NJIT HONOR CODE

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 335-002:

Vector AnalysIS

Spring 2006



Final Exam solutions:   [ #1 ]   [ #2 ]   [ #3 ]   [ #4 ]   [ #5 ]   [ Exam ]

Homework assignments:   [ #1 ] [ #2 ] [ #3 ] [ #4 ] [ #5 ] [ #6 ] [ #7 ] [ #8 ] [ #9 ] [ #10 ] [ #11 ] [ #12 ]

Homework solutions:   #8 [ 1 ] [ 2 ]     #9 [ 1 ] [ 2 ] [ 3 ]   #10 [ 1 ] [ 2 ] [ 3 ]   #11 [ 1 ] [ 2 ] [ 3 ] [ 4 ]   #12 [ 1 ] [ 2 ] [ 3 ]

Second midterm solutions:   [ #1 ]   [ #2 ]   [ #3 ]   [ #4 ]   [ Exam ]

Course Schedule Link

Instructor: Prof. Victor Matveev

Textbooks: Vector Calculus, by P. C. Matthews, Springer-Verlag, ISBN: 3540761802

Grading Policy: The final grade in this course will be determined as follows:

HW and Quizzes:

24%

2 Midterms:

22% each

Final Exam:

32%

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 e-mailed 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

HW Assignment: page 8: 1.3-1.6; page 19: 1.81.9, 1.111.13, 1.151.17

Week 2 (1/25, 1/27)

Chapter 3: Partial Differentiation: Gradient, Divergence and Curl

HW Assignment: page 53: 3.1-3.7; page 64: 3.9-3.11; 3.13-3.16, 3.17 (a, b)

Week 3 (2/1, 2/3)

chapter 4: Suffix Notation

HW Assignment: page 73: 4.1-4.5, 4.7, 4.8; page 19: 1.11 (using suffix notation)

Week 4 (2/8, 2/10)

Chapter 4: Suffix Notation (continued)

HW Assignment: page 82: 4.9-4.18

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

HW Assignment: page 31: 2.1-2.4; page 53: 3.8

Week 7 (3/1, 3/3)

chapter 2: Line, Surface and Volume Integrals (continued)

HW Assignment: page 64: 3.17 (a-c); page 43: 2.5-2.11

Week 8 (3/8, 3/10)

chapter 5: Integral Theorems: The Divergence Theorem

HW Assignment: page 90: 5.1-5.5, 5.7

Week 9 No classes

spring recess: march 13-17, 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

HW Assignment: page 98: 5.8-5.11, 5.13

Week 12 (4/5, 4/7)

chapter 6: Curvilinear Coordinates

HW Assignment: page 107: 6.1-6.4; 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: Maxwells Equations

HW Assignment: page 139: 8.2-8.6

Week 14 (4/19, 4/21)

chapter 7: Cartesian Tensors

HW Assignment: page 121: 7.1-7.10; page 130: 7.11-7.14, 7.17

Week 15 (4/26, 4/28)

chapter 8: Applications of Vectors and Tensors

HW Assignment: page 152: 8.7-8.11

Week 16 (5/2, Tuesday Classes follow Friday schedule)

Review for FINAL EXAM

FINAL EXAM WEEK: maY 4 - 10, 2006

Prepared By: Prof. Victor Matveev

Last revised: December 30, 2005