# Problem Sets

One graded problem set per chapter. Each is worth **100 points**, split across
three parts that build on each other:

- **Part A — Skill Checks (30 pts)**: short answers, auto-graded, unlimited attempts.
- **Part B — Visualization (35 pts)**: plots and interpretation, peer graded.
- **Part C — Open Ended (35 pts)**: one synthesis problem, peer graded.

:::{note}
Each problem set is a standalone Jupyter notebook. The **zip** link below gives
you the notebook and its data in a folder that runs as-is; the Download badge at
the top of any problem page gives you the notebook on its own. The cells marked
`# YOUR CODE HERE` are deliberately not executed when the book is built, so you
receive them blank and ready to fill in.

Solutions are not published here.
:::

## Numerical Methods

- **{doc}`1.1 - Python Basics - Water Properties <Topic1.1-Python_Basics_Problems>`** (accompanies {doc}`/1-numerical_methods/Topic1.1-Python_Basics`) · {download}`zip <archives/Topic1.1-Python_Basics_Problems.zip>`
- **{doc}`1.2 - Linear Algebra - Steam Methane Reforming <Topic1.2-Linear_Algebra_Problems>`** (accompanies {doc}`/1-numerical_methods/Topic1.2-Linear_Algebra`) · {download}`zip <archives/Topic1.2-Linear_Algebra_Problems.zip>`
- **{doc}`1.3 - Linear Regression - Methanol IR Spectrum <Topic1.3-Linear_Regression_Problems>`** (accompanies {doc}`/1-numerical_methods/Topic1.3-Linear_Regression`) · {download}`zip <archives/Topic1.3-Linear_Regression_Problems.zip>`
- **{doc}`1.4 - Numerical Optimization - CO2 Adsorption Isotherm <Topic1.4-Numerical_Optimization_Problems>`** (accompanies {doc}`/1-numerical_methods/Topic1.4-Numerical_Optimization`) · {download}`zip <archives/Topic1.4-Numerical_Optimization_Problems.zip>`
- **{doc}`1.5 - Nonlinear Parameter Estimation - Isotherm Uncertainty <Topic1.5-Parameter_Estimation_Problems>`** (accompanies {doc}`/1-numerical_methods/Topic1.5-Parameter_Estimation`) · {download}`zip <archives/Topic1.5-Parameter_Estimation_Problems.zip>`

## Regression

- **{doc}`2.1 - Non-parametric Models - Refrigerant VLE Azeotrope <Topic2.1-Non-parametric_Models_Problems>`** (accompanies {doc}`/2-regression/Topic2.1-Non-parametric_Models`) · {download}`zip <archives/Topic2.1-Non-parametric_Models_Problems.zip>`
- **{doc}`2.2 - Model Validation - Henry's Law Constants <Topic2.2-Model_Validation_Problems>`** (accompanies {doc}`/2-regression/Topic2.2-Model_Validation`) · {download}`zip <archives/Topic2.2-Model_Validation_Problems.zip>`
- **{doc}`2.3 - Complexity Optimization - Coffee NMR Spectrum <Topic2.3-Complexity_Optimization_Problems>`** (accompanies {doc}`/2-regression/Topic2.3-Complexity_Optimization`) · {download}`zip <archives/Topic2.3-Complexity_Optimization_Problems.zip>`
- **{doc}`2.4 - High-dimensional Data - Solvent Vapor IR Mixtures <Topic2.4-High_dimensional_data_Problems>`** (accompanies {doc}`/2-regression/Topic2.4-High_dimensional_data`) · {download}`zip <archives/Topic2.4-High_dimensional_data_Problems.zip>`
- **{doc}`2.5 - High-dimensional Regression - Solvent Vapor IR Calibration <Topic2.5-High_dimensional_regression_Problems>`** (accompanies {doc}`/2-regression/Topic2.5-High_dimensional_regression`) · {download}`zip <archives/Topic2.5-High_dimensional_regression_Problems.zip>`

## Classification

- **{doc}`3.1 - Classification Basics - Flammability Testing <Topic3.1-Classification_Basics_Problems>`** (accompanies {doc}`/3-classification/Topic3.1-Classification_Basics`) · {download}`zip <archives/Topic3.1-Classification_Basics_Problems.zip>`
- **{doc}`3.2 - Generalized Linear Models - Flammability Envelopes <Topic3.2-Generalized_Linear_Models_Problems>`** (accompanies {doc}`/3-classification/Topic3.2-Generalized_Linear_Models`) · {download}`zip <archives/Topic3.2-Generalized_Linear_Models_Problems.zip>`
- **{doc}`3.3 - Alternate Classification Methods - Aqueous Solubility <Topic3.3-Alternate_Classification_Models_Problems>`** (accompanies {doc}`/3-classification/Topic3.3-Alternate_Classification_Models`) · {download}`zip <archives/Topic3.3-Alternate_Classification_Models_Problems.zip>`
- **{doc}`3.4 - High-dimensional Classification - Membrane Database Audit <Topic3.4-High-dimensional_Classification_Problems>`** (accompanies {doc}`/3-classification/Topic3.4-High-dimensional_Classification`) · {download}`zip <archives/Topic3.4-High-dimensional_Classification_Problems.zip>`

## Exploratory Data Analysis

- **{doc}`5.1 - High-Dimensional Data - Tennessee Eastman Sensors <Topic5.1-High_Dimensional_Data_Problems>`** (accompanies {doc}`/5-exploratory_data_analysis/Topic5.1-High_Dimensional_Data`) · {download}`zip <archives/Topic5.1-High_Dimensional_Data_Problems.zip>`
- **{doc}`5.2 - Dimensionality Reduction - Tennessee Eastman Monitoring <Topic5.2-Dimensionality_Reduction_Problems>`** (accompanies {doc}`/5-exploratory_data_analysis/Topic5.2-Dimensionality_Reduction`) · {download}`zip <archives/Topic5.2-Dimensionality_Reduction_Problems.zip>`
- **{doc}`5.3 - Clustering - Carbon XPS Spectra <Topic5.3-Clustering_Problems>`** (accompanies {doc}`/5-exploratory_data_analysis/Topic5.3-Clustering`) · {download}`zip <archives/Topic5.3-Clustering_Problems.zip>`
- **{doc}`5.4 - Generative Models - XPS Batch Screening <Topic5.4-Generative_Models_Problems>`** (accompanies {doc}`/5-exploratory_data_analysis/Topic5.4-Generative_Models`) · {download}`zip <archives/Topic5.4-Generative_Models_Problems.zip>`