All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor code very seriously and enforces it strictly. This means 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 Honor Code, students are obligated to report any such activities to the Instructor.
Mathematics 335002:
Vector AnalysIS
Spring 2006
ô Final Exam solutions: [ #1 ] [ #2 ] [ #3 ] [ #4 ] [ #5 ] [ Exam ]
ô Homework assignments: [ #1 ] [ #2 ] [ #3 ] [ #4 ] [ #5 ] [ #6 ] [ #7 ] [ #8 ] [ #9 ] [ #10 ] [ #11 ] [ #12 ]
ô Homework solutions: #8 [ 1 ] [ 2 ] #9 [ 1 ] [ 2 ] [ 3 ] #10 [ 1 ] [ 2 ] [ 3 ] #11 [ 1 ] [ 2 ] [ 3 ] [ 4 ] #12 [ 1 ] [ 2 ] [ 3 ]
ô Second midterm solutions: [ #1 ] [ #2 ] [ #3 ] [ #4 ] [ Exam ]
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Instructor: Prof.
Victor Matveev
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Textbooks: Vector
Calculus,
by P. C. Matthews, SpringerVerlag,
ISBN: 3540761802
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Grading
Policy: The final grade in this course will be determined as
follows:
☼
HW and Quizzes: 

24%

☼ 2 Midterms: 

22%
each 
☼ Final Exam: 

32% 
ô
Homework
Policy: Homework is given once or twice a
week and is collected before the lecture. Late homework is not accepted; if you
have to be absent from class, consider submitting the homework early. Homework
problem lists in the syllabus are given as a guideline only; homework
assignments will be handed out or emailed at each class by the instructor.
Class Policies:
Attendance and Participation: Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.
Makeup Exam Policy: There will be no makeup exams, except in rare situations where the student has a legitimate reason for missing an exam, including illness, death in the family, accident, requirement to appear in court, etc. The student must notify the Math office and the Instructor that he/she will miss an exam. In all cases, the student must present proof for missing the exam, e.g., a doctor's note, police report, court notice, etc., clearly stating the date AND times.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
Course Outline and Homework Assignments:
Week
1 (1/18, 1/20)
Chapter 1: Linear
Algebra: Dot & Cross Vector Products 
ª
HW
Assignment: page 8: 1.31.6; page 19: 1.8–1.9, 1.11–1.13, 1.15–1.17 
Week
2 (1/25, 1/27)
Chapter 3: Partial
Differentiation: Gradient, Divergence and Curl 
ª
HW
Assignment: page 53:
3.13.7; page 64: 3.93.11; 3.133.16, 3.17 (a, b) 
Week
3 (2/1, 2/3)
chapter 4: Suffix
Notation 
ª
HW
Assignment: page 73: 4.14.5, 4.7, 4.8;
page 19: 1.11 (using
suffix notation) 
Week
4 (2/8, 2/10)
Chapter 4: Suffix
Notation (continued) 
ª
HW
Assignment: page 82: 4.94.18 
Week
5 (2/15, 2/17)
Review and first midterm 
February
17 – 1st Midterm Exam
Week
6 (2/22, 2/24)
chapter 2: Line,
Surface and Volume Integrals 
ª
HW
Assignment: page 31: 2.12.4; page 53: 3.8 
Week
7 (3/1, 3/3)
chapter 2: Line,
Surface and Volume Integrals (continued) 
ª
HW
Assignment: page 64: 3.17
(ac); page 43: 2.52.11 
Week
8 (3/8, 3/10)
chapter 5: Integral
Theorems: The Divergence Theorem 
ª
HW
Assignment: page 90: 5.15.5,
5.7 
Week
9
No classes
spring recess: march 1317,
2006 
Week
10
(3/22, 3/24)
Review and second midterm 
March
24 – 2nd Midterm
Week
11 (3/29, 3/31)
March 27 – Last day to withdraw from the
course
chapter 5: Integral
Theorems: The Stokes Theorem 
ª
HW
Assignment: page 98:
5.85.11, 5.13 
Week
12 (4/5, 4/7)
chapter 6: Curvilinear Coordinates 
ª
HW
Assignment: page 107: 6.16.4; page 113: 6.5, 6.7, 6.9 
Week
13 (4/12; no class on 4/14 – Good Friday)
chapter 8: Applications of Vector Calculus: Maxwell’s
Equations 
ª
HW
Assignment: page 139:
8.28.6 
Week
14 (4/19, 4/21)
chapter 7: Cartesian Tensors 
ª
HW
Assignment: page 121:
7.17.10; page
130: 7.117.14, 7.17 
Week
15 (4/26, 4/28)
chapter 8: Applications of Vectors and Tensors 
ª
HW
Assignment: page 152:
8.78.11 
Week
16 (5/2, Tuesday – Classes follow Friday
schedule)
☼ Review for FINAL
EXAM
FINAL EXAM WEEK: 
Prepared By: Prof. Victor Matveev
Last revised: