Partial Differential Equations for Engineers

Math 3150

JWB 335
T Th 6:00-6:50 PM


Instructor:

David George
LCB 318
tel: 801-581-8340
fax: 801-581-4148
george@math.utah.edu
office hours: T Th 5:00-5:50 PM

Syllabus

Course Notes

Textbook

Optional Additional References:

Course Topics

We will cover sections in chapters 1-4 and 6-7 and if time permits some of chapter 8. Not all sections in the chapters will be covered. The central theme of the course is solution techniques for IBVPs (Initial and Boundary Value Problems for PDEs). This includes the Method of Separation of Variables and Eigenfunction Expansions, Boundary Value Problems, Fourier Series and Fourier Transforms for classical linear PDEs such as the wave equation, the diffusion equation and Laplace's equation.

Homework Assignments

Homework assignments will be assigned weekly, usually on Tuesdays and collected the following Tuesday in class. No homework will be accepted after 6:50pm, the end of class, on Tuesdays. Homework accounts for 25% of your grade.

Homework Assignment

Due Date

Solution Set

Average/Total Score

Homework #1 (.pdf) Tuesday Sept. 5 Solution Set # 1 (.pdf) 33/42
Homework #2 (.pdf) Tuesday Sept. 12 Solution Set # 2 (.pdf) 43/54
Homework #3 (.pdf) Thursday Sept 21 Solution Set # 3 (.pdf) 26/30
Homework #4 (.pdf) Tuesday Oct. 2. Solution Set # 4 (.pdf) 22/30
Homework #5 (.pdf) Tuesday Oct. 17 Solution Set # 5 (.pdf) 32/40
Homework #6 (.pdf) Tues. Oct. 24 Solution Set # 6 (.pdf) 30/40
Homework #7 (.pdf) Thurs. Nov. 9 Solution Set # 7 (.pdf) 16/20
Homework #8 (.pdf) Tues. Nov. 21 Solution Set # 8 (.pdf) 18/30
Homework #9 (.pdf) Thurs. Nov. 30 Solution Set # 9 (.pdf) 13/20
Homework #10 (.pdf) Thurs. Dec. 7 Solution Set # 10 (.pdf) 33/50

Exams

There will be 3 midterms and one comprehensive final. Each midterm is worth 15% of your grade. Together the midterms constitute 45% of your grade---more than the final, which is worth 30% of your grade.

Exam

Tentative Date

Solution Set

Class Average Score

Midterm #1 (.pdf) Thursday Sept. 21st. Midterm #1 Solutions(.pdf) 25/30
Review for Midterm #2 (.pdf) Not Due Review Solutions(.pdf) --
Midterm #2 (.pdf) Tuesday Oct. 24th. Midterm #2 Solutions(.pdf) 51/80
Midterm #3 (.pdf) Thurs. Nov. 30 Midterm #3 Solutions(.pdf) 34/42
Review for Final (.pdf) Not Due Review Solutions (.pdf) (addendum.pdf) --
Final (.pdf) Tuesday Dec. 12th Final Solutions (.pdf) 78/100

Final Grade Breakdown

The final grades in the course were assigned based on the following weighted percentage breakdown. The course was curved, but the curve agreed closely with fairly "traditional percentage grade assignments." Divide each percentile equally to determine +,- etc. To determine your final percentage, be sure and weight all of your best 9 homework assignments equally and all 3 midterms equally, and based on the percentages given in the syllabus, even though they had different amounts of scored points.
Weighted Percentage Grade Number of Students
90-100 A 7
75-90 B 10
60-75 C 5
45-60 D 1
<45.0 E 2

Figures and Movies

Some simulations of the 1D Wave Equation