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 222-007:

differential equations

Fall 2007

Course Schedule Link

 

 

*     Instructor:  Prof. Rotstein

*     Textbook:  Elementary Differential Equations and Boundary Value Problems, 8th Ed., by Boyce and DiPrima.

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

      Homework + Quizzes:

 

17%

      3 Common Midterms:

 

51%

      Final Exam:

 

32%

A final average grade of 60 is required to pass this class.  A final average grade of 85 is required to earn a grade of A.  Please note that the University Drop Date November 5, 2007 deadline will be strictly enforced.

 

*     Homework Policy:  Homework Assignments chosen from the text are attached to this document.  Students are required to work through these problems after each lecture in order to gain a better understanding of the course material.  Weekly quizzes will be based on these exercises.

*     MATLAB:  MATLAB is a mathematical software program that is used throughout the science and engineering curriculum. Several MATLAB assignments will be given out. These assignments have been designed to help you learn how to use this software, as well as to help you visualize many of the concepts taught in class.

*     Exams:  All sections of Math 222 will take three common midterm exams during the semester and one common final exam during the final exams week. Midterm exams are held on Wednesdays on the following days:

Exam 1

September 26, 2007

4:15 – 5:40pm

5:40 – 7:10pm

Exam 2

October 24, 2007

4:15 – 5:40pm

5:40 – 7:10pm

Exam 3

November 28, 2007

4:15 – 5:40pm

5:40 – 7:10pm

Day sections will have common examinations on the above listed dates from 4:15pm to 5:40pm and evening sections from 5:45pm to 7:10pm.  A comprehensive final examination will be given at the end of the semester.  The date for this final examination will be announced at the end of the semester. 

*     Makeup Exam Policy:  There will be NO makeup exams during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.

*     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. Teaching Assistants are also available in the math learning center.

*     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.

  

September 3

M

Labor Day ~ No Classes Scheduled

November 5

M

Last Day to Withdraw from Classes

November 20

T

Classes Follow a Thursday Schedule

November 21

W

Classes Follow a Friday Schedule

November 22-23

R-F

Thanksgiving Recess ~ No Classes Scheduled


 

Course Outline and Homework Assignments:


 

Section & Topics

Homework

Week 1  (9/4 - 9/7)

1.1:

Some Basic Math Models; Direction Fields

1

p. 7:

7,10,15,16

1.2:

Solutions of Some Differential Equations

2

p.15:

7,9,10,15

1.3:
2.1:

Classification of Differential Equations &
Integrating Factors

3

p.24:

1,2,5,8,12,14,17,18

Week 2  (9/10 – 9/14)

2.1:

Integrating Factors (cont.)

4

p.39:

1c,3c,7c,13,17,18,20

2.2:

Separable Equations

5

p.47:

1,2,3,7,10a,12a

2.4:

Differences Between Linear and Nonlinear Equations

6

p.75:

1,2,3,6,7,10,11

Week 3  (9/17 – 9/21)

2.4:
3.1:

Differences Between Lin. & Nonlin. Equ. (cont.) & Homogeneous Equ. w/Constant Coefficients

7

p.142:

1,3,6,8,9,10,12,16

3.1:

Constant Coefficients (cont.)

8

p.142:

17,18, 21,22

2.7:

Euler's Method

9

 

Study for EXAM I

Week 4  (9/24 – 9/28)

REVIEW FOR EXAM I ~ 09/26/07

10

       

Study for EXAM I

◄

COMMON EXAM I:

Wednesday~ September 26, 2007

►

3.2:

Fundamental Solutions of Linear Homogeneous Equations

11

p.151:

1,2,4,7,8,13,17

GO OVER EXAM I

 

 

 

*

MATLAB PROJECT 1 ASSIGNED

 

*

MATLAB 1 DUE 10/12/07

3.2:

Fundamental Solutions of Linear Homogeneous Equations (cont.)

12

p.151:

23,24,25

Week 5  (10/1 – 10/5)

3.3:

Linear Independence and the Wronskian

13

p.158:

2,4,5,6,9,10

3.4:

Complex Roots of the Characteristic Equation

14

p.164:

3,4,7,9,10,13,17,18,19

3.5:

Repeated Roots; Reduction of Order

15

p.172:

1,5,6,7,8,10,12,13

Week 6  (10/8 – 10/12)

3.5:

Repeated Roots; Reduction of Order (cont.)

