**Coursera - Mathematical Methods for Quantitative Finance**

WEBRip | English | MP4 | 960 x 540 | AVC ~63.8 kbps | 25 fps

AAC | 128 Kbps | 48.0 KHz | 2 channels | ~8 hours | 5.98 GB

*Genre: eLearning Video / Maths, Economics & Finance*

Mathematical Methods for Quantitative Finance covers topics from calculus and linear algebra that are fundamental for the study of mathematical finance. Students successfully completing this course will be mathematically well prepared to study quantitative finance at the graduate level.

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.

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