| 1.
|
Determine symmetries with respect to X axis, Y axis, or origin when
given an equation. (I)
|
| 2.
|
State the vertical line test for a function. (I)
|
| 3.
|
Apply functional notation. (I)
|
| 4.
|
Determine if a function is even, odd, or neither. (I)
|
| 5.
|
Graph functions. (I)
|
| 6.
|
Explain the relationship between the slopes of parallel and
perpendicular lines. (I)
|
| 7.
|
Compute the composition and inverses of functions. (I)
|
| 8.
|
Utilize the remainder and factor theorem. (II)
|
| 9.
|
State the fundamental theorem of algebra. (II)
|
| 10.
|
Utilize Descartes' rule of signs. (II)
|
| 11.
|
Find or approximate zeros of a polynomial. (II)
|
| 12.
|
Decompose a reduced proper fraction into the sum of partial
fractions.(II)
|
| 13.
|
Solve equations involving logarithms and exponents. (III)
|
| 14.
|
Solve a system of linear equations in two and three variables, using
eliminations and matrix methods. (IV)
|
| 15.
|
Solve nonlinear systems of equations and inequalities. (IV)
|
| 16.
|
Graph the solution to a system of linear inequalities. (IV)
|
| 17.
|
Compute determinants of square matrices and inverses of non-singular
matrices. (V)
|
| 18.
|
Explain the difference between sequences and series. (VI)
|
| 19.
|
State and use the principle of mathematical induction. (VI)
|
| 20.
|
Find the sum of the terms of a finite arithmetic or infinite geometric
sequence. (VI)
|
| 21.
|
Use the binomial formula. (VI)
|
| 22.
|
State and use the fundamental principle of counting. (VII)
|
| 23.
|
Distinguish and evaluate combinations and permutations. (VII)
|
| 24.
|
Define sample spaces and events for an experiment. (VII)
|
| 25.
|
Assign probabilities to events in a finite sample space. (VII)
|
| 26.
|
Distinguish between empirical and theoretical probabilities. (VII)
|
|