Math Studio

Creating 2D function graphs and animations

Feature	Sample	Note
Functions can be in the form of explicit, parametric, piecewise, implicit and inequality		Explicit form: y=x-x^3/6+x^5/120; y=x; y=x-x^3/6; y=sin(x)
		Parametric form: x=5cos(u)+3,y=3sin(u)+5; x=2cos(u)+1,y=2sin(u)-2
		Piecewise form: y=x-1, if x<-1 y=-1, if x=-1 y=x+1, if x>-1
		Implicit form: x^2-y^2-1=0
Cartesian and polar coordinate systems		Cartesian coordinate system: y=x^2; y=1.5x+1
		Polar coordinate system: r=10sin(2a)
Sequence of number		Arithmetic progression
		Geometric progression
Inequality		x^2-2x-3<0
		(x^2-3x+2)/(x^2-2x-3)<0
		x^2+y^2-1<0
coordinate graph animation
Graph of inverse function		y=sin(x) and it's inverse function
Graph of derivative function		y=log(x) and it's derivative function dy/dx
Parity of function		y=sin(x) then let x'=-x
Maximum, minimum and inflexion		y=cos(x)
Integration
Root		y=(x-1)^2-2
The length of curve
Tangent and normal		y=sin(x)
Curvature circle		y=cos(x)
Point of intersection(Solve equation) Area of intersectant field		y=x^2-3, y=x+1

Creating 2.5D function graphs and animations

Feature	Sample	Note
Functions can be in the form of explicit and parametric Cartesian and polar coordinate systems		y=sin(x)
		R=10(1-cos(a))
Function graph animation		y=sin(t*x)

Analytic geometry

Sample	Note	Sample	Note
	Draw Lines According To Different Equations General Form x+2y+3=0 Gradient Intercept Form y=0.5x+3 Two-Point Form (y-3)/(-1-3)=(x+3)/(2+3) Point Slope Form y-2=x-1		Perpendicular Line Passes Throuth A Given Point
	Parallel Line Passes Throuth A Given Point		Relationship Of Two Lines
	Draw Circles According To Different Equations Standard Form (x-1)^2+(y-2)^2=3^2 General Form x^2+y^2+x+2y-5=0 Parametric Form x=2sin(u), y=2cos(u)		Tangent Line Passes Through A Given Point On The Circle
	Tangent Lines, Gradient Is Given		Circle Passes Through Three Given Points
	Vector		Vector operation - addition
	Ellipse Standard Form (x-1)^2/4^2+(y-1)^2/2^2=1 Parametric Form x=sin(u)+3, y=2cos(u)+4		Hyperbolas And Their Asymptotes (x-1)^2/3^2-(y-2)^2/4^2=1 -(x-1)^2/3^2+(y-2)^2/4^2=1
	Parabola And It's Symmetric Axis, Directrix And Focus (y-2)^2=2(x-1)		y=sin(x)

Solid geometry

Sample	Note	Sample	Note
	Spatial Line		Prism, Pyramid And Prismy Dado
	Cylinder, Cone And Circular Dado		Sphere

Ability to set and modify the properties of function graphs and animations
Ability to move, zoom in, zoom out and rotate the graphs in plot area
High quality graph effect, the curve created is very smooth
Ability to save graphs as msd file or bmp file
Ability to save animation as AVI file
Ability to add grid, background and shadow for 2D axis and use pi to label x axis
Free Tools
Expression Calculator