Mathematical Methods of Applied Sciences II

MATH 6702

Lecture MW 12:30-1:45 Instructional Center 209
Instructor: John McCuan
Office Hours: MW 11:00-12:00 Skiles 209 (or by appointment)
Email: mccuangt23

proton.me
Course Page: http://www.math.gatech.edu/~mccuan/courses/6702/

Course Materials and Notes:

Text:
Mathematical Methods in the Physical Sciences
by Mary Boas (Wiley)

Topics/Sections Covered: Topics from Chapters 4,5,6,7,9,13

Supplementary text:

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems by Richard Haberman (Peirson)

Course Notes

Homework Assignments
and course schedule

Homework will be collected and checked for completion (on Canvas).
Specific problems may be checked for content.
Which problems will be checked for content will not be announced.
Complete and detailed solutions are expected.
Solutions should be neatly written or typed.
For detailed feedback on a specific problem, ask the instructor.
Due dates are recorded on the assignments page.
Due dates are not "deadlines." You may turn in homework at any time before the final exam. If you do not turn it it by the due date, then you my not (and you cannot expect to) receive any detailed feedback.

Exams will be, unless specified otherwise, "take home." You may treat them like any other assignment.

Grading Scheme:

Assignment 1 10%
Assignment 2 10%
Assignment 3 (Exam 1) 10%
Assignment 4 10%
Assignment 5 10%
Assignment 6 10%
Assignment 7 (Exam 2) 10%
Assignment 8 10%
Assignment 9 10%
Assignment 10 (Final Exam) 10%

(Below 60% F; 60-69% D; 70-79% C; 80-89% B; 90-100% A)

Final Exam Friday April 25, 11:20-2:10

Additional Course Materials:

Old Notes from Spring 2021:

Calculus of Variations (notes)

Integration and the Divergence (notes)

Infinite Dimensional Gradient Flow (notes)

Laplace's Equation (notes)

The Heat Equation (notes)

The Wave Equation (notes)

Some Solutions for Assignment 1

Some Solutions for Assignment 2 Mathematica Notebook

Some Solutions for Assignment 2 (corrected)

More Solutions for Assignment 2 (and maybe more corrections too)

Some Solutions for Assignment 3

Many of the course materials below are from Spring 2020 and will be changed for the 2021 version of this course.

Green's Function (Part 2)

Mollification (rough draft)

Mollifiers

Assignments from Spring 2021
A dynamic record of topics covered in the lecture, posted assignments, and due dates. (Actually, it's not so dynamic anymore in 2023.)

Link to GT code

Old Notes from Spring 2023:

Some solutions for problems in Assignment 1

Some solutions for problems in Assignment 2

Existence of C^1 inclination angle for curves (draft)

Partial solutions for Assignment 5

How much time to spend on MATH 6702

A solution of Problem 3 Assignment 7

n dimensional volumes of n dimensional balls
This also constitutes part (a large part) of a solution of Problem 1 Assignment 1

A solution of Problem 10 in Assignment 14

Miscelaneous Extra Course Materials:

Lecture Slides