Topics in Mathematics with Applications in Finance MIT

 Business
This course explores mathematical concepts and techniques used in the financial industry.

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Lecture 1: Introduction, Financial Terms and Concepts
In the first lecture of this course, the instructors introduce key terms and concepts related to financial products, markets, and quantitative analysis.

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Lecture 2: Linear Algebra
This lecture is a review of the linear algebra needed for the course, including matrices, linear transformations, eigenvalue, and eigenvectors.

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Lecture 3: Probability Theory
This lecture is a review of the probability theory needed for the course, including random variables, probability distributions, and the Central Limit Theorem.

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Lecture 5: Stochastic Processes I
This lecture introduces stochastic processes, including random walks and Markov chains.

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Lecture 6: Regression Analysis
This lecture introduces the mathematical and statistical foundations of regression analysis, particularly linear regression.

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Lecture 7: Value At Risk (VAR) Models
This is an applications lecture on Value At Risk (VAR) models, and how financial institutions manage market risk.