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 222-009:
Math Course Title
Fall 2006
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Instructor: Prof.
Rotstein
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Textbook: Elementary
Differential Equations and Boundary Value Problems, 8th Ed., by Boyce and DiPrima
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Grading Policy: The final grade in this course will be
determined as follows:
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ª Homework + Quizzes: |
|
17% |
|
ª 3 Common Exams: |
|
51% |
|
ª Final Exam: |
|
32% |
Please note that the University Drop Date November 6, 2006 deadline will be strictly enforced.
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Homework Policy: Links to homework assignments, to be
collected and graded each week, are given on the course cover page. These Graded Homework
Assignments are to be handed in at the beginning of the first lecture each
week, starting with week 2. In addition,
a list of Supplemental Homework Assignments chosen from the text is attached to
this document. Students are strongly
encouraged to work through these supplemental problems after each lecture in
order to gain a better understanding of the course material.
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MATLAB: MATLAB is a mathematical
software 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.
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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:
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Exam 1 |
September 27, 2006 |
|
Exam 2 |
October 25, 2006 |
|
Exam 3 |
November 29, 2006 |
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.
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.
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Section/Topic |
Homework Assignments: |
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Week 1 (9/4 - 9/8) |
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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: |
Classification of Differential
Equations & |
3 |
p.24: |
1,2,5,8,12,14,17,18 |
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Week 2
(9/11
- 9/15) |
||||
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2.1: |
Integrating Factors (cont.) |
4 |
p.39: |
1c,3c,7c,13,17,18,20 |
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2.2: |
Separable Equations |
5 |
p.47: |
1,2,3,7,10a,12a |
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2.4: |
Differences Between Linear and
Nonlinear Equations |
6 |
p.75: |
1,2,3,6,7,10,11 |
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Week 3 (9/18 - 9/22) |
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2.4: |
Differences Between Linear and
Nonlinear Equations (cont.) |
7 |
p.142: |
1,3,6,8,9,10,12,16 |
|
3.1: |
Constant Coefficients |
8 |
p.142: |
17,18,
21,22 |
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2.7: |
Euler's Method |
9 |
ª |
Study
for EXAM I |
|
Week 4 (9/25 - 9/29) |
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|
ª
|
REVIEW FOR EXAM I ~ 9/27/06 |
10 |
ª |
Study
for EXAM I |
|
3.2: |
Fundamental Solutions of Linear
Homogeneous Equations |
11 |
p.151: |
1,2,4,7,8,13,17 |
|
¥ COMMON EXAM I: September 27, 2006 ¥ |
||||
|
ª
|
GO OVER EXAM I |
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3.2: |
Fundamental Solutions of Linear
Homogeneous Equations (cont.) |
12 |
p.151: |
23,24,25 |
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Week 5 (10/2 - 10/6) |
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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 |
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Week 6 (10/9 - 10/13) |
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|
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 |
|
Week 7 (10/16 - 10/20) |
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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 |
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4.2- |
Higher Order Linear Equations |
21 |
p.230: |
11,14; |
|
Week 8
(10/23
- 10/27) |
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|
ª
|
REVIEW FOR EXAM II ~ 10/25/06 |
22 |
ª |
Study
for EXAM II |
|
3.8: |
Mechanical And Electrical
Vibrations |
23 |
p.203: |
1,2,6,7,11,14,15 |
|
¥ COMMON EXAM II: October 25, 2006 ¥ |
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|
ª
|
GO OVER EXAM II |
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|
3.8: |
Mechanical And Electrical
Vibrations (cont.) & |
24 |
p.203: |
17,18,19,20,24 & |
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Week 9
(10/30
- 11/3) |
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|
6.1: |
Definition of the |
25 |
p.312: |
1,2,5,6,8,12,13,15,16 |
|
6.1: |
Definition of the |
26 |
p.312: |
19,21,22 & |
|
6.2: |
Solution of Initial Value
Problems (cont.) |
27 |
p.322: |
11,12,21,22,23,24 |
|
Week 10 (11/6 - 11/10) |
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ª
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NOVEMBER 6, 2006: LAST
DAY TO WITHDRAW FROM THIS COURSE |
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6.3: |
Step Functions |
28 |
p.239: |
1,3,7,9,13,14,15 |
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6.4: |
Differential Equations with
Discontinuous Forcing Functions |
29 |
p.337: |
1,3,5 |
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6.4: |
Differential Equations with
Discontinuous Forcing Functions (cont.) |
30 |
p.337: |
6,7,9 |
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Week 11 (11/13 - 11/17) |
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6.5: |
Impulse Functions |
31 |
p.344: |
1,2,5,6 |
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6.6: |
The Convolution Integral |
32 |
p.351: |
4,6,8,9,13,14,17 |
|
7.1: |
Introduction & |
33 |
p.360: |
2, 4, 5 & |
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Week 12 (11/20 - 11/24) |
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ª
ª
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November
21, 2006: Classes follow a Thursday
schedule November
22, 2006: Classes follow a Friday schedule |
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7.3: |
Linear Algebraic Equations; LI,
Eigenvalues, Eigenvectors |
34 |
p.383: |
15,16,18 |
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7.5: |
Homogeneous Linear Systems with
Constant Coefficients |
35 |
p.398: |
1,4,7,9,10,15,16 |
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|
THANKSGIVING RECESS |
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Week 13 (11/27 - 12/1) |
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|
ª
|
REVIEW FOR EXAM III ~ 11/29/06 |
36 |
ª |
Study
for EXAM III |
|
7.6: |
Complex Eigenvalues |
37 |
p.410: |
2,3,9,11,13,28 |
|
¥ COMMON EXAM III: November 29, 2006 ¥ |
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|
ª
|
GO OVER EXAM III |
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10.1: |
Two-Point Boundary Value
Problems |
38 |
p.575: |
1,3,5,8,10,14,16,18 |
|
Week 14 (12/4 - 12/8) |
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10.2: |
Fourier Series |
39 |
p.585: |
1,3,4,6,10,13,14,16,20,21 |
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10.4: |
Even and Odd Functions |
40 |
p.600: |
1,2,4,7,8 |
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10.4: |
Even and Odd Functions (cont.) |
41 |
p.600: |
17,18,20,21 |
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Week 15 (12/11 - 12/13) |
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|
ª
|
REVIEW FOR FINAL EXAM |
|
ª |
Study
for FINAL |
|
Final Exam
Week (12/15 - 12/21) |
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FINAL EXAM WEEK: DECEMBER 15-21, 2006 |
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Prepared By: Prof. John Bechtold
Last revised: August 1, 2006
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September 4 |
M |
Labor Day – No Classes Scheduled |
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November 6 |
M |
Last Day to Withdraw from Classes |
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November 21 |
T |
Classes Follow a Thursday Schedule |
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November 22 |
W |
Classes Follow a Friday Schedule |
|
November 23-24 |
R-F |
Thanksgiving – No Classes Scheduled |