- Documentation at http://www.mathworks.com/help/symbolic/mupad-1.html
- Simple algebra operations
- Derivatives and integrals
- Names let you save expressions or results for future use
- Plotting
- Functions
- e.g., plot the z = y2 function from yesterday
- How about z = x2 + y2?
- What shape might you expect?
- Notice that z grows as the square of the distance from the z axis,
just as y does relative to y axis in a standard y = x2 parabola
- e.g., plot the z = y2 function from yesterday
- Implicit surfaces
- Implicit surface = surface defined by relation between variables
rather than explicit equation that gives one coordinate as function of others
- Can you get mupad to plot the sphere
x2 + y2 + z2 = 1?
- What if the equation is (x/2)2 + y2 + z2 = 1?
- Seeing the whole ellipsoid requires adjusting x bounds
- Make coordinate axes “unconstrained” in object browser to see true shape
- You can also put multiple plot objects in a single image
- Implicit surface = surface defined by relation between variables
rather than explicit equation that gives one coordinate as function of others
- Functions
- Quadric surfaces
- Read section 12.6