Take-home exam 2
Problems: 8.12, 8.16, 9.1 from [FJ]
Due: Mon, Dec 15
Due: Mon, Dec 15
posted by arshak | 12:24 AM
MA54200 Distributions and Applications
Purdue University Fall 2008
Thursday, December 4, 2008
Friday, November 7, 2008
Homework
All problems are from [FJ]
#4 Due Fri, Nov 21: 6.3, 7.2, 8.2, 8.4
#3 Due Fri, Oct 31: 4.1, 4.5, 5.2, 5.4
#2 Due Fri, Sep 26: 2.1, 2.3, 2.6, 2.14, 3.3
[Solutions]
#1 Due Fri, Sep 12: 1.3, 1.5, 1.6, 1.9
[Solutions]
#4 Due Fri, Nov 21: 6.3, 7.2, 8.2, 8.4
#3 Due Fri, Oct 31: 4.1, 4.5, 5.2, 5.4
#2 Due Fri, Sep 26: 2.1, 2.3, 2.6, 2.14, 3.3
[Solutions]
#1 Due Fri, Sep 12: 1.3, 1.5, 1.6, 1.9
[Solutions]
posted by arshak | 4:49 PM
Friday, October 3, 2008
Tuesday, September 16, 2008
Course Log
Planned
Wed, Sep 17: §2.8 Duality, §3.1 Continuous linear forms and distributions with compact support.
Covered
Mon, Sep 15: §2.6 Linear differential operators, §2.7 Division in D'(R)
Fri, Sep 12: §2.4 Primitives in D'(R), §2.5 Product of a distribution and a smooth function
Wed, Sep 10: §2.2 Some examples (cont) §2.3 A distribution by analytic continuation
Mon, Sep 8: §2.1 The derivatives of a distribution, §2.2 Some examples.
Fri, Sep 5: §1.4 Localization, §1.5 Convergence of distributions
Wed, Sep 3: §1.3 Distributions of finite order; §1.4 Localization, partition of unity
Fri, Aug 29: §1.2 Convolutions, Theorem 1.2.1; §1.3, Theorem 1.3.1
Wed, Aug 27: §1.2 Test Functions; §1.3 Distributions, Theorem 1.3.2
Mon, Aug 25: Intro, §1.1
Wed, Sep 17: §2.8 Duality, §3.1 Continuous linear forms and distributions with compact support.
Covered
Mon, Sep 15: §2.6 Linear differential operators, §2.7 Division in D'(R)
Fri, Sep 12: §2.4 Primitives in D'(R), §2.5 Product of a distribution and a smooth function
Wed, Sep 10: §2.2 Some examples (cont) §2.3 A distribution by analytic continuation
Mon, Sep 8: §2.1 The derivatives of a distribution, §2.2 Some examples.
Fri, Sep 5: §1.4 Localization, §1.5 Convergence of distributions
Wed, Sep 3: §1.3 Distributions of finite order; §1.4 Localization, partition of unity
Fri, Aug 29: §1.2 Convolutions, Theorem 1.2.1; §1.3, Theorem 1.3.1
Wed, Aug 27: §1.2 Test Functions; §1.3 Distributions, Theorem 1.3.2
Mon, Aug 25: Intro, §1.1
posted by arshak | 1:30 AM
Saturday, August 16, 2008
Course Information
Schedule: MWF 12:30 - 1:20pm in MATH211
Instructor: Arshak Petrosyan
Office Hours: MWF 10:30 -11:30am, or by appointment, in MATH610
Textbook:
[FJ] F. G. Friedlander and M. Joshi, Introduction to the Theory of Distributions, Cambridge University Press, 2nd edition.
Prerequisite: MA544 and a knowledge of linear algebra
Course Description:
The theory of distributions is an extension of classical analysis dealing with the most general notion of differentiability. It is of particular importance in partial differential equations (PDEs) and has applications in virtually every field of modern analysis. This is an introductory course where we will study the basic properties of distributions, convolutions and Fourier transforms, Sobolev spaces, as well as applications to PDEs.
Homework: There is going to be a homework assignment due every other Friday. Assignments will be posted on this page.
Exams: We will have a (take home) midterm exam as well as a final.
Instructor: Arshak Petrosyan
Office Hours: MWF 10:30 -11:30am, or by appointment, in MATH610
Textbook:
[FJ] F. G. Friedlander and M. Joshi, Introduction to the Theory of Distributions, Cambridge University Press, 2nd edition.
Prerequisite: MA544 and a knowledge of linear algebra
Course Description:
The theory of distributions is an extension of classical analysis dealing with the most general notion of differentiability. It is of particular importance in partial differential equations (PDEs) and has applications in virtually every field of modern analysis. This is an introductory course where we will study the basic properties of distributions, convolutions and Fourier transforms, Sobolev spaces, as well as applications to PDEs.
Homework: There is going to be a homework assignment due every other Friday. Assignments will be posted on this page.
Exams: We will have a (take home) midterm exam as well as a final.
posted by arshak | 6:43 PM