MATH 331 Course Syllabus - SPRING 2013

NJIT Academic Integrity CODE:  All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT 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 University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

 

Math 331:  Introduction to Partial Differential Equations

 

Number of Credits:  3

 

Course Description:  Partial differential equations in science and engineering. Topics include initial- and boundary-value problems for parabolic, hyperbolic, and elliptic second-order equations. Emphasis is placed on separation of variables, special functions, transform methods, and numerical techniques. Effective From: Fall 2010

 

Prerequisites:  Math 211 or Math 213 and Math 222 with a grade of C or better.

Textbook:  Applied Partial Differential Equations by Richard Haberman (5th Ed); Pearson Prentice-Hall, ISBN: 0321797051

Instructor:   (for specific course-related information, follow the link below)

 

Math 331-002

Prof. Booty

Math 331-004

Prof. Moore

 

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

Homework:

40%

Midterm Exam:

25%

Final Exam:

35%


Your final letter grade will be based on the following tentative curve. NOTE:  This course needs to be passed with a grade of C or better in order to proceed to Math 440, Math 450H, Math 475, and Math 495.

A

88-100

C

60-66

B+

81-87

D

54-59

B

74-80

F

0-53

C+

67-73

 

 

 

Drop Date:  Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.

Email:  It is important that you regularly check your NJIT email account for class assignments and announcements from your instructor. Rutgers students should email the Instructor their preferred email address at the start of the semester.

Homework and Quizzes:  Homework assignments listed in the syllabus are tentative. Homework problem sets will be emailed by the instructor after each class. Homework is due on the assigned date; late homework is not accepted. Quizzes are given about once per week on an announced topic.

MATLAB Assignments:  Three MATLAB assignments will be given during the semester; for help with MATLAB see the Instructor or MATLAB tutors available in accordance with the posted schedule.

Attendance and Participation:  Attendance in this class is mandatory. Please make sure you read and fully understand the Department’s Attendance 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.

January 21, 2013

M

Dr. Martin Luther King, Jr. Day ~ University Closed

March 17-24, 2013

Su-Su

Spring Recess ~ No Classes Scheduled ~ University Open

March 26, 2013

T

Last Day to Withdraw from this course

March 29, 2013

F

Good Friday ~ University Closed

May 7, 2013

T

Classes follow a Friday Schedule, Last Day of Classes

May 8, 2013

W

Reading Day

May 9-15, 2013

T-W

Final Exams


 

Course Outline And Homework Assignments:

 

Week

Lecture

Sections

Topic

1

1

1.2

Derivation of the Heat Equation in 1D

2

1.3

Boundary Conditions

2

3

1.4

Equilibrium Temperature Distribution

4

1.5

Derivation of the Heat Equation in Higher Dimensions

3

5

2.1-2.3

Heat Equation, Solution by Separation of Variables

6

2.4

Solution by Separation of Variables, Continued

4

7

2.5

Laplace’s Equation, Solution by Separation of Variables

8

3.1-3.3

Fourier Series, Convergence

5

9

3.4-3.6

Fourier Series, Term-by-Term Operations

10

4.1-4.3

Derivation of the Wave Equation in 1D, the Vibrating String

6

11

4.4

Solution by Separation of Variables for the Vibrating String

12

 

Review for Midterm

7

13

 

Midterm Exam

14

5.1-5.3

Sturm-Liouville Eigenvalue Problems

8

15

5.4

Heat Conduction in a Non-Uniform Rod

16

5.5

Self-Adjoint Operators

9

17

5.6

The Rayleigh Quotient

18

5.7

Vibration of a Non-Uniform String

10

19

5.8

Mixed Boundary Conditions

20

6.1-6.3

Finite Difference Numerical Methods for PDEs

11

21

7.1-7.3

Examples in 2D and 3D, Vibrations of a Rectangular Membrane

22

7.7

Vibration of a Circular Membrane

12

23

7.8

More on Bessel Functions

24

8.1-8.2

Heat Conduction with Sources and Nonhomogeneous Boundary Conditions

13

25

8.3

Eigenfunction Expansion for Nonhomogeneous Problems

26

9.1-9.2

Green’s Function for the Heat Equation in 1D

14

27

9.3

Green’s Functions for BVP’s for ODEs

28

 

Review for Final Exam

Prepared By:  Prof. Michael Booty

Last revised:  January 4, 2013

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