How to simplify determinants using three row (or column) operations.
How to simplify a trigonometric expression by converting to sines and cosines and using algebra.
How to break up a logarithm of a large number.
How to compute and simplify the difference quotient of a linear function.
How to express a complex number in trigonometric form.
How to define factorial expressions used in the binomial theorem.
How to evaluate expressions like tan(sin (4/5))^(-1).
How to express a vector algebraically in terms of the unit vectors i and j.
How to find the domain of a function when it has rational or radical expressions.
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.