Open-Top Box Problems

Variation Problems

Polynomial and Rational Inequalities

Graphs of Rational Functions

Binomial Theorem Coefficients

Finding the Zeros of a Polynomial by Hand

Rational Zeros Theorem and Descartes' Rule of Signs

Finding the equation of a polynomial from their zeros, and one point.

Graphing Polynomials from Zeros and End Behavior

Graphing Quadratics using Vertex, Axis of Symmetry and Intercepts

Applying Properties of the Derivative

Comparing Long and Synthetic Division

Operations on Complex Numbers in Standard (a+bi) form

Extending FOIL beyond binomials

Using the discriminant to find the number of quadratic roots

Writing the Equations of a Piecewise Function from a graph

Similarity Transformations for Matrices with Complex Eigenvalues as Rotation Matrices

Similarity Transformations and Diagonalizing Matrices

Dimensions of Subspaces associated with a matrix/linear transformation

Finding a Basis for the Row and Column space of a linear transformation in matrix form

Gram-Schmidt: Turning a basis into an orthogonal basis

Projecting onto a Subspace with an orthogonal basis

Finding the basis for W-perp (Extending an orthogonal basis to R^n)

Orthogonal Basis

Bases (Basis)

Linear Independence

Properties of Determinants

Plotting a Rational Function in ALEKS

Finding Area Under a Curve (Bounded by a Curve) Using Line Integrals

Plotting Polar Coordinates