Test 2 Study Guide: 8.1, 8.2,
8.4 (density only), 8.5 (work only), 9.1, 9.2 and 9.3, test 1 material
and related material
from prior classes
At the Test
NO calculators will be allowed.
I'll bring scratch paper. Ask me if you need more.
I will staple a copy of Algebra,
Geometry, Trigonometry and Derivative Review and the Series Theorems
to your test.
In addition, you may make yourself
reference notes on the small card I hand out
(additional cards are on my door if you need to rewrite it).
The reference card must be handwritten.
Think of the card as a way to include some
important examples or concepts that you aren't as comfortable with. You
won't have room for everything, and you should try to internalize as much
as you can.
You may have out food, hydration, ear plugs, or similar if they will help you
(however any ear plugs must be stand alone--no cell phone, internet or other technological connections)
Your grade will be based on the quality of your responses in a timed environment.
All tests must be turned in when class ends.
What to Study
This test will cover sections
8.1, 8.2, 8.4 (density only), 8.5 (work only), 9.1, 9.2 and 9.3,
as well as test 1 material useful in these sections and related material from prior classes.
Content will be very similar (or the same!) as those you have seen before
from class notes, homework, quizzes 2 and 3, group work, and clicker questions as well as:
We have continued to use integration techniques
(or set up and note what would be useful)
including
expand by multiplying out a quadratic and then power rule, w-subs, trig sub, improper integral followed by special parts to integrate ln(x), arccos(x) or similar,
and the conceptual ideas of numerical integration (for both 8.1 and 9.3), for example.
Here is the test 1 study guide
if you need to review those concepts and techniques.
Material from previous classes includes
graphs and limits of functions (such as arcsin(x), arctan(x), cos(x), ex, ln(x), sin(x), tan(x), x2, and functions to negative powers...),
Riemann sums,
limits, L'Hopitals rule,
divide by the highest term in limits, Pythagorean theorem, similarity of
triangles, area of a circle, area of a rectangle, volume of a box and cylinder, and earlier sequences and series from middle or high school.
New material since test 1 includes:
areas and volumes by slicing 8.1
volume by surface of revolution and arc length 8.2
density 8.4
work 8.5
sequences 9.1
geometric series 9.2
partial sums, terms not going to 9, linearity, integral test in 9.3
Most of the exam will be phrased as the instructions as listed on the sample instructions
Solutions:
class highlights page which shows our day-to-day activities
class review, more review
Be careful of algebra missteps