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 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.
Topics 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.
Many questions will be very similar (or the same!) as those you have seen before
from class notes, homework, quizzes 4, 5, 6, group work, and clicker questions.
Detailed solutions to part 2 of Wiley practice are on ASULearn
and I'll post WileyPlus Online
Test 2 Practice Problems (optional)
including some new problems plus problems you have seen before, with solutions and answers
- We have continued to use integration techniques
expand by multiplying out a quadratic and then power rule, w-subs, trig sub, improper integral followed by parts to integrate
and the conceptual ideas of numerical integration (for both 8.1 and 9.3), for example.
Sometimes I asked you to set up and
comment on what techniques would be useful and other times we evaluated the integral.
Here is the test 1 study guide
if you need to review those concepts and techniques.
- Material from previous classes includes
graphs of functions, 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.
- areas and volumes by slicing 8.1
slides and clicker,
practice sheet for area,
practice sheet for volume, and
group work solutions
- volume by surface of revolution and arc length 8.2
slides and clicker, practice sheet,
solutions to part 2 of Wiley practice are on ASULearn (like they are for all the sections)
- density 8.4 slides and clicker, traffic density, and
work 8.5 slides and clicker,
practice sheet, and
group work solutions
sequences 9.1 slides and
clickers, intro in Maple, and geometric series 9.2 slides and
- series in 9.3 including partial sums,
series divergence when terms not getting smaller,
linearity arguments, and the integral test
slides and clickers, practice sheet,
group work target practice,
group work solutions,
geometric series versus p-series
Algebra, Geometry, Trigonometry and Derivative Review (a copy will be stapled to your test)
Class highlights page which shows our day-to-day activities
Review class notes, homework, quizzes, group work and clicker questions