_toc.yml

# Table of contents
# Learn more at https://jupyterbook.org/customize/toc.html

format: jb-book
root: intro

parts:
  - caption: Python Programming
    numbered: True
    chapters:
    - file: notebooks/01/Python-Primer.md
      sections:
      - file: notebooks/01/Jupyter-Notebooks.ipynb
      - file: notebooks/01/Python-Basics-I-Variables-Strings-Bugs.ipynb
      - file: notebooks/01/Flow-control.ipynb
      - file: notebooks/01/Python-Basics-III-Lists-Dictionaries-Enumeration.ipynb
      - file: notebooks/01/Functions-and-Scope.ipynb
      - file: notebooks/01/Recursion.ipynb
      - file: notebooks/01/Pseudocode.ipynb
      - file: notebooks/01/Example-High-Low-Game.ipynb
      - file: notebooks/01/Modules-and-Files.ipynb
      - file: notebooks/01/NumPy.ipynb
      - file: notebooks/01/Matplotlib.ipynb
      - file: notebooks/01/Pandas.ipynb
      - file: notebooks/01/Functions-as-Arguments.ipynb
      - file: notebooks/01/Testing-and-Debugging.ipynb
      - file: notebooks/01/Publication-Quality-Figures.ipynb
    - file: notebooks/02/advanced_python.md
  - caption: Numerical Methods
    numbered: True
    chapters:
    - file: notebooks/03/linear_algebra.md
    - file: notebooks/04/linear_algebra.md
      sections:
      - file: notebooks/04/Modeling-Systems-of-Linear-Equations.ipynb
      - file: notebooks/04/Gauss-Elimination.ipynb
      - file: notebooks/04/Invertible-Matrix-Theorem-and-Gauss-Example.ipynb
      - file: notebooks/04/LU-Decomposition.ipynb
      - file: notebooks/04/Condition-Number.ipynb
      - file: notebooks/04/Example-Atomic-Mass-Balances.ipynb
      - file: notebooks/04/Linear-Algebra-in-Numpy.ipynb
    - file: notebooks/05/algorithms.md
      sections:
      - file: notebooks/05/Taylor-Series.ipynb
      - file: notebooks/05/Finite-Difference.ipynb
      - file: notebooks/05/Example-Heating-a-Metal-Slab.ipynb
    - file: notebooks/06/nonlinear_systems.md
      sections:
      - file: notebooks/06/Modeling-Systems-of-Nonlinear-Equations.ipynb
      - file: notebooks/06/Newton-Raphson-Method-in-One-Dimension.ipynb
      - file: notebooks/06/More-Newton-Type-Methods.ipynb
      - file: notebooks/06/Convergence-Analysis-for-Newton-Raphson-Methods.ipynb
      - file: notebooks/06/Newton-Raphson-Methods-for-Systems-of-Equations.ipynb
      - file: notebooks/06/Newton-Methods-in-Scipy.ipynb
    - file: notebooks/07/integration.md
      sections:
      - file: notebooks/07/Intro-and-Newton-Cotes.ipynb
      - file: notebooks/07/Gauss-Quadrature.ipynb
      - file: notebooks/07/Scipy-Library-Adaptive-Methods-for-Newton-Cotes-and-Gauss-Quadrature.ipynb
      - file: notebooks/07/Application-Inertial-Navigation-Systems.ipynb
      - file: notebooks/07/Forward-and-Backward-Euler.ipynb
      - file: notebooks/07/Trapezoid-Rule.ipynb
      - file: notebooks/07/Stability-Analysis.ipynb
      - file: notebooks/07/Explicit-Runge-Kutta.ipynb
      - file: notebooks/07/Systems-of-Differential-Equations-and-Scipy.ipynb
      - file: notebooks/07/Example-Reaction-Rates.ipynb
    - file: notebooks/08/optimization.md
      sections:
      - file: notebooks/08/Pyomo-Basics.ipynb
      - file: notebooks/08/Electricity-Market-Optimization.ipynb
      - file: notebooks/08/Flash-Calculations-in-Pyomo.ipynb
  - caption: Data Analysis
    numbered: True
    chapters:
    - file: notebooks/09/stats.md
      sections:
      - file: notebooks/09/Sampling.ipynb
      - file: notebooks/09/Summary-Statistics.ipynb
      - file: notebooks/09/Visualizing-Data.ipynb
    - file: notebooks/10/probability.md
      sections:
      - file: notebooks/10/Probability-Basics.ipynb
      - file: notebooks/10/Random-Variables.ipynb
      - file: notebooks/10/Jointly-Distributed-Random-Variables.ipynb
