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Mathematical Methods for Quantitative Finance


Provider
coursera

Price
Free

School
University of Washington

Type
University

Instructor
Kjell Konis

Categories
Mathematics, Economics & Finance, Business

Duration
8 weeks

Format
Video

Language
English

Description
The Mathematical Methods for Quantitative Finance course reviews the mathematical methods fundamental for the study of quantitative and computational finance. The areas of focus include calculus and multivariable calculus, constrained and unconstrained optimization, and linear algebra. Topics covered include the following: Functions and inverse functions Limits, derivatives, partial derivatives, and chain rule Integrals and multiple integrals, changing the order of differentiation and integration Taylor series approximations Newton’s method Lagrange multiplier method Vector and matrix arithmetic, determinants, eigenvalue-eigenvector decomposition, singular value decomposition Numerical methods for optimization Course goal: Upon completion of the course students will know the fundamental mathematical concepts needed to effectively study quantitative finance areas such as fixed income, options and derivatives, portfolio optimization, and quantitative risk management. Course Objectives: Upon completion of the course students will: Understand the concept of a limit, differentiation, and integration; Be able to compute partial derivatives and multiple integrals; Understand the utility of matrix decompositions; Be able to use Lagrange multipliers to solve constrained optimization problems; and Apply the above methods to problems arising in finance.