0.
Course introduction
1. Course Overview
2. Course Activities
3. Getting MATLAB
1.
Basic introduction to MATLAB
1. Introduction
2. What is MATLAB?
3. Starting MATLAB
4. Using MATLAB as a calculator
5. Using the inbuilt help
6. Vectors and matrices: part 1
7. Vectors and matrices: part 2
8. Complex numbers
9. Simple M-files: scripts
10. Flow control
11. Simple graphics
12. Plotting 3D data
13. Functions
14. Exercises
2.
Data and image analysis
1. Introduction
2. Simple summary statistics
3. Linear regression
4. Basic data and image processing
5. Exercises
3.
Basic calculus
1. Introduction and definitions
2. Numerical differentiation
3. Exercises 1
4. Numerical integration
5. Exercises 2
6. Solution of nonlinear equations
7. Exercises 3
8. Fourier series
9. Exercises 4
4.
Linear algebra
1. Introduction
2. Vectors and matrices
3. Eigenvalues and eigenvectors
4. Sparse matrices
5. Exercises 1
6. Solving $Ax=b$: basic
7. Solving $Ax=b$: iterative
8. Exercises 2
5.
Solving ODEs
1. Introduction and definitions
2. Analytical methods: 1st order
3. Analytical methods: 2nd order
4. Reducing higher order ODEs
5. Exercises 1
6. Numerical methods
7. Exercises 2
8. Initial value problems
9. Exercises 3
10. Boundary value problems
11. Exercises 4
6.
Software engineering
1. Introduction
2. Formatting code: part 1
3. Formatting code: part 2
4. Formatting code: part 3
5. GUIs: part 1
6. GUIs: part 2
7. Exercises 1
8. Making movies in MATLAB
9. Speeding up code: part 1
10. Speeding up code: part 2
11. Exercises 2
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> Solving ODEs
Chapter 5
Solving ODEs