Barbara Prinari



Math 447/547, Methods of Applied Mathematics - Fall 2013

Welcome. This is the home page for the course Math 447/547, "Methods of Applied Mathematics".
Class meets Tuesday - Thursday from 3:05 to 4:20 pm in DWR 112.




Barbara Prinari
Office: EAS 281
Telephone: 719-255-3522
Office hours: Tuesday 11am - 12:30pm, Thursday 10:45am - 11:45am or by appointment


Applied Partial Differential Equations, by Richard Haberman, Pearson/Prentice Hall, 5th ed.

Topics to be covered:

1. Introduction: review, physical discussion of the heat equation (Ch. 1 - 1 week)
2. Method of separation of variables in one dimension (Ch. 2 - 2 weeks)
3. Fourier Series (Ch. 3 - 2 weeks)
4. Applications (Ch. 4 - 1 week)
5. Generalized Sturm-Liouville boundary value problems (Ch. 5 - 3 weeks)
6. Multidimensional boundary value problems (Ch. 7 - 4 weeks)

7. Non-homogeneous problems; BVPs in infinite space; Fourier Transforms (Ch. 8 & 10 - 2 weeks)

The schedule is tentative, and time periods are approximate.


There will be homework assignments due about every two weeks, usually on Tuesday.
No late homework will be accepted. However, the lowest homework score will be dropped.
Each homework assignment will include a number of starred problems that will count for the 547 level course credits.

Important: it is your responsibility to show your work and to present it in readable form. Answers without justification will receive no credit.

You must do the homework regularly. Doing and understanding the homework is extremely important in this class.
They can be challanging, so I advise you not to wait
until the last minute!


There will be 1 midterm exam and a final exam:

  • Midterm exam: Oct 17, 2013
  • Final exam: Dec 17, 2013

All midterm exams will take place in the classroom during regular class time.
Exams must be taken on the scheduled date. There will be no make-up exams, unless extenuating circumstances exist and arrangements have been made prior to the exam.
No books, notes, tables or calculators will be allowed on any of the exams.


Your course grade will be determined by your score in the exams (75%) and homework (25%).


September 12, 2013 is the last day to drop individual courses and get a full refund; it is also the last day to add courses without a special permission.

September 20, 2013 is the last day to drop ALL classes, withdraw from school for 80% adjustment.

October 04, 2013 is the last day to drop ALL classes, withdraw from school for 60% adjustment.

November 01, 2013 is the last day to withdraw without special permission from the Dean.

Disability services

Students with disabilities should notify me as soon as possible of any special needs. They should also provide me with their letters of certification from the Office of Disabilities (Main Hall 105, phone: 255-3354) within the first two weeks of class.

A word of caution

This course turns out to be very difficult. To do well, you should:
- Review background material;
- Study regularly;
- Read ahead each topic before class;
- Come to *every* class and ask questions;
- Review the material afterwards, stressing the understanding of concepts;
- Do the homework regularly;
- Seek help (from me or your SI or your classmates) when you don't understand something.
You are welcome (in fact, encouraged) to review with others and help each other. Note however that everything you turn in should be your own work.


UCCS Department of Mathematics
University of Colorado
Colorado Springs, CO 80933-7150
(719)255-3311 (office)
(719)255-3605 (fax)

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