# Math 243-4, Calculus III

### The class meets Tuesdays and Thursdays 1:30 - 2:45pm 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: Tuesdays and Thursdays 12:00-1:30 and 3:00-4:00pm

In this class we use the book
• James Stewart Calculus: Early Vectors, Brooks/Cole Publishing Company.
The book is really unavoidable, and cannot be replaced with another calculus textbook!
Course Objective
To learn basic concepts, techniques and applications of vector algebra, vector-valued functions, differentiation and optimization in several variables.
Prerequisites
A grade of C or higher in Math 242 or Math 252A .

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 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 11 from the book counts for 30% of the final grade.

• Quizzes will be given almost every week, and the average grade for the quizzes counts for 30% of the final grade.
Every quiz 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 either from the homework or from the problems considered previously in class.

### Contents

and Homework assignments

```

CHAPTER 1   (recapitulation)  Introduction to vectors and vector functions
1.1:  1,7,9,15,17,19,21,23,25,29
1.2:  1,3,5,7,9,13,17,21,25,27,29,31,33,37,43
1.3:  1-13 odd,31

CHAPTER 11   Three-dimensional analytic geometry and vectors
11.1:  5,9,10,11,15,17,19,21,22,35
11.2:  1,3,7,9,11,13,15,17,19,21,25,27,29,31,33,35,43,49
11.3:  1,3,7,15,19,28,30
11.4:  1,7,11,13,15,17,19,23,29,33,37,43,51,55,59,63
11.5:  13,15,17-24,41,43
11.6:  1-6,7,9,23,25,31,35,37,39,41,45,51,57,61
11.7:  1,3,7.9,11,13,15,23,25,31,33,37,39,43
11.8:  1-13 odd,17,21

CHAPTER 12    Partial Derivatives
12.1:  3,23,27,31,41,51,55,59-64
12.2:  1-25 odd, 29, 33-45 odd
12.3:  3-43 odd, 49, 51-73 odd
12.4:  13,17,21,27,37,40
12.5:  1-11 odd, 13,15,17,19,21,29,31,39,41,43
12.6:  1-21 odd, 35,37,39,43,45,49,51,53,55,59
12.7:  1-15 odd, 25-31 odd, 35,39,41,43,45,51
12.8:  1-13 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.