
Lecture 4: Linear Algebra (cont.); Probability Theory
MIT 18.642 Topics in Mathematics with Applications in Finance, Fall 2024
Instructor: Peter Kempthorne
View the complete course: https://ocw.mit.edu/courses/18-642-topics-in-mathematics-with-applications-in-finance-fall-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP601Q2jo-J_3raNCMMs6Jves
The lecture provides an overview of key linear algebra concepts such as eigenvalues, eigenvectors, matrix diagonalization, and singular value decomposition, emphasizing their applications in modeling dynamic systems and data analysis. It also introduces foundational probability theory concepts, including distributions, moments, covariance, principal component analysis, and their relevance to finance, portfolio management, and stochastic modeling.
License: Creative Commons BY-NC-SA
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We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Instructor: Peter Kempthorne
View the complete course: https://ocw.mit.edu/courses/18-642-topics-in-mathematics-with-applications-in-finance-fall-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP601Q2jo-J_3raNCMMs6Jves
The lecture provides an overview of key linear algebra concepts such as eigenvalues, eigenvectors, matrix diagonalization, and singular value decomposition, emphasizing their applications in modeling dynamic systems and data analysis. It also introduces foundational probability theory concepts, including distributions, moments, covariance, principal component analysis, and their relevance to finance, portfolio management, and stochastic modeling.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
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