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High School (11–12), High School (9–10), Undergraduate, General · Chemistry by Computer
You will write the reader at the heart of a molar mass calculator. It turns a formula string into a dictionary of symbols and counts, then a second function opens one bracket. The idea. re.findall(r"([A-Z][a-z]?)(\d*)…
StemPy LabHigh School (11–12), High School (9–10), Undergraduate, General · Chemistry by Computer
Ammonia burns in oxygen in the first step of making nitric acid: 4NH_3 + 5O_2 → 4NO + 6H_2O. You will write a function that takes the moles of the reactants and returns the limiting reagent, the moles of each product…
High School (11–12), High School (9–10), Undergraduate, General · Chemistry by Computer, Data Analysis with pandas
You will ask the table of the first 20 elements three questions: which elements are alkali metals, how period 3 lines up by size, and what each ionisation enthalpy is in electron volts. The idea. A filter is df[condit…
High School (11–12), High School (9–10), Undergraduate, General · Chemistry by Computer, Data Analysis with pandas
You will find, with pandas alone, the elements of periods 2 and 3 whose first ionisation enthalpy falls below the element before, and the mean of each block. The idea. df.groupby("period")["ie"].diff() gives the chang…
A planet table in pandas Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandas
Make a table from lists and ask it a question. The checker looks at the columns, the shape and the answer.
Clean the table Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandas
Clean a table and pick rows from it. The checker uses a small table with missing values.
New columns Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandas
Add a column with Kepler's ratio, and a group mean. The checker tests that the given table does not change.
Group and join Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandas
Join two tables and count the groups. The checker uses small tables with a key in common.
Plot from a table Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandas
Draw a log-log graph from a table, and find its power. The checker looks at the axes of your graph and at the number.
Project: Kepler's third law Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandas
Write the analysis of the project as two functions. The checker uses exact data of a law with the power 1.5, with one missing value.
Roll the dice Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
Write two small functions for the rolls of a die. The checker tests that the rolls are reproducible, that they are whole numbers from 1 to 6, and that the mean is right.
Estimate a probability Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
Write two Monte Carlo estimates. The checker tests them against the exact values.
Random walk Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
Simulate a random walk and the walk of many walkers. The checker tests the shape of the walk, the size of the steps and the law of the mean squared distance.
Simulate the decay Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
Simulate the decay of a sample, and find its half-life in whole seconds. The checker compares the result with the exponential law.
Standard error Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
Write the formula for the standard error of the mean and the bootstrap, and see that they agree. The checker uses a fixed list and a long list of numbers.
Project: measure g Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Simulation and Randomness
Write the functions of the pendulum project. The checker uses exact periods, and then a simulation of 1000 experiments.
Derivative from numbers Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Calculus by Computer
Write three tools that find slopes from numbers. The checker compares them with the exact slopes.
Area under a curve Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Calculus by Computer
Write the rules for areas as functions. The checker tests them on curves with known areas.
Integrals with quad Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Calculus by Computer
Use quad for three jobs. The checker compares your answers with known values.
Euler's method Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Calculus by Computer
Write Euler's method for one quantity that changes with the rate dy/dt = rate(t, y). The checker tests it on two equations with known answers.
Euler against exact Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Calculus by Computer
Measure the error of Euler's method for a falling ball with air drag, and see that it is first order. The checker compares your function with known numbers.
Project: landing range Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Calculus by Computer
Write the functions of the projectile project with air drag. The checker compares them with the physics without air, and with known values with air.
Bisection Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Solving Equations
Write the bisection method as a function. The checker solves four equations and tries a function without a change of sign.
Newton's method Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Solving Equations
Write Newton's method with the two safety rules: a limit of steps, and a stop when the slope is zero. The checker tries good and bad cases.
Polynomial tools Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Solving Equations
Write three small tools with the polynomial functions of NumPy. The coefficients are listed from the highest power down. The checker uses polynomials with real and with complex roots.