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# PREP Quickstart Tutorials

Sometimes all one needs to start using Sage in a field is a little help. These “Quickstart” tutorials are designed to get you up and running in one of these fields with a minimum of fuss and muss.

The assumed background in most of these is the first several tutorials in this set of documents. Similarly, keep in mind that these documents are concise; the next step from each of them is really the Sage reference manual.

Finally, the last tutorial is a special one introducing the reader to creation of interactive material in Sage. It’s highly recommended that you study the Programming tutorial before tackling this one.

Contents:

- Abstract Algebra
  - Group Theory
  - Rings
  - Fields
- Differential Equations
  - Basic Symbolic Techniques
  - Numerical and Power Series Methods
- Graph Theory/Discrete Math
  - Graph Theory
  - More Discrete Mathematics
- Linear Algebra
  - Matrices and Vectors
  - Left-Handed or Right-handed?
  - Vector Spaces
  - Computations
  - Matrix Solving
- Multivariable Calculus
  - Vector Calculus
  - Functions of Several Variables
- Numerical Analysis
  - Basic Analysis
  - Converting to floating point binary (IEEE format)
  - Interval Arithmetic
  - Included Software
  - Plotting with precision
- Number Theory/Cryptography
  - Modular Arithmetic
  - More basic functionality
  - Advanced Number Theory
  - Cryptography
- Statistics and Distributions
  - Basic Descriptive Statistics
  - Distributions
  - Using R from within Sage
- Creating Interacts
  - Start with just one command
  - Adding Complexity
  - Control Types
  - The option not to update

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