Math Mountains app for iPhone and iPad

This Math app "Math mountains" is for experience math from elementary school to college level by 6 stages.
There would be no app or books like this kind of learning from elementary school to college level!

To see from "higher position" or to see from "different angle" gives us a lot of information.
Through this app, users would learn that math is operations based on simple rules. As we know, combinations of simple rules can lead complicated questions like 01 computation. But to recognize the simplicity of math would give us a confidence for understanding and solving questions or problems.
I hope that users would have the confidence by this math app experience.

This app has two modes, "Climbing" and "Practice" mode.
Climbing mode.

Stage1 : An angle in Triangles.

Stage2 : An angle on a circle.

Stage3 : Square root, a length of triangles and quadratic function.

Stage4 : Trigonometry

Stage5 : Differentiation

Stage6 : Taylor series

Practice mode.

1. Square root.
-a basic
-b square root for 100
-c four operations
-d geometry with square root

2. Proof of Pythagorean theorem

3. Quadratic functions

4. Trigonometry
-a. sin, cos, tan
-b. graph with unit circle
-c. Addition formula
-d Sum - product rule

5. Limit
-a sin(x)/x
-b sin(x)
-c cos(x)

6. Laws
-a law of sines
-b law of cosine

7. short-cut for each Stages