book-in-progress as a reference.  In addition, I will hand out my own lecture notes that follow my lectures.  The homework problems will come from the lecture notes.

Website
I will maintain a course website at http://www.math.utah.edu/~bobby/3220/. There, I will post announcements, homework assignments, solutions, and other course materials.

Prerequisites
Math 3210 is the prerequisite for this course. In particular, you should be gaining proficiency at reading and writing proofs. If you earned a C or C+ in 3210, you are probably not prepared for this course. If you earned a C- or lower, you are certainly not prepared.

Objectives
There are two objectives for the course. The first is to cover the concepts and theorems fundamental to calculus. The second is to develop the students' ability to read and write proofs, and communicate mathematics rigorously.

Homework
This class is an introduction to proofs and proof-writing. This means, essentially, you will be learning to read and write in the language of mathematics. The best way to learn to read and write in a language is to practice reading and writing in that language. For that reason, homework is very important in this class. Accordingly, it is a major part of your grade.  You will be assigned daily homework, which you will turn a few class sessions after the assignment is given.  I should give you the ground rules for homework so that you are prepared to succeed in this class.

Rules for Homework

1. Grading. Each section will have several problems. Each problem will be worth 1 point. If you get it correct, you earn 1 point. I will give partial credit of 1/2 point, but only if you are almost completely correct. For proofs, this means that you are within one sentence of a correct proof. For those computational problems with many parts, I will grade one part at random. If you get 80% of the problems correct, you will earn an A; 70% earns a B; 60% earns a C; and so on.

2. Homework must be neat. If I decide that your homework is too messy for me to bother reading, you will receive 0 points. For examples of what I consider to be neat, see my homework solutions from my 3210 webpage (http://www.math.utah.edu/3210/homework.html). Your homework should be done in pencil; pages should be stapled and have clean edges.

3. Use complete sentences. If your homework is just notes jotted down, you will receive 0 points. Proofs are written using complete sentences, obeying the rules of whatever language in which the proof is written (in this case, English). If you use an equals sign, the two objects being compared had better well be equal. Do not use an equals sign to indicate "implies".

4. Late homework. Homework that is less than a week late will be graded at 75% credit. Homework more than a week late will not be graded. The last homework assignment for the semester may not be turned in late.

5. Group work. I recommend that you work in small groups (2 to 4 people seems best) on your homework. Each person should, however, turn in their own work. I want you to put a star («) next to each of the problems which you worked on completely by yourself. These stars will not have any effect on your homework grade whatsoever. My intention here is to show you how much you are relying on your peers for your understanding. If you don't have very many stars on your homework, then that should indicate to you that you are relying on your peers a little too much.

Quizzes
We will have unannounced quizzes just about every week. These quizzes will be given at the beginning of the class period, and will last about 10 minutes. I will not give any make-up quizzes. The quizzes will test your understanding of the definitions. Any proofs I ask you to do will be remarkably simple (if you know the definitions).

Dictionary
You should maintain a dictionary of definitions and theorems. This dictionary should be separate from your class notes. You can ask your husband, wife, boyfriend, girlfriend, children, pets, or neighbors to quiz you on these definitions. Most definitions won't have any equations in them, they will just be English sentences. Therefore, your quizzer need not be an expert in mathematics to qualify.

Midterm Exams
Right now, I have scheduled two midterm exams. This may change. We will certainly have at least one exam, and no more than three. The exams will be comprehensive. If you need to miss an exam, let me know at least a week in advance.

Final Exam
The final exam will be held on Friday, August 3, 2007 in LCB 219, from 10:00 a.m. to 12:00 p.m. This will be a comprehensive exam, covering the material from the entire semester. You must pass this exam to pass the class.

Grading
The following relative weights will be used in determining the final grade for the course:

HW: 50%
Midterms AND Quizzes: 25%
Final Exam: 25%

Tutoring
Tutoring is offered by the Mathematics Department free of charge on a drop-in basis. The tutoring center is located in the Math Center. It is open 8:00 a.m. to 7:00 p.m. Monday through Thursday, and 8:00 a.m. to 2:00 p.m. Friday. It is closed on weekends and University holidays.

Americans with Disabilities Act
The Americans with Disabilities Act requires accommodations be provided for students with physical, cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of the semester to discuss any such accommodations for this course.