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 335-001:

VECTOR ANALYSIS

FALL 2005

 

Course Schedule Link
M, W 8:30-9:55am, Kupf 107

Final exam solutions:   [ #1 ]   [ #2 ]   [ #3 ]   [ #4 ]   [ #5 ]   [ #6 ]   [ Alternative Q4 ]   [ Alternative Q7 ]   [ Exam ]  

Midterm solutions:   [ #1 ]   [ #2 ]   [ #3 ]   [ #4 ]   [ Exam ]   [ Prep list ]

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

Homework solutions:   hw#4 [ 1 ] [ 2 ] [ 3 ]   hw#5 [ 1 ] [ 2 ] [ 3 ]   hw#6 [ 1 ] [ 2 ]   hw#7 [ 1 ] [ 2 ] [ 3 ]   hw#8 [ 1 ] [ 2 ] [ 3 ] [ 4 ]   hw#9 [ 1 ] [ 2 ] [ 3 ]  

Instructor:  Prof. Matveev ( Office Hours: Monday 10am-12pm and 4pm-5pm )

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

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

 

 

    Homework and Quizzes:

 

37%

    Midterm Exam:

 

28%

    Final Exam:

 

35%

 

Homework Policy:  Homework is collected once a week, before the lecture on Wednesday. Late homework is not accepted; if you have to be absent from class, consider submitting homework early. Homework problem lists in the syllabus are given as a guideline only; homework assignments may be modified 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  (9/7)

Chapter 1: Linear Algebra: Dot & Cross Vector Products

  Assignment 1:    page 8: 1.1, 1.31.6;   page 19: 1.81.9,  1.111.13, 1.151.17

Week 2  (9/12 & 9/14)

Section 3.1: Partial Differentiation
Section 3.2: The Gradient of a Scalar Field

  Assignment 2:    page 53: 3.1 3.7

Week 3  (9/19 & 9/21)

Sections 3.3: Divergence
Sections 3.4: Curl of a Vector Field

  Assignment 3:    page 64: 3.9-3.11, 3.13-3.16, 3.17 (a,b)

Week 4  (9/26 & 9/28)

Chapter 4: Suffix Notation

  Assignment 4:    page 73:      4.1-4.5, 4.7, 4.8; page 19:  1.11 (using suffix notation); 
page 82:      4.9-4.18

Week 5  (10/3 & 10/5)

Chapter 2: Line, Surface and Volume Integrals

  Assignment 5:    page 31:   2.1-2.4;   page 53:   3.8

Week 6  (10/10 & 10/12)

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

  Assignment 6:    page 64:   3.17 (a-c); page 43:   2.15-2.11

Week 7  (10/17 & 10/19)

Chapter 7: Integral Theorems

  Assignment 7:    page 90:  5.1-5.5, 5.7; page 98:   5.8-5.11, 5.13

Week 8  (10/24 & 10/26)

  Review and MIDTERM EXAM

Week 9  (10/31 & 11/2)

Chapter 6: Curvilinear Coordinates

Assignment 8: page 107:    6.1-6.4;  page 113: 6.5, 6.7. 6.9

  November 2, 2005: Last day to withdraw from a course

Week 10   (11/7 & 11/9)

Sections 8.1-8.2: Applications of Vector Calculus

  Assignment 9:    page 139:    8.2 - 8.6

Week 11  (11/14 & 11/16)

Sections 7.1-7.3.1: Cartesian Tensors

  Assignment 10: page 121:    7.1-7.5

Week 12  (11/21 & 11/23)

Sections 7.1-7.3.1: Cartesian Tensors (continued)

  Assignment 11: page 121:    7.6-7.10

  Thanksgiving Recess:  November 24 27, 2005

Week 13  (11/28 & 11/30)

Sections 7.3-7.4: Cartesian Tensors (continued)

  Assignment 12: page 130:    7.11 7.14, 7.17

Week 14  (12/5 & 12/7)

Chapter 8: Applications of  Vectors and Tensors

  Assignment 13: page 152:    8.7-8.11

Week 15  (12/12)

  Review for FINAL EXAM

 

FINAL EXAM WEEK:  DECEMBER  15 - 21, 2005

 

Prepared By:  Prof. Victor Matveev

Last revised:  August 30, 2005