MATH 222 Course Syllabus

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 that 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.

 

Math 222-001:  Differential Equations

FALL 2009

 

Instructor:  Prof. Gordon   

Textbook:  Elementary Differential Equations and Boundary Value Problems, 9th Ed., by Boyce and DiPrima. 

Prerequisites:  Math 211 or Math 213 with a grade of C or better.

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

Homework & Quizzes:

17%

3 Common Midterm Exams:

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.
NOTE: 
This course needs to be passed with a grade of C or better in order to proceed to Math 321, Math 331, Math 371, Math 372, Math 432 or Math 473.

Drop Date:  Please note that the University Drop Date November 2, 2009 deadline will be strictly enforced.

Weekly Graded Homework Assignments: 

       http://m.njit.edu/~jobech/fall09/hmwk222.html

Homework and Quiz Policy:  Homework Assignments chosen from the text are listed below. 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.

Additional homework assignments will be collected and graded each week. They are to be handed in at the beginning of the first lecture each week, starting with Week 2.

Attendance:  Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.

MATLAB:  MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Several MATLAB assignments will be given out. These assignments have been designed to help you learn how to use this software in order to 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:

September 30, 2009

Exam 2:

October 28, 2009

Exam 3:

December 2, 2009

Final Exam Week:

December 11-17, 2009


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 make-up 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 7, 2009

M

Labor Day Holiday ~ University Closed

November 2, 2009

M

Last Day to Withdraw from this course

November 24, 2009

T

Classes follow a Thursday Schedule

November 25, 2009

W

Classes follow a Friday Schedule

November 26-29, 2009

R-Su

Thanksgiving Recess ~ University Closed


 

Course Outline and Homework Assignments:

 

Week
Dates

Section & Topic

Homework Assignments

 

Week 1
8/31 – 9/4

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

Week 2
9/7 – 9/11

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

Week 3
9/14 – 9/18

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)

Week 4
9/21 – 9/25

3.2:

Solutions of Linear Homogeneous Equations;
the Wronskian

10

p.155:

2,4,8,10,12,17

3.2:

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

11

p.155:

18, 24,25,26

3.3:

Complex Roots of the Characteristic Equation

12

p.163:

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

Week 5
9/28 – 10/2

└►

REVIEW FOR Common EXAM #1

13

└►

STUDY FOR EXAM #1

└►

MIDTERM EXAM I:  Wednesday ~ September 30, 2009

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

Week 6
10/5 – 10/9

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:

19,22,23,26

3.6:

Variation of Parameters

18

p.189:

1,2,5,7,10

Week 7
10/12 – 10/16

3.6:

Variation of Parameters (cont.)

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

Week 8
10/19 – 10/23

3.7:

Mechanical And Electrical Vibrations (cont.)

22

p.203:

12,17,18,24

3.8:

Forced Vibrations

23

p.215:

5, 7, 10, 11,16

6.1:

Definition of the Laplace Transform

24

p.311:

1,3,5,6,8,10

Week 9
10/26 – 10/30

└►

REVIEW FOR Common EXAM #2

25

└►

STUDY FOR EXAM #2

└►

MIDTERM EXAM II:  Wednesday ~ October 28, 2009

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

Week 10
11/2 – 11/6

└►

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

Week 11
11/9 – 11/13

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

7.1:
7.2:

Introduction &
Review of Matrices

33

p.359:
p.371:

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

Week 12
11/16 – 11/20 

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:

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

7.6:

Complex Eigenvalues

36

p.409:

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

Week 13
11/23 – 11/27 

└►

(TUES. & Wed. Nov. 24 & 25) Classes follow a Thursday & Friday schedule

10.1:

Two-Point Boundary Value Problems

37

p.583:

1,5,10,14,18

10.2:

Fourier Series

38

p.592:

1,5,13,15

└►

(Thurs.-Sun. Nov. 26-29) Thanksgiving Recess ~ University Closed

Week 14
11/30 – 12/4

└►

REVIEW FOR EXAM #3

39

└►

STUDY FOR EXAM #3

└►

MIDTERM EXAM III:  Wednesday ~ December 2, 2009

10.4:

Even and Odd Functions

40

p.608:

2,4,7,9 15,16

10.4:

Even and Odd Functions (cont.)

41

p.608:

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

Week 15
12/7 – 12/9

└►

REVIEW FOR FINAL EXAM

42

└►

STUDY FOR FINAL EXAM

 

Finals

Final EXAM WEEK:  December 11-17, 2009

 

Prepared By:  Prof. John Bechtold

Last revised:  August 3, 2009

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