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 222-012:

differential equations

SPRING 2009

Course Schedule Link

 

 

»      Instructor:  Prof. Rotstein

»      Textbook:  Elementary Differential Equations and Boundary Value Problems, 9th 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 March 30, 2009 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 exam week. Midterm exams are held on Wednesdays on the following days:

Exam 1

February 11, 2009

4:15 – 5:40pm

5:45pm to 7:10pm

Exam 2

March 11, 2009

4:15 – 5:40pm

5:45pm to 7:10pm

Exam 3

April 22, 2009

4:15 – 5:40pm

5:45pm to 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. Make sure you read and fully understand the department's Examination Policy.  This policy will be strictly enforced.

 

»      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.

 

January 19, 2009

M

Dr. Martin Luther King Jr. Holiday ~ University Closed

March 16-22, 2009

M-F

Spring Recess ~ No Classes Scheduled

March 30, 2009

M

Last Day to Withdraw from Classes

April 10, 2009

F

Good Friday ~ University Closed

May 5, 2008

T

Classes Follow a Friday Schedule, Last Day of Classes

 

 

Course Outline and Homework Assignments:

 

Week
Dates

Section & Topic

Homework Assignments

1
 1/19 - 1/23

1.1:

Some Basic Math Models; Direction Fields

1

p. 7:

7,10,15,16,23

1.2:

Solutions of Some Differential Equations

2

p.15:

7,9,10,13,16

1.3:

Classification of Differential Equations

3

p.24:

1,2,5,8,12,14,17,20

2
 1/26 – 1/30

2.1:

Integrating Factors

4

p.39:

 3c, 7c, 13,16,18

2.2:

Separable Equations

5

p.47:

2,4,7,9a,15a

2.4:

Differences Between Linear and Nonlinear Equ.

6

p.75:

1,3,6,7,10,12

3
 2/2 – 2/6

3.1:

Homogeneous Equ. with Constant Coefficients

7

p.144:

1,3,6,8,10,12

3.1:

Constant Coefficients (cont.)

8

p.144:

 17,18,20, 21,22

2.7:

Euler's Method

9

p.109:

 1(a,d),2(a,d)

4
 2/9 – 2/13

»

Review for Exam I ~ 02/11/09

10

»

Study for EXAM I

Common Exam 1:  Wednesday ~ February 11, 2009

3.2:

Solutions of Linear Homogeneous Equations;
the Wronskian

11

p.155:

2,4,8,10,12,17

Ü

GO OVER EXAM 1

 

 

 

»

MATLAB PROJECT 1 ASSIGNED

 

»

MATLAB 1 DUE 02/26-27/09

3.2:

Solutions of Linear Homogeneous Equations;
the Wronskian  (cont.)

12

p.155:

18, 24,25,26

5
 2/16 – 2/20

3.3:

Complex Roots of the Characteristic Equation

13

p.163:

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

3.4:

Repeated Roots; Reduction of Order

14

p.171:

1,5,7,10,12

3.4:

Repeated Roots; Reduction of Order (cont.)

15

p.173:

23,25,28

6
 2/23 - 2/27

3.5:

Nonhomogeneous Equations;
Method of Undetermined Coefficients

16

p.183:

3,6,12,15,17

3.5:

Nonhomogeneous Equations;
Undetermined Coefficients (cont.)

17

p.183:

Ü

19,22,23,26

MATLAB PROJECT 1 DUE

3.6:

Variation of Parameters

18

p.189:

1,2,5,7,10

7
 3/2 – 3/6

3.6:

Variation of Parameters (cont’d)

19

p.189:

13,15,19

4.2-
4.3:

Higher Order Linear Equations

20

p.232:
p.237:

11,14, 29
2,8,13,15

3.7:

Mechanical And Electrical Vibrations

21

p.202:

1,2,5, 7,11

8
 3/9 – 3/13

»

Review for Exam II ~ 03/11/09

22

»

Study for EXAM II

Common Exam 2:  Wednesday ~ MARCH 11, 2009

3.7:

Mechanical And Electrical Vibrations (cont.)

23

p.203:

12,17,18,24

Ü

Go over EXAM 2

 

 

 

3.8:

Forced Vibrations

24

p.215:

5, 7, 10, 11,16

9
 3/16 - 3/20

SPRING RECESS:  MaRCH 16–20, 2009 ~ NO CLASSES SCHEDULED

10
 3/23 - 3/27

6.1:

Definition of the Laplace Transform

25

p.311:

1,3,5,6,8,10

6.1:

Definition of the Laplace Transform (cont.)

26

p.311:

12,13,15,17

6.2:

Solution of Initial Value Problems

27

p.320:

1,2,3,7,8,11

11
 3/30 - 4/3

»      March 30, 2009:    (M)    LAST DAY TO WITHDRAW FROM THIS COURSE

6.2:

Solution of Initial Value Problems (cont.)

28

p.320:

13,21,28,29,30

6.3:

Step Functions

29

p.328:

6,9,13,15,20,21

6.4:

Differential Equations with Discontinuous Forcing Functions

30

p.337:

2,3,5,7,9

»

MATLAB PROJECT 2 ASSIGNED

 

»

MATLAB 2 DUE 04/16-17/09

12
 4/6 - 4/10

6.5:

Impulse Functions

31

p.343:

1,2,5,6,9

6.6:

The Convolution Integral

32

p.351:

4,6,8,9,14,17

»      APRIL 10, 2009:    (F)    GOOD FRIDAY ~ No Classes Scheduled

13
 4/13 - 4/17

7.1:
7.2:

Introduction &
Review of Matrices

33

p.359:
p.371:

2, 4, 5 &
1,2,12,22,23

7.3:

Linear Algebraic Equations; LI,
Eigenvalues, Eigenvectors

34

p.383:

1,5,16,18,22

7.5:

Homogeneous Linear Systems with
Constant Coefficients

35

p.398:

Ü

1(a),4(a),7(a),15,16

MATLAB PROJECT 2 DUE

14
 4/20 - 4/24

»

Review for Exam III ~ 04/22/09

36

»

Study for EXAM III

Common Exam 3:  Wednesday ~ APRIL 22, 2009

7.6:

Complex Eigenvalues

37

p.409:

2(a),3(a),9,10,28(a,d)

Ü

GO OVER EXAM 3

 

 

 

10.1:

Two-Point Boundary Value Problems

38

p.583:

1,5,10,14,18

15
 4/27 - 5/1

10.2:

Fourier Series

39

p.592:

1,5,13,15

10.4:

Even and Odd Functions

41

p.608:

2,4,7,9 15,16

10.4:

Even and Odd Functions (cont.)

42

p.608:

21, 23(a,b), 27(a,b)

16
 5/4 – 5/5

»      May 5, 2009:    (T)    Classes Follow a Friday Schedule

»

Review for FINAL EXAM

 

»

Study for FINAL EXAM

Finals

FINAL EXAM WEEK:  May 7 – 13, 2009

 

Prepared By:  Prof. Roman Andrushkiw

Last revised:  Dec. 16, 2008