Dynamics and Vibrations
MATLAB tutorial
School of Engineering
Brown University
To prepare for HW1, do sections 1-11.6 – you can do the rest later as needed
1. What is MATLAB
2. Starting MATLAB
3. Basic MATLAB windows
4. Using the MATLAB command window
5. MATLAB help
6. MATLAB ‘Live Scripts’ (for algebra, plotting, calculus, and solving differential equations exactly)
6.1Solving Equations
6.2 Functions and Plotting
6.3 Calculus
6.4Vectors
6.5 Matrices
6.6 Solving differential equations (with symbols)
7. Working with M-files
8. MATLAB Functions in M files
9. Basic Programming Concepts
9.1 Loops
9.2 Creating a vector with a loop
9.3 Dot notation for operations on vectors
9.4 Operations on vectors using a loop
9.5 Creating matrices with nested loops
9.6 How to find the number of rows and columns in a matrix
9.7 Using plots to display curves and surfaces stored in vectors and matrices
9.8 Conditional statements
10. Organizing complex calculations as functions in an M-file
11. Solving ordinary differential equations (ODEs) using MATLAB
11.1 Solving a basic differential equation
11.2 Solving a basic differential equation in an M-file
11.3 Solving a differential equation with adjustable parameters
11.4 Common errors
11.5 Solving simultaneous differential equations
11.6 Controlling the accuracy of solutions to differential equations
11.7 Looking for special events in a solution
11.8 How the ODE solver works
11.9 Other MATLAB differential equation solvers
12. Using MATLAB solvers and optimizers to make design decisions
12.1 Using fzero to solve equations
12.2 Simple unconstrained optimization problem
12.3 Optimizing with constraints
13. Reading and writing data to/from files
14. Movies and animation
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