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

IM 3222
Calculus Readiness
1. Functions
1.1 Develop functions from various types of problems.
1.2 Interpret graphs of functions.
1.3 Give geometric interpretations of functions in two variables.
1.4 Define composite functions.
1.5 Evaluate composite functions.
1.6 Define inverse functions.
1.7 Evaluate inverse functions.
1.8 Sketch graph of inverse functions.
2. Sequence and Series
2.1 Define an arithmetic and geometric sequence and find a formula for its "n th "
term.
2.2 Define and arithmetic and geometric series and find sum of first "n" terms.
2.3 Determine limit of an infinite sequence if it exists.
2.4 Determine sum of an infinite series.
2.5 Express given series in sigma notation.
3. Introduction to Calculus
3.1 Use techniques for evaluation limits of functions to evaluate various functions.
3.2 Graph rational functions showing horizontal or vertical asymptotes.
3.3 Use concept of limit to find slope of a curve at a point P.
3.4 Define derivative of F(x) to be f(x).
3.5 Determine derivative of various functions.
3.6 Use derivatives to sketch curves.
3.7 Apply concept of derivative to solve extreme value problems.
3.8 Apply concept of derivative to solve velocity and acceleration problems.
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ABE Level III Curriculum