College Algebra and Precalculus

- Built-In Functions. Sage has many built-in functions such as
`sin(x)`. - Defining Functions. To define a new function in Sage.
- Compositions of Functions. To define a composition of function in Sage.
- Two-dimensional plots. Plotting functions in the $xy$-plane.
- Solving Equations. The
`solve`function solves equations. - Solving Linear Systems of Equations. The
`solve`function can also solve linear systems of equations. - Solving Nonlinear Systems of Equations. The
`solve`function can solve nonlinear systems of equations. - Solving Equations for One Variable in Terms of Others. Solving equations for one variable in terms of others.
- Converting Between Degrees and Radians. How to convert between degrees and radians.
- Polar Coordinates. How to translate points into polar coordinates.
- Polar Plotting. How to plot in polar coordinates.
- Controlling the Viewing Window of a Plot How to control whether the axes are displayed and force the y-axis range.
- Plotting functions with asymptotes How to plot functions with asymptotes by forcing the $y$-axis.
- Using Intermediate Variables How to store a value as a variable for use later.
- Maximizing or Minimizing Systems of Linear Inequalities with Linear Programming How to maximize or minimize a system of linear inequalities in Sage.