Courses > Mathematics > Differential Analysis This course features a complete and detailed set of lecture notes as well as assignments




Courses > Mathematics > Differential Analysis

18.155 Differential Analysis

Fall 2004

Graphical representation of the regularity of functions.

Graphical representation of the regularity of functions. (Image by Prof. Richard Melrose adapted from the lecture notes.)

Course Highlights

This course features a complete and detailed set of lecture notes as well as assignments.

Course Description

This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.

*Some translations represent previous versions of courses.

Courses > Mathematics > Differential Analysis

 

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18-155Fall-2004.zip (ZIP - 5.57 MB)


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    Courses > Mathematics > Differential Analysis This course features a complete and detailed set of lecture notes as well as assignments

    Courses > Mathematics > Differential Analysis

    18.155 Differential Analysis

    Fall 2004

    Graphical representation of the regularity of functions.

    Graphical representation of the regularity of functions. (Image by Prof. Richard Melrose adapted from the lecture notes.)

    Course Highlights

    This course features a complete and detailed set of lecture notes as well as assignments.

    Course Description

    This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.

    *Some translations represent previous versions of courses.

    Courses > Mathematics > Differential Analysis

     

    Download this Course

     

    18-155Fall-2004.zip (ZIP - 5.57 MB)


    Click the link above to start downloading this course.

    You may need to download file decompression software such as WinZip or StuffIt to open the .ZIP file. For more information about downloading and using zipped courses, read our Frequently Asked Questions.

    All of the Materials included in the .ZIP file are governed by the same Creative Commons license that governs use of materials published on the MIT OCW page.
    12NextPage
    << Courses > Mathematics > Differential Analysis The main goal of this course is to give the students a solid foundation in the theory of elliptic and parabolicCourses > Mathematics > Measure and Integration This graduate-level course covers Lebesgue's integration theory with applications to analysis >>