      - file: notebooks/10/Jointly-Continuous-Random-Variables.ipynb
      - file: notebooks/10/Practice-Problems.ipynb
    - file: notebooks/11/distributions.md
      sections:
      - file: notebooks/11/Bernoulli-Probability-Distribution.ipynb
      - file: notebooks/11/Binomial-Probability-Distribtuion.ipynb
      - file: notebooks/11/Poisson-Probability-Distribution.ipynb
      - file: notebooks/11/Normal-Probability-Distribution.ipynb
      - file: notebooks/11/Common-Probability-Distributions-Summary.md
    - file: notebooks/12/uncertainty.md
      sections:
      - file: notebooks/12/Measurement-Error.ipynb
      - file: notebooks/12/Error-Propagation.ipynb
      - file: notebooks/12/Measuring-Flowrate-Example.ipynb
      - file: notebooks/12/Car-and-Incline-Example.ipynb
      - file: notebooks/12/Simulation.ipynb
      - file: notebooks/12/Monte-Carlo-Error-Propogation.ipynb
      - file: notebooks/12/Practice-Problems.ipynb
    - file: notebooks/13/inference.md
      sections:
      - file: notebooks/13/Central-Limit-Theorem.ipynb
      - file: notebooks/13/Standard-Normal-Distribution.ipynb
      - file: notebooks/13/Confidence-Intervals.ipynb
      - file: notebooks/13/Students-t-Distribution.ipynb
      - file: notebooks/13/Hypothesis-Testing-Basics.ipynb
      - file: notebooks/13/Flavors-of-Hypothesis-Testing.ipynb
      - file: notebooks/13/Type-I-and-Type-II-Errors.ipynb
      - file: notebooks/13/Statistical-Power-Basics.ipynb
      - file: notebooks/13/Statistical-Power-in-Python.ipynb
      - file: notebooks/13/Statistical-Power-Practice-Problems.ipynb
      - file: notebooks/13/Bootstrap-Confidence-Intervals.ipynb
    - file: notebooks/14/regression.md
      sections:
      - file: notebooks/14/Correlation-Covariance-and-Independence.ipynb
      - file: notebooks/14/Least-Squares-Line.ipynb
      - file: notebooks/14/Ordinary-Least-Squares-Linear-Regression.ipynb
      - file: notebooks/14/Residual-Analysis.ipynb
      - file: notebooks/14/Regression-Assumption-Examples.ipynb
      - file: notebooks/14/Uncertainty-Analysis-and-Statistical-Inference.ipynb
      - file: notebooks/14/Multivariate-Linear-Regression.ipynb
      - file: notebooks/14/Linear-Regression-Practice-Problems.ipynb
    - file: notebooks/15/advanced_regression.md
      sections:
      - file: notebooks/15/Transformations-and-Linear-Regression.ipynb
      - file: notebooks/15/Weighted-Regression.ipynb
      - file: notebooks/15/Nonlinear-Regression.ipynb
      - file: notebooks/15/Nonlinear-Regression-Practice-Problem.ipynb
      - file: notebooks/15/Monte-Carlo-Uncertainty-Analysis-for-Nonlinear-Regression.ipynb
      - file: notebooks/15/Nonlinear-Case-Study-Adsorptive-Membranes.ipynb
    - file: notebooks/16/design_of_experiments.md
      sections:
      - file: notebooks/16/Reaction-MBDoE.ipynb
  - caption: Extra Information
    numbered: False
    chapters:
    - file: notebooks/60258-organization/home.md
      sections:
      - file: notebooks/60258-organization/syllabus.md
      - file: notebooks/60258-organization/schedule.md
      - file: notebooks/60258-organization/project1.md
      - file: notebooks/60258-organization/project2.md
    - file: notebooks/contrib/contribute.md
      sections:
        - file: notebooks/contrib/Biotransport-Entrance-Length.ipynb
        - file: notebooks/contrib/Non-Isothermal-PBR.ipynb
        - file: notebooks/contrib/Ficks-Law.ipynb
        - file: notebooks/contrib/Stochastic-Kinetics.ipynb
        - file: notebooks/contrib/Spaghettification.ipynb
        - file: notebooks/contrib/Alcohol-Pharmacokinetics.ipynb
        - file: notebooks/contrib/McCabe-Thiele.ipynb
        - file: notebooks/contrib/Wastewater-Treatment-Mass-Balance.ipynb
        - file: notebooks/contrib/Filtration.ipynb