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# A Guided Tour

This section is a guided tour of some of what is available in Sage. For many more examples, see “Sage Constructions”, which is intended to answer the general question “How do I construct ...?”. See also the “Sage Reference Manual”, which has thousands more examples. Also note that you can interactively work through this tour in the Sage notebook by clicking the `Help` link.

(If you are viewing the tutorial in the Sage notebook, press `shift-enter` to evaluate any input cell. You can even edit the input before pressing shift-enter. On some Macs you might have to press `shift-return` rather than `shift-enter`.)

- Assignment, Equality, and Arithmetic
- Getting Help
- Functions, Indentation, and Counting
- Basic Algebra and Calculus
  - Solving Equations
    - Solving Equations Exactly
    - Solving Equations Numerically
  - Differentiation, Integration, etc.
  - Solving Differential Equations
  - Euler’s Method for Systems of Differential Equations
  - Special functions
- Plotting
  - Two-dimensional Plots
  - Three-Dimensional Plots
- Some Common Issues with Functions
- Basic Rings
- Linear Algebra
  - Matrix spaces
  - Sparse Linear Algebra
- Polynomials
  - Univariate Polynomials
  - Multivariate Polynomials
- Parents, Conversion and Coercion
  - Elements
  - Parents and categories
  - Types versus parents
  - Conversion versus Coercion
- Finite Groups, Abelian Groups
- Number Theory
  - \(p\)-adic Numbers
- Some More Advanced Mathematics
  - Algebraic Geometry
  - Elliptic Curves
  - Dirichlet Characters
  - Modular Forms

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