Class meetings: Monday and Thursday 14:30 – 15:45, JMH 406
Instructor: Han-Bom Moon
Recitation: Tuesday 16:30 – 17:20, JMH 406 (Instructor: Professor Cris Poor)
Office: JMH 418
E-mail: hmoon8 at fordham dot edu
Course webpage: http://my.fordham.edu
Office hours: Monday and Thursday 13:00 – 14:30, or by appointment
Text: Multivariable Calculus, 7th ed., by J. Stewart. ISBN-10: 0538497874.

Recommended Problems

• Sec 12.1. #7, 9, 10, 12, 15, 19, 22, 27, 28, 34, 37, 42, 43.
• Sec 12.2. #4, 5, 7, 8, 11, 13, 21, 25, 34, 35, 39, 45, 51.
• Sec 12.3. #4, 8, 9, 10, 15, 17, 19, 21, 23, 28, 40, 44, 54, 56, 57, 61, 62.
• Sec 12.4. #1, 2, 4, 13, 14, 15, 20, 30, 34, 35, 37, 38, 39, 41, 43, 46, 53.
• Sec 12.5. #1, 3, 5, 7, 12, 13, 14, 16, 19, 21, 23, 27, 30, 33, 34, 37, 40, 45, 51, 53, 56, 61, 65, 71, 75, 79.
• Sec 12.6. #1, 4, 11, 13, 15, 19, 21-28, 33, 36, 42, 45.
• Sec 13.1. #3, 5, 7, 9, 14, 15, 17, 21-26, 28, 40, 41.
• Sec 13.2. #5, 7, 9, 11, 17, 22, 25, 28, 33, 35, 37, 44 – 46, 47, 48, 51.
• Sec 13.3. #3, 4, 10, 17, 18, 21, 24, 27, 31, 32.
• Sec 13.4. #4, 5, 7, 9, 13, 15, 22, 23, 24, 25, 29.
• Sec 14.1. #8, 10, 11, 14, 22, 25, 29, 32, 34, 38, 39, 40, 43, 46, 59-64, 65, 67.
• Sec 14.2. #5, 14, 17, 18, 22, 40, 41.
• Sec 14.3. #9, 12,  41, 47, 49, 55, 59, 61, 63, 65, 95, 98.
• Sec 14.4. #1, 3, 7, 12, 13, 15, 25, 30, 31, 35, 38, 39, 42.
• Sec 14.5. #1, 3, 7, 9, 13, 21, 24, 35, 42, 46, 48, 52, 55.
• Sec 14.6. #4, 7, 10, 11, 12, 22, 25, 29, 31, 34, 38, 42, 44, 52, 53, 56, 57, 61, 63.
• Sec 14.7. #3, 4, 5, 13, 14, 16, 19, 33, 35, 38, 39, 46, 49, 50.
• Sec 14.8. #1, 4, 7, 9, 19, 21, 30, 33, 35, 37, 39, 47.
• Sec 15.1. #11, 13, 18.
• Sec 15.2. #3, 7, 9, 11, 12, 13, 15, 19, 22, 27, 31, 36.
• Sec 15.3. #3, 4, 9, 10, 15, 21, 22, 23, 29, 31, 37, 44, 48, 50, 51, 59, 63, 64, 65.
• Sec 15.4. #1, 4, 5, 7, 9, 13, 15, 17, 19, 21, 25, 29, 31, 35, 36, 38.
• Sec 15.5. #1, 3, 5, 7, 11, 16, 27, 28, 30, 31, 32.

Course objective

All concepts we have studied in (single variable) calculus courses can be generalized and extended to several variable functions. To describe many laws of nature, it is inevitable to use several variable functions and calculus for them. In Multivariable Calculus I, mainly we discuss multivariable differential calculus. The topics include geometry of three dimensional spaces, vector-valued functions, several variable functions and their differentiation, partial derivatives, applications to min/max problems, and introduction to double integrals.

Prerequisite

You are expected to know Calculus II (Math 1207) or its equivalences.

Grading

I will grade on a curve. Final grades will be computed according to the following breakdown:

Calculator or computer

You can use TI-83 or higher graphing calculators in class or for homework, and tests. But TI-89 or higher may not be allowed during exams.

Homework

There is no way to learn mathematics without solving lots of exercise problems by yourself. Homework will be assigned weekly on the course webpage. It will be collected on Thursday, before the class starts. I recommend you to work in groups and help each other. But do not copy directly. You must understand how to solve the problems.

Additional materials

It is always advisable to work as many additional problems from the book as you have time for. In each week I will post on the course webpage a list of recommended problems. You don’t need to submit a solution of all recommended problems, but studying them will be very helpful to improve your mathematical writing skill. Also, I will post model solutions of homework and tests. Check the course webpage regularly.

Test

There will be two midterm tests and a cumulative final exam. The midterm exam schedule, which will depend on the course progress, will be announced later. The final exam will be on December 12, 13:30 – 16:30. The final exam will be cumulative, but may slightly emphasize material covered between the second midterm exam and the last day of class. Make up exams will not be given unless you have a documented reason.

Attendance

Coming to every class during the official academic term is required. Attendance will be taken intermittently. This will be included in the “participation” portion of your grade.

Math Help Room

From the second week of classes, the Math Help Room in JMH 410 welcomes all students to drop by with any math questions. Faculty and upper class math majors will stay and help you.

Academic integrity

As a Fordham University student, you have agreed to abide by the University’s academic integrity policy. All academic work must meet the standards described in here. Lack of knowledge of the academic integrity policy is not a reasonable explanation for a violation. Questions related to course assignments and the academic integrity policy should be directed to the instructor.

Disclaimer

The course syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary.

Back