Calculus-Projects

Project 1: Ball Drop in the WSU Atrium

Plot the position and the velocity of a ball being dropped from the third floor in the WSU Atrium

File: https://github.com/awangberg/Calculus-Projects/blob/main/Ball_Drop_Data_in_the_WSU_Atrium.ipynb

Project 1 Write-up: https://github.com/awangberg/Calculus-Projects/blob/main/Writeup_of_Ball_Drop_Data_in_the_WSU_Atrium.ipynb

Project 2: Finding differentials with Area

Find the relationship between $dA$, $s$, and $ds$ for $A = s^2$, and several other power functions

File: https://github.com/awangberg/Calculus-Projects/blob/main/Finding_changes_in_area_and_power_functions.ipynb

Project 3: Finding changes in Functions

Find the relationship between $dx$ and $df$ for exponential, logarithm, sine, and cosine functions

File: https://github.com/awangberg/Calculus-Projects/blob/main/Finding_changes_in_functions.ipynb

Project for Quiz 1:

Students fit a function to data for the spread of oil on the ocean. They also calculate the change in the spread by computing the change and fitting a function to that change, and also by using differentials. They discuss whether their two answers are the same or different.

File: https://github.com/awangberg/Calculus-Projects/blob/main/Project_1.ipynb

Project 5: Expanding upon Linear Approximation for functions

We develop two ways to approximate functions. The first method uses several segments. The second method uses several derivatives. The calculations are done in DESMOS; The COLAB page provides space to save work.

File: https://github.com/awangberg/Calculus-Projects/blob/main/Linear_and_higher_order_approximation.ipynb

Project for Quiz 2:

For Part (A), students generate approximations to the function $y = ln(x)$. For Part (B), students solve a related rates problem both computationally and algebraically.

File: https://github.com/awangberg/Calculus-Projects/blob/main/Project_2_Related_Rates_and_Linear_Approximation.ipynb

Project 6: Sally's Walk - Determining Change in Position from Velocity

We use sums to find the total change in position for Sally from her velocity data. This is done both using Desmos and Google Sheets.

File: https://github.com/awangberg/Calculus-Projects/blob/main/Sally's_10_minute_walk.ipynb

Project for Quiz 3:

Students fit a model of a density function given a the locations of the function's maximum and minimum values. Then, they create various estimates using Riemann Sums of the total mass of chocolate packed into the middle of a pretzel stick which is $24 cm$ long.

File: https://github.com/awangberg/Calculus-Projects/blob/main/Project_3_Accumulation.ipynb