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Welcome to the Course
Revison material
Mathematics
Linear Algebra
Vectors
Geometric Interpretation
Vector Spaces
Matrices
Definitions and Properties
Determinants and Inverses
Basic definitions and operations
Systems of linear equations
Theory
Eigenvalues and eigenvectors
Linear Algebra in Python
Calculus
Differential Calculus
Integral Calculus
Vector calculus (MM3)
Series and sequences
Taylor series
Fourier series
Fourier transforms
Differential Equations
Introduction to differential equations
Linear Differential Equations
First-order ODEs
Higher order Linear ODEs
Series ODE
Introductory definitions and concepts
First-order linear PDEs
Canonical form of second-order linear PDEs
Poisson’s and Laplace’s equation
Heat (diffusion) equation
Solving PDEs with fourier methods
Wave equation
Self-similar solutions
Statistics
Linear regression
Introduction to statistics for Geoscientists
Python
Python Basics
Printing and formatting statements
Variables
If statement
While loops
Lists
For loops
List comprehensions
Nested lists
Handling errors
Importing in Python
Creating custom functions
Tuples
File handling
Dictionaries
Flow control statements
Sets
Plotting data with Matplotlib
Assert
Python classes
Lambdas
Python for MATLAB Users
Python for R Users
Python for C/C++ Users
Additional Python Tips and Techniques
The Command Line
Git & GitHub
The
git
version control system
The Github.com Website
Git Cheat Sheet
Appendices
Useful Software
Presessional Reading List
Index
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