3 Credit hours -  Summer 2024 - CRN56648 (BG), CRN56649 (BU), and CRN50455 (Q)
 (May 8, 2024 Version)

Lectures: Monday, Wednesday, Friday in person in J Erskine Love Building, Room 184.
Lectures run from 14:00 to 15:15. Lectures will be recorded, and recordings placed in Media Gallery. Students may also watch lectures remotely through Zoom. A link will be sent before classes.

Instructor Information
Doron Lubinsky, lubinsky@math.gatech.edu,
Office hours: Monday, Wednesday 12:00-13:00 via Zoom or in person in Skiles 237A

General Information 

Description
The course provides an introduction to classical analytical methods for solving partial differential equations. The main tools will be separation of variables, Fourier series and the Laplace transform. The topics to be covered are:

(1(1) Fourier series and Fourier integrals

(2(2) The Sturm-Liouville Theorem

(3(3)  The heat equation

(4(4)  The wave equation

(5(5)  Laplace and Poisson equations

(6(6)  Laplace transform

(7(7)  Heat flow using the Laplace transform.

Course Goals and Learning Outcomes

·       Computing Fourier series and study their convergence.

·       Using separation of variables on the heat and wave equations.

·       Using polar and cylindrical coordinates for the Laplace and Poisson equations

·       Applying the method of eigenfunction expansions

·       Computing Laplace transforms and applying them to ordinary differential equations

·       Applying the Laplace transforms to heat flow problems

Course Requirements & Grading
There will be regular Homework, 2 midterm tests, and a final exam

The items are weighted as follows:
Homework: 35%
Midterm tests: 40%  (Each midterm counts 20%)
Final exam:  25%
No extra credit.

Description of Graded Components

Homework
There will be regular graded homework, throughout the course. Homeworks will be posted on Gradescope, and students must upload their solutions to Gradescope.

Midterm Tests
There will be 2 midterm tests, written during class.
TENTATIVE  dates of tests:
Test 1: Monday 3 June
Test 2: Monday 1 July
STUDENTS IN THE Q SECTION WILL HAVE IN PERSON PROCTORS MONITOR THEIR TESTS.
It is emphasized that these test dates may be changed due to unforeseen circumstances.

Final Exam
The final exam will be comprehensive.
The final exam is on Wednesday 31 July, 2:40pm-5:30pm
Makeup Tests
These will only be given where there is a medical certificate provided, or approved university absence.

COVID IMPACT ON TESTS AND LECTURES
Covid issues might force a change to the above arrangements for lectures and tests.

Grading Scale

You can be guaranteed at least the following grades if your percentage lies in the specified range:

A          90-100%

B          80-89%

C          70-79%

D          60-69%

F          0-59%

There will also be a curve that might allow e.g. an A for a grade slightly lower than 90%. This is decided at the end of the course based on the distribution of final percentages in the class.

See http://registrar.gatech.edu/info/grading-system for more information about the grading system at Georgia Tech.]

Course Materials 

Course Text
Boundary Value Problems, 6^th edn., by David Powers, Academic Press, Elsevier, 2010.
Additional Materials/Resources