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 nonsingular
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)

