Outcomes List for Math 122_200702:
Winter 200708
Updated for the final exam:
This is the complete review
sheet for the final exam.
The purpose of the Outcomes List is to give you a concrete summary of the material you
should know, and the skills you should acquire, by the end of this course. As an overall
summary, you should be able to do the following, after completing this course:
•
Given a function, integrate using the most appropriate technique.
•
Be able to solve physical problems such as work and volume calculations by
identifying the relevant function and range, and integrating.
•
Model a system using information on the forces of change in that system:
construct descriptive differential equations, and be able to find physically
meaningful solutions.
The Outcomes List will be updated for each exam. Homework problems from the book,
as well as relevant examples from the text itself, are included as a study guide below.
The following information is for reviewing for the
material we have covered since Exam 3.
Section 8.3:
Given a "trigonometric integral", which includes powers of sin, cos,
tan, sec, be able to find its antiderivative, particularly using reduction formulas and
trig identities for rewriting the integrand.
In addition to reviewing homework problems assigned to 8.3, look at (all references to
8.3):
Example 2, Example 3,
Regular Problem
55.
Section 8.8:
Given an "improper integral", which either has an "infinite interval"
of integration, or an "infinite height",
be able to evaluate it using limiting processes
(integrating over a finite interval, or integrating on an interval away from the points
of "infinite height".
In addition to reviewing homework problems assigned to 8.8, look at (all references to
8.8):
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View Full DocumentExample 3,
Example 5
Section 11.1: Be able to write curve equations in both polar and rectangular form,
and be able to convert between them. Be able to work with the formula for basic
shapes in polar coordinates:
circles, lines, limacons, cardioids, rose curves, spirals.
In addition to reviewing homework problems assigned to 11.1, look at (all references to
11.1):
Regular Problem 12, 20.
Section 11.2: Be able to use polar formulas to compute slope of the tangent line, as
well as arclength.
In addition to reviewing homework problems assigned to 11.2, look at (all references to
11.2):
Example 6, Example 8.
Section 11.3:
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 Winter '08
 Falco
 Math, Derivative, Riemann, quick check problem, regular problems

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