Applicable Mathematics II
(MA 508-502)

SPRING  2008

Instructor: Dr. Jyoti Champanerkar
Office: ILB 423
Phone: (251) 414-8039
Office Hours: Mondays 1:30-3:00pm, Tuesdays 11:00am-12:30pm and Wednesdays 1:30-3:00pm (or by appointment).
E-mail:  (This is the best way to contact me.)

Class Meets: (Instructional Laboratory Building)  ILB 370, Mondays and Wednesdays, 4:30pm-5:45pm.
Class URL:

Jan 21 ~ MLK Holiday, No Class
Mar 10, 12 ~ Spring break, No Class
Apr 23 ~ Last class for MA 508

Important Dates:
Last day to drop this class: April 4, 2008 (4:59 pm)
Final Exam: Monday, April 28, 2008, 6:00pm-8:00pm

Course Objectives: This is the second part of a two-course sequence intended to provide a good foundation in the various areas of applicable mathematics for graduate students of mathematics, statistics, science and engineering. This course emphasizes on Fourier's methods, partial differential equations, and their applications. This course is designed to provide indepth understanding of the underlying concepts and the basic techniques of solving partial differntial equations.
Text: Advanced Engineering Mathematics, (Second Edition), Michael Greenberg. (ISBN: 0-13-321431-1)
Course Syllabus:
  • Chapter 17: Fourier Series, Fourier Integral, Fourier Transform, Sections 17.1-17.7 (4 weeks)
  • Chapter 18:  Diffusion Equation, Sections 18.1-18.4 (3 weeks)
  • Chapter 19: Wave Equation, Sections 19.1-19.4 (2.5 weeks)
  • Chapter 20: Laplace Equation, Sections 20.1-20.3 (3 weeks)
Homework Policy: Homework will be assigned regularly. Most of the homework will not be collected or graded. However, some homework may be collected and the score will be added to the quiz score. Note that, all homework problems cannot be discussed in class due to time constraints. Please see me during office hours (or by appointment) to discuss homework problems. You are encouraged to discuss homework problems with others.
Quizzes: There will be a 15-minute quiz (almost) every Monday. One (or two) worst quiz grade(s) may be dropped at the end of the semester. If you miss a quiz, there will be NO make-up quiz. For legitimate reasons such as those mentioned in the makeup exam policy, your score for the next quiz will be counted twice, upon presentation of valid proofs.
Exams: There will be two in class exams during the semester and one final exam at the end of the semester for this class.
  • Exam 1: February 11, 2008, Monday
  • Exam 2: March 31, 2008, Monday
  • Final Exam: April 28, 2008, Monday (6:00-8:00pm)
Makeup Exam Policy: There will be absolutely NO makeup Exams. In rare unfortunate situations such as illness, death in the family, accident etc., you must notify me of your inability to take the exam, immediately. In all cases, you must present proof for missing the exam. Acceptable forms of proof are doctor's certificate, police report, funeral home announcements etc., and these should clearly state the date and time. Under such circumstances, your score for the Final Exam may be counted towards the Exam(s) you missed.
Grading Policy:
  • Your total score will be determined as follows: (Quizzes & hw if any) 20% + (Exam 1) 25% + (Exam 2) 25% + (Final Exam) 30%
  • You must obtain at least 25% on the final exam in order to pass this class.
  • If you obtain at least 25% on the final, your letter grade based on the total score will be assigned as follows:  >=90 A; 75-89 B; 60-74 C; 50-59 D; <50 F.
Notification of course grades: Final grades will be posted to student accounts on PAWS. The confidentiality policy of the school does not permit the grades to be emailed or notified by phone.
Attendance: Attendance is mandatory. You are required to attend all lectures and lab hours. You are permitted three (3) unexcused absences. Every additional absence will result in your final grade to drop one letter. You are responsible for the material covered in class whether or not you were present.
Calculators: You are allowed to use calculators in class. You may be allowed to use calculators on some quizzes, but not on most of the quizzes and exams.
Cellphones / Beepers Policy: Use of cell phones and beepers is not permitted in the classroom at any time. If you have a cell phone or a beeper they must be kept on silent mode in the class. These devices are disruptive to the class and a student violating these policies will be asked to leave the classroom.

Disabilities: If you have a disability that requires academic accommodations, please see Ms. Andrea Agnew (Student Center 270, Phone: (251) 460-7212), obtain a certificate verifying the disability and provide it to me.
Disclaimer: The requirements and policies may be modified as circumstances dictate. Such changes will be provided to you in class and in writing.

Schedule of Lectures and Exams: (Tentative)
Quiz based on:
Material covered in class
Suggested Practice
HW Problems
Jan 7
17.2, 17.3
P849/1-17; P866/1-4 P849/5,12,14; P867/4f,g,i,n,o
Jan 9
P867/5,6,16,18 P868/16a,b,d
Jan 14
17.2, 17.3
17.3, 17.4
P867/18;  P873/1,2 P869/18a,b,d; P873/2e,f,g
Jan 16
P880/1,2,4,5 P880/1, 2a,d, 4, 5a,e, 6
Jan 21
MLK Holiday - No Class
Jan 23
Read all solved examples in the textbook.
Jan 28
P886/1,2 P886/1, 2a,b,c,g,h
Jan 30
Solved examples 1-4
P902/1a,c,e; 4a,c,e; 8a, 9a
Feb 4
P905/17 & Solved example 5
P919/ 2
P905/17 a-f
Feb 6
Review for Exam 1
Feb 11
Exam 1 (Sections 17.2 - 17.7 and 17.9)
Feb 13
P953/2, 3
P953/ 2, 3
Feb 18
P961/Ex2, P974/4,6,8,9,10a,b P961/Ex2, P974/4a,c,6a,d,g,9,10a
Feb 20
Extra Credit problems due.
Feb 25
Review of Ch 5, 17.10 Read solved examples.
Feb 27
Class Canceled
Mar 3
P989/1,2,4,5,9,10,11,12,13a,14 P989/10,11
HW will be collected on 3/5/8.
Mar 5
Previous HW due 19.2
P1030/1,2,5,6,7 P1030/1a,d,2a,5b
Mar 10
Spring Break - No Class
Mar 12
Mar 17
P1042/ 1,2,4,5,6a,c
P1042/1a,d,j, 2, 6a,c
Mar 19
P1053/1-6,8 P1053/2a,3a,4,5,6a
Mar 24
P1067/1-8 P1067/1a,d,h,k, 3c,e,f,g
Mar 26
Review of Chapters 18,19 for Exam 2
Mar 31
Exam 2
Apr 2
Apr 7
Apr 9
P1084/1,2,3 P1084/2a,c,e,g, 3a
Apr 14
20.3, 20.4
Apr 16
P1091/1,2 --
Apr 21
Review for the FINAL EXAM, Discussion of quiz problems
Apr 23
20.2-20.4 Quiz, Review, Evaluation --
Apr 28
FINAL EXAM    6:00pm-8:00pm