Program Guide - Department of Human Resources, Labour and ...

IM 3213
Algebra V
1. Polynomial Functions
1.1 Sketch graphs of polynomial functions of degree three and four, determining
basic shape, and critical points of intersection such as x and y - intercepts.
1.2 State Integral Root Theorem.
1.3 Solve polynomial equations of degree three and four by a combination of
factoring and quadratic formula.
1.4 Use Integral Root Theorem to solve polynomial equations of degree three and
four along with a combination of factoring and quadratic formula.
2. Sequences
2.1 Define sequence.
2.2 Define arithmetic sequence and write a formula for the general term of an
arithmetic sequence.
2.3 Write "n" terms in a sequence given certain conditions.
2.4 Define geometric sequence and write the formula for the general term of a
geometric sequence.
2.5 Find the "n th " term of arithmetic and geometric sequences.
2.6 State Recursive Definition of a Sequence.
2.7 Write first "n" terms using Recursive Definition.
3. Series
3.1 Define series.
3.2 Define arithmetic and geometric series.
3.3 State formula for the first "n" terms of an arithmetic and a geometric series.
3.4 Calculate related problems involving arithmetic and geometric series.
3.5 State formula for sum of an infinite geometric series.
3.6 Find sum of an infinite series.
4. Permutations and Combinations
4.1 Define Fundamental Counting Principle.
4.2 Define permutations and combinations.
4.3 Define factorial notation.
4.4 Solve related problems involving permutations and combinations.
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ABE Level III Curriculum