# Math 243-3 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 12-1:15 and 3:45-5pm

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 10,11,12, and 13 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 vector-valued functions and differentiation in several variables.
Prerequisites
A grade of C or higher in Math 242 or 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 Chapters 10,11,12, and counts for 30% of the final grade.

• Quizzes will be given almost 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 10   Polar Coordinates
10.1:  1-49 odd
10.2:  1-19 odd
10.3:  1-25 odd

CHAPTER 11    Vectors and the Geometry of Space
11.1:  1-27,35-51 odd
11.2:  1-39 odd
11.3:  1-7 odd
11.4:  1-23, 35-41 odd
11.5:  1-47,53-67 odd
11.6:  1-12 odd

CHAPTER 12    Vector-Valued Functions and Motion in Space
12.1:  1-25 odd
12.2:  1-21 odd
12.3:  1-15 odd
12.4:  1,3,7,9-21 odd
12.5:  1-19 odd
12.6:  1-5 odd

CHAPTER 13 Partial Derivatives
13.1:  1-11(part a),29,31,41,43 odd
13.2:  1-41 odd
13.3:  1-37,41-49, odd
13.4:  1-11,25,27,29-37 odd
13.5:  1-29 odd
13.6:  1-21,25-30 odd
13.7:  1-41,53 odd
13.8:  1-27,35-39 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.

### Tutoring program

The program resumes operation starting on Wed., Aug 29, in Learning Emporium, located in Bilger Addition 209. Tutors will be available:
MWTh: 9am-4:30pm
Tu: 9am -4pm
F: 9:30am-4pm
A precise schedule will be also posted in K418, on the Bulletin Board outside K401A, on the door of BA209 and at various other locations.