Calculus Duel

By: Yash Savalia and Jason Nguyen

Travel through the world of Calculus, and duel historical figures, masters of their own Calculus Craft. Learn their techniques and beat them at their own game! Progress and defeat all the figures until you become the Calculus Master.

How to Play:

Pick your side of history! Leibniz or Newton!

Questions under a 30 second time limit based on a Calculus topic will be displayed for you to answer, either on the attack or the heal side. If you answer the attack sided question correctly, you will perform an attack against your opponent. If you answer the heal sided question correctly, you will perform a heal that will heal yourself. Failing to answer within 30 seconds will refresh a new question. First duelist to get their opponent to 0 hit points is declared the winner.

When answering questions correctly in a row, you may notice that a bar fills up above the attack sided questions. That is your special ultimat e! Unleash it by clicking on the symbol to deal massive damage to your opponent! Be careful, duelist, as answering questions incorrectly will clear the bar!

On each level, the opposing duelist challenges you on their master of craft:

● Gauss: Volume and Area

● Euler: Problems involving Euler’s Number

● Taylor: Convergence/Divergence, Series/Sequences

● Riemann: Riemann Sums

● Leibniz/Newton: Differentiation / Integration

How to Answer

Many answers are sensitive, so you’d want to know what your answers look like.

Exponents:

Exponent answers are simple, where all of your exponent answers consist of:

● e^x

● 2^x

Pi:

In order to represent the symbol, π, simply add pi to the designated location.

● 2pix = 2πx

Order and +C:

All answers are represented from highest to lowest order. +C is always at the end. Symbols like e and π are added after the numerical coefficient and before the variable. Square roots are referenced later.

● 6pix^6 - 7x^3 + sqrt(2)x^2 + 2ex + C

Parenthesis:

There are none. So if you think your answer needs some parenthesis, do not add any.

● sin(x) → sinx

● 2(e^x + 1) → 2e^x + 2

Square Root:

Express square roots with sqrt. Square roots are added after all symbols and constants are added in as coefficients

● 2 sqrt 2

Division:

Do not add fractions as your coefficient. Instead, use / as your dividing symbol

● e^x/2 is not e^(x/2), e^x divided by 2.

Multiple Answers:

Multiple answer questions usually only consist of constants. Make sure to order your answers in numerical value and add commas in between

● -4, 0, 2, 9

Functions:

For questions where a function is asked for, always put it in terms of y.

● y=x+2