A list of exercises in analytical methods for geography research, including calculus, differential equations, and linear algebra. This repository only includes my own course work. Thanks for the guidance from Prof. Tim DeVries.
Recommended book resource:
Menke and Menke, Environmental Data Analysis with MATLAB
Arya and Lardner, Mathematics for the Biological Sciences
- Differential calculus: Functions, limits, and derivatives
- Differential calculus: Exponential functions, Taylor series
- Differential calculus: Maxima and minima; Newton’s method
- Integral calculus: Anti-derivatives; Indefinite and definite integrals; Numerical integration methods
- Multi-dimensional calculus
- Ordinary differential equations; Analytical methods; Models
- Linear algebra: Systems of differential equations
- Combined exercise: Using all methods
A list of exercises in probability and statistics, multivariate analysis methods, and regression techniques in Geography. Examples are from cross-sectional and spatial data analyses, linear and non-linear regression models, models for qualitative and other discrete dependent variables models. This repository only includes my own course work. Thanks for the guidance from Prof. Konstadinos Goulias.
- Linear Regression Models
- Matrix Linear Regression and Diagnostics
- Spatial Regression Models
- Spatial Point Patterns & Kriging
- A ggplot visualization exercise
A list of exercises cover several key concepts that are useful to solve typical problems in environmental science, such as linear and non-linear time series analysis, matrix methods, filtering, linear model, and regridding method/analysis. This repository only includes my own course work. Thanks for the guidance from Prof. Qinghua Ding.