Math 379 – Asymptotic Methods in Mathematics

This course will cover many exciting aspects of asymptotic methods, including but not limited to multiple scales, matched asymptotic expansions, stationary phase, WKB methods. This subject lies at the beautiful intersection between pure and applied mathematics, and indeed we will often switch between non-rigorous and rigorous techniques. This course is a must-have for anyone who likes to study Partial Differential Equations. Bon appetit!

Announcements

(12/03) The Final Exam will take place (at your convenience) anytime from Saturday, December 10 to Sunday, December 18. It will be a 6h take-home exam and you can pick it up anytime from 8:30 AM until 8:30 PM from the Registrar’s Office on the second floor of Hopkins Hall. It is a closed book and closed notes exam and no cheat sheets will be allowed. You can find a study guide below, so you know exactly what to study for.

(10/21) Thanksgiving-Announcement: There will be no class on Wednesday, November 23 and on Friday, November 25, and office hours for the week of November 21 are cancelled. I will have special office hours on Sunday, November 20, in case you’d like to see me.

(10/28) The Midterm will take place on Friday, October 28, from 10 to 10:50 AM in 6 Griffin (our usual classroom). It will be an in-class exam and no books/notes/cheat sheets will be allowed. You can find a study guide below, so that you’ll know exactly what to study for.

(10/14) On Friday, October 14 (and on that day only), lecture will exceptionally be held in 103 Stetson Court. Make sure to come to the correct classroom! Also Office Hours that day will be from 3 to 3:45 pm!

(10/7) Happy Mountain Day! Classes (and office hours) are cancelled today, and Homework 4 is now due on Wednesday, October 12.

(09/29) My birthday is on Thursday, September 29, and I will have a birthday celebration at 3 pm in 117 Bronfman! Be there, or be O(ε²) !

(09/09) Welcome to Math 379! Here is where you can find the syllabus, all the homework assignments, and info about the exams. I will also post announcements here, so make sure to regularly check out this webpage. Enjoy!

Syllabus

Here is the official syllabus of the course: Syllabus

Homework

Here you can find the homework-assignments with due dates.

Homework 1 (due Friday, September 16; Solutions)
Homework 2 (due Friday, September 23; Solutions)
Homework 3 (due Friday, September 30; Solutions)
Homework 4 (due Wednesday, October 12; Solutions)
Homework 5 (due Friday, October 14; Solutions)
Homework 6 (due Friday, October 21; Solutions)
Homework 7 (due Friday, November 4; Solutions)
Homework 8 (due Friday, November 11; Solutions)
Homework 9 (due Friday, November 18; Solutions)
Homework 10 (due Friday, December 2; Solutions)
Homework 11 (due Friday, December 9; Solutions)