# Math 244-4 Calculus IV

### The class meets on Mondays, Wednesdays, and Fridays on 1:30 - 2:20pm at 303, Keller Hall.

Office: 501, Keller Hall (5-th floor)
tel: (808)-956-6533
e-mail: pavel(at)math(dot)hawaii(dot)edu (usually, I respond to e-mail messages within a day)
Office hours: MW 12-1pm & 3:30-4:30pm

In this class we use the book
• J. Hass, M. Weir, G. Thomas University Calculus, alternate edition Pearson-Addison-Wesley
We cover the material from Chapters 14 and 15 from the book.
The book is really unavoidable, and cannot be replaced with another calculus textbook!
Course Objective
To learn basic concepts, techniques and applications pertaining to multiple integrals and integration in vector fields.
Prerequisites
A grade of C or higher in Math 243 or consent.
The course contains a combination of concepts, ideas and techniques. To understand the material means to be able to apply it in solving problems. At the end of the day, your grade will reflect your ability to solve specific calculus problems. More specifically, the following rules are to be taken.

• Final exam will take place on Friday May 15 at 2:15 --4:15pm and will count for 40% of the final grade. The exam is cumulative (it covers all the material). There will be no make-ups for the final.

• Mid-term test, which covers the material of Chapter 14 and counts for 30% of the final grade.

• Quizzes will be given approximately bi-weekly, and the average grade for the quizzes counts for 30% of the final grade.
A quiz typically consists of four problems taken from the homework.

The following are not part of the grading scheme:
• Attendance
However, missing the classes one misses at least the quizzes which are a part of the grade.
• Homework
The homework will be given every class, and the problems proposed for quizzes are taken from the homework.

### Contents

and Homework assignments

```

CHAPTER 14   Multiple Integrals
14.1:  1-27 odd
14.2:  1-55 odd
14.3:  1-17 odd
14.4:  1-21,27-33 odd
14.5:  1-47 odd
14.6:  1-21 odd
14.7:  1-31 odd
14.8:  1-23 odd

CHAPTER 15 Integration in vector fields
15.1:  1-27 odd
15.2:  1-29 odd
15.3:  1-29 odd
15.4:  1-23 odd
15.5:  1-29 odd
15.6:  1-31 odd
15.7:  1-19 odd
15.8:  1-19 odd

```

### Homework, Class and Quizzes Structure

• Homework is assigned every class. It consists of reading theory and solving problems. Both assignments are from the book.
• In Class I briefly recall the theory which is assumed to be already read by students; most difficult concepts are explained in details; most important ideas are emphasized. After that I explain on the blackboard as many problems in the connection with the material under the consideration as time allows. The rest of the problems and a new material to read are assigned as the next homework.
• Quizzes contain four problems; these are problems taken from the homework.