Partial Differential Equations for Engineering Students

Math 3150, Spring 2011 (http://www.math.utah.edu/~docampo/math3150)

Instructor — Roi Docampo Álvarez (docampo@math.utah.edu)

Meeting — MW 11:50-12:40, MEB 2325.

Office Hours — MW 10:40-11:40, LCB 116

Textbook — "Partial Differential Equations (with Fourier Series and Boundary Value Problems)", by Nakhlé H. Asmar, Second Edition. The author provides a student solutions manual in his webpage (http://www.math.missouri.edu/~nakhle/).

Course Description — The course is a basic introduction to partial differential equations in two or fewer space variables. Main topics: Fourier series and boundary-value problems for the wave, heat, and Laplace equations, separation of variables, Bessel functions, and Fourier transform. We will cover sections 1.1-1.2, 2.1-2.4, 3.1-3.8, 4.1-4.4, and 7.1-7.4 of the textbook. A tentative schedule can be found hereat http://www.math.utah.edu/~docampo/math3150/syllabus.html.

Grading — There will be weekly homework assignments, three in-class midterms, and a comprehensive final exam. The homework will count for 20% of the grade, the midterms for 50%, and the final exam for 30%.

Midterms and Final — Exams take place in MEB 2325.

First midtermFebruary 9, 11:50am to 12:40am
Second midtermMarch 14, 11:50am to 12:40am
Third midtermApril 20, 11:50am to 12:40am
FinalMay 3, 10:30am to 12:30pm

Homework Assignments — Weekly assignments and their due dates will be posted on the website. Homework must be turned in at the beginning of class. Late homework is not accepted.

Due Date Assignment
Jan. 19 Section 1.1: 1, 2a, 3a
Section 1.2: 3, 5a, 7, 15, 16
Jan. 24 Section 2.2: 2a, 4a, 5a, 6a, 9a
Jan. 31 Section 2.3: 1, 2, 3, 4, 5
6, 7, 8
Feb. 9 Section 2.4: 2, 3, 4, 5, 8
13, 14, 16, 17b
March 2 Section 3.3: 4a, 6a, 8a, 9a, 11
Section 3.5: 2, 6, 12, 13, 14
March 2
(extra credit)
Section 3.5: 10, 16
March 7 Section 3.7: 1a 3a 5a 11, 13
Section 3.8: 1, 3, 5
March 30 Section 4.8: 17a, 19a, 23, 25, 29
April 13 Section 4.2: 1, 3, 5, 7
Section 4.3: 1, 3, 5
Section 4.4: 1, 3, 5, 7
Section 7.3: 1, 2, 3, 4, 5
8, 9, 10, 16, 18

Downloads — Here are some files that you might find useful.

Sample Midterm 1: sample1.pdf

Solutions to Midterm 1: midterm1-solutions.pdf

Slides from March 7: slides-2011-03-07.nb

Sample Midterm 2: sample2.pdf

Solutions to Midterm 2: midterm2-solutions.pdf

Sample Midterm 3: sample3.pdf

Solutions to Sample Midterm 3: sample3-solutions.pdf

Solutions to Midterm 3: midterm3-solutions.pdf

ADA Statement — The Americans with Disabilities Act requires that reasonable accommodations be provided for students with physical, cognitive, systemic, learning, and physical disabilities. Please contact me at the beginning of the semester to discuss any such accommodations you may require for this course.