gibson:teaching:spring-2016:math445:finaltopics
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gibson:teaching:spring-2016:math445:finaltopics [2016/05/16 06:34] gibson [log-linear relations] |
gibson:teaching:spring-2016:math445:finaltopics [2016/05/16 06:45] (current) gibson [Plotting] |
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| ====== Math 445 final exam topics ====== | ====== Math 445 final exam topics ====== | ||
| - | The Math 445 final exam will be comprehensive, covering all material presented in lecture and lab (except for the derivation of differential equations from physics presented in lecture). | + | The Math 445 final exam will be comprehensive, covering all material presented in lecture and lab (except for the derivation of differential equations from physics presented in lecture). Below is a broad overview but not exhaustive of topics that might be covered on the exam. |
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| * how to make 2D contour plots with **contourf** and **linspace**, **meshgrid** etc. | * how to make 2D contour plots with **contourf** and **linspace**, **meshgrid** etc. | ||
| * how to make 2D quiver plots with **quiver** and **linspace**, **meshgrid** etc. | * how to make 2D quiver plots with **quiver** and **linspace**, **meshgrid** etc. | ||
| - | * how to make 3D surface plots with **sruf** and **linspace**, **meshgrid**, etc. | + | * how to make 3D surface plots with **surf** and **linspace**, **meshgrid**, etc. |
| * how to load data from a file and plot it | * how to load data from a file and plot it | ||
| * how to label axes, title a plot, color the lines, show markers on data points, display a coordinate grid, show a colorbar, etc. | * how to label axes, title a plot, color the lines, show markers on data points, display a coordinate grid, show a colorbar, etc. | ||
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| You should have a good grasp on the mathematics and Matlab programming of the lab material. For example, | You should have a good grasp on the mathematics and Matlab programming of the lab material. For example, | ||
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| ==== log-linear relations ==== | ==== log-linear relations ==== | ||
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| ==== differential equations ==== | ==== differential equations ==== | ||
| - | You should know now how to write an anonymous function for a system of first-order differential equations $d\vec{x}/dt = \vec{f}(t, \vec{x}$, and how to solve that system of equations numerically using Matlab's **ode45**. | + | You should know now how to write an anonymous function for a system of first-order differential equations $d\vec{x}/dt = \vec{f}(t, \vec{x})$, and how to solve that system of equations numerically using Matlab's **ode45**. And given a quiver plot of a 2-d differential equation, you should be able to draw an approximate solution of the equation starting from a given initial condition, by tracing out a curve that is everywhere tangent to the arrows. |
gibson/teaching/spring-2016/math445/finaltopics.1463405662.txt.gz · Last modified: 2016/05/16 06:34 by gibson
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