16

p.172:

23,25,26,27,28,30

3.6:

Nonhomogeneous Equations; Undetermined Coefficients

17

p.184:

1,3,4,6,8,12

3.6:

Nonhomogeneous Equations; Undetermined Coefficients (cont.)

18

p.184:

*

13,15,16,17,18 and

MATLAB PROJECT 1 DUE

Week 7  (10/15 – 10/19)

3.7:

Variation of Parameters

19

p.190:

1,2,5,7,10

3.7:

Variation of Parameters (cont.)

20

p.190:

13,14,15,17,18

4.2-
4.3:

Higher Order Linear Equations

21

p.230:
p.235:

11,14; 
2,8

Week 8  (10/22 – 10/26)

REVIEW FOR EXAM II ~ 10/24/07

22

       

Study for EXAM II

◄

COMMON EXAM II:

Wednesday~ October 24, 2007

►

3.8:

Mechanical And Electrical Vibrations

23

p.203:

1,2,6,7,11,14,15

GO OVER EXAM II

 

 

 

3.8:
3.9:

Mechanical And Electrical Vibrations (cont.) &
Forced Vibrations

24

p.203:
p.214:

17,18,19,20,24  &
5,6,10,11,15,16

Week 9  (10/29 – 11/2)

6.1:

Definition of the Laplace Transform

25

p.312:

1,2,5,6,8,12,13,15,16

6.1:
6.2:

Definition of the Laplace Transform (cont.) &
Solution of Initial Value Problems

26

p.312:
p.322:

19,21,22  &
1,2,3,5

6.2:

Solution of Initial Value Problems (cont.)

27

p.322:

11,12,21,22,23,24

Week 10  (11/5 – 11/9)

*      

NOVEMBER 5, 2007: 

(M)

LAST DAY TO WITHDRAW FROM THIS COURSE

6.3:

Step Functions

28

p.239:

1,3,7,9,13,14,15

6.4:

Differential Equations with Discontinuous Forcing Functions

29

p.337:

1,3,5

6.4:

Differential Equations with Discontinuous Forcing Functions (cont.)

30

p.337:

6,7,9

Week 11  (11/12 – 11/16)

6.5:

Impulse Functions

31

p.344:

1,2,5,6

*

MATLAB PROJECT 2 ASSIGNED

 

*

MATLAB 2 DUE 11/30/07

6.6:

The Convolution Integral

32

p.351:

4,6,8,9,13,14,17

7.1:
7.2:

Introduction &
Review of Matrices

33

p.360:
p.372:

2, 4, 5   &
1,3,22,23

Week 12  (11/19 – 11/23)

*   

*   

NOVEMBER 20-21, 2007: 

NOVEMBER 22-23, 2007: 

(T-W)

(R-F)

Classes Follow a Thursday and Friday Schedule

Thanksgiving Recess ~ No Classes Scheduled

7.3:

Linear Algebraic Equations; LI, Eigenvalues, Eigenvectors

34

p.383:

15,16,18

7.5:

Homogeneous Linear Systems with Constant Coefficients

35

p.398:

1,4,7,9,10,15,16

Week 13  (11/26 – 11/30)

REVIEW FOR EXAM III ~ 11/28/07

36

       

Study for EXAM III

◄

COMMON EXAM III:

Wednesday~ November 28, 2007

►

GO OVER EXAM III

 

 

 

7.6:

Complex Eigenvalues

37

p.410:

2,3,9,11,13,28

10.1:

Two-Point Boundary Value Problems

38

p.575:

1,3,5,8,10,14,16,18

Week 14  (12/3 – 12/7)

10.2:

Fourier Series

39

p.585:

1,3,4,6,10,13,14,16,20,21

10.4:

Even and Odd Functions

40

p.600:

1,2,4,7,8

10.4:

Even and Odd Functions (cont.)

41

p.600:

17,18,20,21

Week 15  (12/10 – 12/12)

REVIEW FOR FINAL EXAM

42

       

Study for FINAL EXAM

Final Exam Week 

FINAL EXAM WEEK:  December 14-20, 2007

Prepared By:  Prof. Roman Andrushkiw

Last revised:  July 19, 2007

U: 092707