Table of Contents

1. Complex numbers
   1. The graph of the completed square form of a quadratic
   2. Locus in the complex plane: |z-w|=k
2. Matrices
   1. Matrix Transformations
   2. Rotation Matrix
   3. Invariant lines of matrix transformations
3. Roots of polynomials
   1. Roots of a cubic: α, β, γ (real)
   2. Roots of a cubic: α, β, γ
   3. Roots of related cubics: α+k, β+k, γ+k
   4. Roots of related cubics: kα, kβ, kγ
4. 3D Vector Geometry
   1. Vector equation of a line in 3D
   2. Skew lines: finding the distance (dot product)
   3. Skew lines: finding the distance (cross product)
   4. 3 planes: unique point of intersection
   5. 3 planes: 2 parallel
   6. 3 planes: 3 parallel
   7. 3 planes: prism
   8. 3 planes: sheaf
5. Polar curves
   1. Polar curve: r = a + b cosθ
   2. Area under polar curves
   3. Polar curves: wrapping a function around the pole
6. Differential equations
   1. 2nd order differential equations
   2. Second Order Linear DE solver
   3. Coupled Differential Equations
7. Student Tasks
   1. Student tasks for using GeoGebra
   2. Construction problems