Data Analysis and Numerical Methods
About this book
1 Introduction to Posit, Rstudio, & Markdown
Rstudio and Markdown examples
2 The R Language and Tidy Data
The R Language and Tidy Data Examples
3 Functions, Best-coding Practices, and Debugging Intro
Functions, Best-coding Practices, and Debugging Examples
4 Data Wrangling
Data Wrangling Examples
5 Summarizing Data
Summarizing Data Examples
- 5.7 Bioreactor Data Analysis
  - 5.7.1 Background
  - 5.7.2 Tasks
- 5.8 Root Growth Inhibition Example
6 Data Visualization
Data Visualization Examples
7 Assessment 1
8 Introduction to Linear Regression in R
Linear Regression Examples
9 Intro to ANOVA and non-linear least squares regression
ANOVA and non-linear least squares regression examples
- 9.5.1 Lineweaver-Burk plot
- 9.6 Nonlinear least squares regression
10 Roots and Optima Introduction
Roots and Optima Examples
11 Interpolation and Extrapolation
- 11.1 Reading
- 11.2 Overview of interpolation
Interpolation and Extrapolation Examples
- 11.3 Example - CO₂ at Mauna Loa Observatory
12 Differentiation & Integration
- 12.1 Biggest takeaway - workflow
- 12.2 Reading
Differentiation & Integration Examples
13 Systems of Equations (Differential and Algebraic)
- 13.1 This week’s prep:
  - 13.1.1 Required reading:
14 Systems of Equations
- 14.0.1 Optional resources:
15 Differential Equations
Systems of Equations Examples
16 Assessment 2
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Data Analysis and Numerical Methods for Biological Systems Engineers

15 Differential Equations