How to use Pascal's triangle.
How to simplify products and quotients involving exponents.
How to simplify products involving zero and negative exponents.
How to use simple matrix operations.
How to use matrices to solve a system of linear equations.
How to find additive and multiplicative inverses.
How to break up a logarithm of a large number.
How to differentiate a quotient of two functions.
How to compute the angle between two vectors.
How to tell if two variables vary inversely.
How to graphically depict the variation in the energy of substances involved in reactions as they progress from reactants to products.
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
How to understand what vectors are, and how they can be represented geometrically.
How to express a vector algebraically in terms of the unit vectors i and j.
How to write the vector equation of a line.
How to derive the formula for the midpoint of a segment in three dimensions.