Course Calendar
Course 3150-4 meets Mon-Wed in WEB 1250 at 11:50am
Date | Week | Section | Topic |
---|---|---|---|
Jan 7,9 | 1 | 1.1 to 2.2 | Introduction, Periodic functions, Fourier series |
Jan 14,16 | 2 | 2.3, 2.4 | More on Fourier Series |
Jan 21,23 | 3 | 3.1, 3.2 | Examples, Wave equation |
Jan 28,30 | 4 | 3.2, 3.3, 3.4 | Wave Equation, Separation, D'Alembert |
Feb 4,6 | 5 | 3.4, 3.5 | D'Alembert's method, 1-Dim'l Heat Equation |
Feb 11,13 | 6 | 3.6, 3.7 | Boundary conditions, 2-Dim'l Equations |
Feb 20 | 7 | 3.8 | Laplace's Equation, Sample Exam 1 |
Feb 25,27 | 8 | 3.9 | Poisson's equation, Exam 1 Wed Feb 27 |
Mar 4,6 | 9 | 4.1, 4.7, 4.2 | Coordinates, Bessel functions, Drumhead |
Mar 9-17 | 10 | Spring Break | Sat 9 March to Sun 17 March |
Mar 18,20 | 11 | 4.3, 4.4 | Non-symmetric Drumhead, Steady-state heat disk |
Mar 25,27 | 12 | 4.5, 4.6 | Steady-state heat cylinder, Poisson's Equation |
Apr 1,3 | 13 | 7.1, 7.2 | Fourier Integral and Transform |
Apr 8,10 | 14 | 7.3, 7.4 | Fourier Transform method, Heat kernel, Sample Exam 2 |
Apr 15,17 | 15 | 7.6, Exam 2 | Fourier sine and cosine transforms, Exam 2 Wed April 17 |
Apr 22,24 | 16 | 7.8, 7.9 | Generalized function, Welding torch example |
Syllabus
Math 3150-4 Partial Differential Equations
Instructor.
Professor Grant B. Gustafson
Email: See the online door card: Here.
Office: JWB 113
- Gustafson's 3150 syllabus S2013.
syllabus ([an error occurred while processing this directive] pdf) - The textbook for the course is Nakhle Asmar, second edition. See the syllabus for details.
- The student solution manual for Asmar's second edition can be found here:
Student Solutions - 3150 format suggestions for reports
How to improve your written work. Writing reports. ([an error occurred while processing this directive] pdf)
Maple and Matlab
Maplesoft Quick Reference Cards
Click Here
Douglas Meade's Quick Reference Card for Maple 12 to 15 Click Here
A one-page pdf Matlab cheat sheet from Strang's linear algebra course at MIT Click Here
Details for maple 12 to 15 under unix, windows, OS/X
How to use maple 15 (2k text)
Utah Maple tutorial 2013 in html format.
Maple Tutorial Used in LCB115 maple intro lectures.
A rookie maple tutorial for the impatient from Indiana University Click Here
How to do maple graphics using slow internet
Low speed internet and maple graphics ([an error occurred while processing this directive] txt)
Peter Stone's Maple Resource page for a wide range mathematical topics Click Here
Douglas Meade's Quick Reference Card for Maple 12 to 15 Click Here
A one-page pdf Matlab cheat sheet from Strang's linear algebra course at MIT Click Here
Details for maple 12 to 15 under unix, windows, OS/X
How to use maple 15 (2k text)
Utah Maple tutorial 2013 in html format.
Maple Tutorial Used in LCB115 maple intro lectures.
A rookie maple tutorial for the impatient from Indiana University Click Here
How to do maple graphics using slow internet
Low speed internet and maple graphics ([an error occurred while processing this directive] txt)
Peter Stone's Maple Resource page for a wide range mathematical topics Click Here
Due Dates, Homework Problems, Reading
- Updated due dates 3150 Changes in due dates for submitted work
- Reading (2k text)
- Problems, problem notes, some answers
- 3150 Problems for Asmar Chapter 1: Week 1 Click Here
- 3150 Problems for Asmar Chapter 2: Weeks 1 to 3 Click Here
- 3150 Problems for Asmar Chapter 3: Weeks 4 to 8 Click Here
- 3150 Problems for Asmar Chapter 4: Weeks 9 to 13 Click Here
- 3150 Problems for Asmar Chapter 7: Weeks 14 to 16 Click Here
References in the PDF problems are to Edwards-Penney DE and BVP and all editions of Asmar PDE and BVP. The textbooks are available in the math library next to the LCB Math Center.
Exams
Gustafson's 3150 Midterm and Final Exams Spring 2013
- Midterm Exam 1, Wed Feb 27, 11:45am in WEB 1250
- Midterm Exam 2, Wed April 17, 11:45am in WEB 1250
- Final Exam, Thu May 2, 10:25am in WEB 1250
Gustafson's 3150 Midterm and Final Exams from Fall 2009
- Sample exam 1, Gustafson's 3150 course F2009. No solutions.
Gustafson's Exam 1 sample, F2009 - Exam 1, Gustafson's 3150 course F2009. No solutions.
Gustafson's Exam 1, F2009 - Sample exam 2, Gustafson's 3150 course F2009. No solutions.
Gustafson's Exam 2 sample, F2009 - Exam 2 with Solutions, Gustafson's 3150 course F2009
Josh Bailey's Exam 2 solutions F2009 - Sample Final Exam, Gustafson's 3150 course F2009. No solutions.
Gustafson's Final Exam sample F2009
Same pdf file as the exam 2 sample. The final exam sample is appended to the exam 2 sample. - Final Exam with Solutions, Gustafson's 3150 course F2009
Final exam F2009 with solutions
Lecture links
Below appear links to slides or documents projected in class.
Other 3150 Courses
Below appear archived files from the semesters indicated, for homework,
maple and matlab code, exams and exam solutions, syllabi, problem notes