| 1.
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Solve single variable equations, including linear, absolute value,
quadratic, quadratic type, rational, polynomial, radical, exponential,
and logrithmetic. (I)
|
| 2.
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Solve quadratic equations by using the following methods: factoring,
completing the square, the quadratic formula, and graphing. (I)
|
| 3.
|
Solve the following types of single variable inequalities: linear,
absolute value, quadratic, and rational. (I)
|
| 4.
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Express the solutions of inequalities using algebraic symbols, a
graph, and interval notation. (I)
|
| 5.
|
Solve systems of linear and non-linear equations by: graphing,
elimination, substitution, Cramer's Rule (optional) and matrices. (I)
|
| 6.
|
State domain and range of relations. (II)
|
| 7.
|
Determine if a relation is a function. (II)
|
| 8.
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Identify types of functions centered at the origin. (II)
|
| 9.
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Identify types of functions that have been translated. (II)
|
| 10.
|
State the composition of two functions and state its domain. (II)
|
| 11.
|
Determine whether a function is 1 to 1 and state its domain. (II)
|
| 12.
|
Find the inverse of a 1 to 1 function. Graph the inverse. (II)
|
| 13.
|
Find the axis of symmetry, vertex and intercepts of a quadratic
relation, then draw the graph. (II)
|
| 14.
|
Find the irreducible factors and zeros of a polynomial function, then
draw the graph. (II)
|
| 15.
|
Find the intercepts, asymtotes and additional points of rational
functions, then graph. (II)
|
| 16.
|
Identify the types of conic section from its equation and graph. (II)
|
| 17.
|
Use translations to graph conic sections. (II)
|
| 18.
|
Decompose a reduced proper and improper fraction into the sum of
partial fractions. (III)
|
| 19.
|
Plot the graph of common and natural logarithmic functions. (IV)
|
| 20.
|
Find the domain, range, and inverse of logarithmic functions. (IV)
|
| 21.
|
Use the properties of logarithms. (IV)
|
| 22.
|
Perform the operations of matrices. (V)
|
| 23.
|
Evaluate the determinant of a matrix using cofactors and row column
operations. (V)
|
| 24.
|
Use the principle of mathematical induction. (VI)
|
| 25.
|
Find the nth terms of arithmetic, geometric and infinite geometric
sequences. (VI)
|
| 26.
|
Find the first n terms of arithmetic, geometric and infinite geometric
sequences. (VI)
|
| 27.
|
Use the binomial formula to expand (a+b)n. (VI)
|
| 28.
|
Use combinations and permutations to count. (VI)
|
| 29.
|
Solve a variety of application problems. (VII)
|
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