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MATH 335 Course Syllabus
- SPRING 2013
NJIT Academic Integrity CODE: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.
Math 335-002: Vector Analysis
Textbook: Vector Calculus (Fifth Edition) by Jerrold E. Mardsen and Anthony J. Tromba.
Prerequisites: Math 211 or Math 213 with a grade of C or better -or- placement by performance on standardized entrance examinations.
Grading Policy: The final grade in this course will be determined as follows:
|
▪ Homework/Quizzes: |
22% |
|
▪ Exams I: |
24% |
| ▪ Exams II: | 24% |
|
▪ Final Exam: |
30% |
Letter grades will be assigned according to the following tentative scale:
|
A |
90-100 |
C |
60-69 |
|
B+ |
85-89 |
D |
50-59 |
|
B |
75-84 |
F |
0-60 |
|
C+ |
70-74 |
|
|
Drop Date: Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.
Homework/Quiz Policy: Homework is assigned once a week in class and is collected before the following lecture. Late homework is not accepted; if you have to be absent from class, consider submitting the homework early. An additional webpage with homework, selected homework/quiz/problem solutions, up-to-date guidelines, and additional lecture-related information is located here.
Further Assistance: For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. If you cannot make the office hours and you need help please contact your instructor to make an appointment.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
MATH DEPARTMENT CLASS POLICIES LINK
All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.
|
First Day of Spring Classes |
|
|
Spring Recess ~ No Classes Scheduled ~ University Open |
|
|
Last Day to Withdraw from this course |
|
|
Good Friday ~ University Closed |
|
|
Classes follow a Friday Schedule, Last Day of Classes |
|
|
Reading Day |
|
|
Final Exams |
Course Outline and Homework Assignments:
| SECTIONS |
TOPIC |
|
|
Week 1 |
Chapters 1, 2,
and 5 |
Review of
Calculus III, and in-depth
study of inner products and
orthogonal projections.
Applications in the natural
sciences and engineering |
|
Week 2 |
Chapters 1, 2,
and 5 |
Review of
Calculus III, and in-depth
study of differentiability,
the gradient and directional
derivative, paths and curves,
and double/triple integrals |
|
Week 3 |
Chapter 3 |
Extrema, Taylor's Theorem, the
Implicit Function Theorem |
|
Week 4 |
Chapters
3 and 4 |
Constrained extrema,
Arc-Length, Vector Fields |
|
Week 5 |
Chapter
4 |
Divergence
and Curl |
|
Week 6 |
Chapter 6 |
Exam
1 (February 26),
Change of Variables, Vector
Fields |
|
Week 7 |
Chapter 6 |
Maps in 2 and 3 Dimensions |
|
Week 8 |
Chapter 7 |
Path and Surface Integrals |
| 3/17-3/24
SPRING BREAK, NO CLASSES |
||
|
Week 9 |
Chapter 7 |
Path and Surface Integrals |
|
Week 10 |
|
Exam
2 (April 2), |
|
Week 11 |
|
The Integral
Theorems of Vector
Analysis |
|
Week 12 |
Chapter 8 |
The Integral
Theorems of Vector
Analysis |
|
Week 13 |
Chapter 8 |
The Integral
Theorems of Vector
Analysis and Applications |
|
Week 14 |
Chapter 8 |
The Integral
Theorems of Vector
Analysis and Applications.
Review for Final Exam |
Prepared By: Prof.
Peter G. Petropoulos
Last revised: January 9, 2013