Calculus Board Game

Inspiration

Problem : Creating your own version of a board game that will help people understand Calculus better. This is a game to help people learn their derivatives, and the different types of integration. They need to be careful through this game not to mix up the differences between the derivative of a function and the integral of the same function. The focus of this board game is upon multiplying and dividing derivatives as well as finding integrals. Inspiration :
The inspiration behind this game to help people learn simple concepts to make mathematics an easier and enjoyable subject. I began to notice that students in my calculus classes at Purdue don’t appreciate mathematics often due to the nature in which it is presented in especially calculus. I feel that games like these made on simple concepts and much more could help to understand calculus even better.

Test Driven Development : ex : A piece has x^2. You move this piece past another piece. When you do so : the result is x^(2+1)/ (2+1) ex : When you attack a piece, x^2 becomes 2x^(2-1). ex : When you attack a sin it becomes a cosine. ex : When you move past a cosine it becomes a sine.

What it does

What the output should be / How to play the board game :

1. First a grid game is created , and variables X, Y , and Z are placed on this grid. The only exception is the first derivative which is with variable X. A player can either move or attack once. Each attack results in him performing a derivative, and as a result he reduces the piece he attacked’s exponential value by 1.
2. If the player decides to move, then he is advancing up one over the piece he decided to move over, and he is performing an integral which results in an increase in the exponential value by 1, and division by the new exponential value.
3. A game piece is eliminated when the game piece reaches a level of 0.
4. After completion of one level, the players move onto the second level. Each level results in an increase in the number of game pieces by 2. that is 2 more than the previous game level.

How I built it

Designing the board game structure :

The different scenarios : a) Differentiation

b) Integration

Challenges I ran into

1. accounting for different types of integration which do not depend on degrees such as tables, parts, and so on..

What's next for Calculus Board Game

Expand this game to further include integration by substitution.

Built With

• java