“But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.” – Albert Einstein
Free Resources
Linear Algebra
- A Note on Kronecker Products
- A short note on KPs, their properties and implementation in MATLAB. As an application I show how to write a VAR model as a SUR model which can be used to calculate the OLS estimator.
Alternative Resources
General math videos
- Created by Sal Kahn, the Kahn academy offers an excellent range of free video lectures and practice problems on almost every undergraduate math topic that you can think of. We highly recommend that you make use of this priceless resource.
- Patrick has a range of really nice free video tutorials covering such topics as algebra, calculus and trigonometry.
Calculus
- Essential Calculus by James Stewart
- This textbook is used in first-year mathematics courses at The ANU and for good reason. There is also a range of free materials on the textbook website.
Linear Algebra
- Linear Algebra and its Applications by David Lay
- This textbook is used in first-year mathematics courses at The ANU and for good reason. There is also a range of free materials on the textbook website.
Real Analysis
- Introduction to Real Analysis by Bartle and Sherbert
- If you are looking for some study material that bridges first year mathematics with real analysis then this is the place to start.
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- Jakub has an excellent free textbook on Quantitative Methods for Business and Economics and is working on an Analysis 1 book and offers various notes relating to economics, statistics and programming.