Chapter 1: Welcome to Sage!

1.3. Using Sage for Trigonometry

• 1.3.2. Another Way of Computing Arctangent
• 1.3.2

1.4. Using Sage to Graph 2-Dimensionally

• 1.4.7. Superimposing Many Graphs in One Plot
• 1.4.7.a
• 1.4.7.b
• 1.4.8. The Backslash Operator for Very Long Lines
• 1.4.8

1.5. Matrices and Sage, Part 1

• 1.5.4. RREFs and the Identity Matrix
• 1.5.4

1.6. Making Your Own Functions in Sage

• 1.6.1. Defining a Function
• 1.6.1
• 1.6.4. Comparing the Plots of Two (or more) Functions
• 1.6.4
• 1.6.5. Composition of Functions
• 1.6.5

1.7. Using Sage to Manipulate Polynomials

• 1.7.1. Computing the gcd of Two Polynomials
• 1.7.1
• 1.7.2. A Challenge: Exploring the gdc of Polynomials
• 1.7.2

1.8. Using Sage to Solve Problems Symbolically

• 1.8.6. Non-Linear Systems of Equations
• 1.8.6.a
• 1.8.6.b
• 1.8.6.c

1.9. Using Sage as a Numerical Solver

• 1.9.3. A Challenge: Human-Assisted Root Finding
• 1.9.3

1.12. Using Sage to Calculate Integrals

• 1.12.13. A Major Bug in Sage's Integral Command
• 1.12.13

1.14. A Technicality about Functions

• 1.14.a
• 1.14.b