Mathematics for Economists (Matlab Live Codes).zip

[](https://github.com/FanWangEcon/Math4Econ) [](https://github.com/FanWangEcon/Math4Econ/stargazers) [](https://github.com/FanWangEcon/Math4Econ/network/members) [](https://github.com/FanWangEcon/Math4Econ/watchers) [](https://zenodo.org/badge/latestdoi/145424348) This is a work-in-progress [course website](https://fanwangecon.github.io/Math4Econ/) for Mathematics for Economists. Course covers a limited subset of topics from *Mathematics for Economists* (Simon and Blume 1994), and uses various definitions from the book. Applications focus on two period borrowing and savings problems. Matlab's symbolic toolbox is used throughout. > [**bookdown site**](https://fanwangecon.github.io/Math4Econ/bookdown) and [**bookdown pdf**](https://fanwangecon.github.io/Math4Econ/bookdown/Introductory-Mathematics-for-Economists-with-Matlab.pdf). Materials are written in matlab livescript files and shown as HTML files. To obtain matlab codes, see [here](docs/gitsetup.md) and [here](docs/gitsetupown.md) for github set up. For HTML files, click on the links below. From other repositories: For dynamic borrowing and savings problems, see [MEconTools](https://fanwangecon.github.io/MEconTools/) and [Dynamic Asset Repository](https://fanwangecon.github.io/CodeDynaAsset/); For code examples, see also [Matlab Example Code](https://fanwangecon.github.io/M4Econ/), [Stata Example Code](https://fanwangecon.github.io/Stata4Econ/), [Python Example Code](https://fanwangecon.github.io/pyfan/), [R Example Code](https://fanwangecon.github.io/R4Econ/); For intro econ with Matlab, see [Intro Mathematics for Economists](https://fanwangecon.github.io/Math4Econ/), and for intro stat with R, see [Intro Statistics for Undergraduates](https://fanwangecon.github.io/Stat4Econ/). See [here](https://github.com/FanWangEcon) for all of [Fan](https://fanwangecon.github.io/)'s public repositories. Files are from the [Math4Econ](https://github.com/FanWangEcon/Math4Econ) repository. Please contact [FanWangEcon](https://fanwangecon.github.io/) for issues or problems. [](https://github.com/FanWangEcon/Math4Econ/commits/master) [](https://github.com/FanWangEcon/Math4Econ/graphs/commit-activity) [](https://github.com/FanWangEcon/Math4Econ/issues) [](https://github.com/FanWangEcon/Math4Econ/pulls) # 1 Notations and Functions 1. [Real Number and Intervals](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/realnumber.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/realnumber.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/realnumber.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/realnumber.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/realnumber.html) + Definition and draw a line. + **m**: *linspace() + line() + set(gca, yaxis off) + pbaspect()* 2. [Interval Notations and Examples](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/interval.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/interval.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/interval.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/interval.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/interval.html) + Closed, open intervals. 3. [What is a Function?](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/whatisfunction.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/whatisfunction.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/whatisfunction.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/whatisfunction.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/whatisfunction.html) + Domain, argument, do-domain, image/value, range. + Graph a circle. + **m**: *sin() + plot()* 4. [Function Notations](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/funcnotations.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/funcnotations.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/funcnotations.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/funcnotations.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/funcnotations.html) + Consistent function naming. 5. [Monomials and Polynomial of the 3rd Degree](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/polynomial.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/polynomial.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/polynomial.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/polynomial.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/polynomial.html) + Monomial, polynomial, degree of polynomial. + Graph polynomial of the 3rd degree and monomials of different degrees. + **m**: *syms x + f(x) = a + x + fplot(@(x) f(x,a), [x_low, x_high])* 6. [Local and Global Maximum](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/localglobal.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/localglobal.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/localglobal.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/calconevar/htmlpdfm/localglobal.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/calconevar/htmlpdfm/localglobal.html) + local and global maximum. + **m**: *syms + solve() + diff() + double() + double(solve(diff(f,x),x)), fplot(f,[x_low, x_high])* # 2 Commonly Used Functions 1. [Exponential and Compounding Interest Rates](https://fanwangecon.github.io/Math4Econ/explog/htmlpdfm/exponential.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/explog/exponential.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/explog/htmlpdfm/exponential.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/explog/htmlpdfm/exponential.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/explog/htmlpdfm/exponential.html) + Exponential function and rules: a^b. Base e exponential, e = 2.71828. + Infinitely compounding interest rate (continuous time). + e^r: borrow 1 dollar, given r, meaning r percent interest, e^r is how much to pay back in principle + interests given infinite compounding. + Log linear equation with a constant term, substraction and division. + **m**: *exp() + fplot() + double(subs())* 2. [Exponential and Log Functions](https://fanwangecon.github.io/Math4Econ/explog/htmlpdfm/exolog.html): [**mlx**](https://github.com/FanWangEcon/Math4Econ/blob/master/explog/exolog.mlx) \| [**m**](https://github.com/FanWangEcon/Math4Econ/blob/master/explog/htmlpdfm/exolog.m) \| [**pdf**](https://github.com/FanWangEcon/Math4Econ/blob/master/explog/htmlpdfm/exolog.pdf) \| [**html**](https://fanwangecon.github.io/Math4Econ/explog/htmlpdfm/exolog.html) + log and natural log (log in matlab base e, log in google base 10). + log rules, and why: log(xy) = log(x) + log(y); log(x^a) = alog(x). + l