3.6 Understand the vocabulary of rational functions:
vertical and horizontal asymptotes. Be able to locate
vertical asymptotes by determining the roots of the
denominator. *Example 3 page 311*. Be able to
locate horizontal asymptotes by dividing numerator and
denominator by the highest power of `x` in the
denominator *same example*. Box, page 313.
*Exercises 8,9,10,11*. No slant asymptotes on this test!
Be able to graph a rational function from its asymptotes
and intercepts, using a table to keep track of the sign
as `x` increases past roots of numerator and
denominator. *Example 3 again, Example 4 p. 313;
Exercises 25,27,31,37,39*.

4.1 Understand the two behaviors of exponential
functions `y=a ^{x}`. When

4.2 Understand the definition of logarithms as inverses
of exponentials. `log _{a}x` is the power
of

4.3 Understand the Laws of logarithms (Box, p.359) and be
able to use them to expand, simplify or evaluate expressions
*Examples 1-4, Exercises 13,15,17 27*. Know how the Change of
base formula `y = log _{b}(x) = log_{a}(x)/log_{a}(b)` can be derived from the exponential
form

4.4 This section gives practical steps for solving
exponential equations (Guidelines, p.365) and logarithmic
equations (Guidelines, p.368). Always remember to check your
answers! *Exercises 25, 33, 40.*

6.1 Understand the terminology of angles: vertex, initial side,
terminal side. Remember that angles are measured counterclockwise
(see negative angles on p.476). Be able to convert degrees to
radians and vice-versa (Box, p.474). Understand that the radian measure of
an angle is the length of the arc the angle intercepts, when the
vertex is placed at the center of a circle of radius 1. And that in
a circle of radius `r` the lenths `s` of the arc
intercepted by a central angle of θ radians is `s = r`θ
(Box, p.477). *Example 4, Exercises 5,7,11,13*.

6.2 Understand the definitions of sinθ, cosθ and tanθ
when θ is one of the acute angles in a right triangle (Box, p.483 -
top line). We will not stress sec, csc and cot. Be able to do
computations like *Example 1*. Be familiar with the "special
triangles" with angles (45^{o}, 45^{o}, 90^{o})
and (30^{o}, 60^{o}, 90^{o}) - know that the
latter is half of an equilateral trangle! - and be able to calculate
sin, cos, tan of 30^{o}, 45^{o} and 60^{o}
from the geometry (see Figs. 5 and 6 p.484 and Table 1 p.485). Be able
to "solve" a right triangle given one acute angle and one side or
given all three sides.
*Examples 4, 5, Exercises *(sin,cos and tan only)* 1,11,31,43,45,51*.

6.3 The side angles in a right triangle are acute angles. Know how to
generalize the definitions of sin, cos and tan to *any* angle.
Understand that if the angle is in standard position (p.475) then the sign
of the three functions depends on which quadrant the terminal edge
falls in (Box, p. 494). Be able to use the concept of "reference angle"
(Box, p.496) and the sign rule to calculate sin, cos and tan of any angle.
*Examples 3a, 4a*. Understand how to use the identities tanθ =
sinθ/cosθ and the "Pythagorean Identity"
sin^{2}θ + cos^{2}θ = 1 (Box p. 498;
just concentrate on these two). In particular be able to
express sinθ in terms of cosθ if you know what
quadrant θ is in (*Example 5*). Know how to calculate
the area of a triangle from two sides and the included angle
(Box, p.500). *Exercises 1,5,35,43,50*.

Use Review material starting on p.521 for further practice.
Concept Check 1-10a, Exercises 1-12, 15-25, 29-53 (sin, cos and tan
only).

Nov 7, 2003