Computational Science and Engineering I

Nine squares with different patterns (3 of them are sold black) in a big square.

The wave functions associated with the bound states of an electron in a hydrogen atom can be seen as the eigenvectors of the hydrogen atom Hamiltonian as well as of the angular momentum operator. (Wikimedia image © unknown author. License CC BY-SA 3.0. This content is excluded from our Creative Commons license. For more information, see


MIT Course Number

18.085 / 18.0851

As Taught In

Summer 2020


Undergraduate / Graduate

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Course Description

Course Features

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Course Description

This course provides the fundamental computational toolbox for solving science and engineering problems. Topics include review of linear algebra, applications to networks, structures, estimation, finite difference and finite element solutions of differential equations, Laplace's equation and potential flow, boundary-value problems, Fourier series, the discrete Fourier transform, and convolution. We will also explore many topics in AI and machine learning throughout the course.

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Chengzhao “Richard” Zhang. 18.085 Computational Science and Engineering I. Summer 2020. Massachusetts Institute of Technology: MIT OpenCourseWare, License: Creative Commons BY-NC-SA.

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