Test 3 Study Guide:
9.4, 9.5, 10.1, 10.2, 10.3, 10.4, 11.1, 11.2, 11.4, 11.5, 11.6,
test 1 and test 2
material
and related material
from prior classes
At the Test
NO calculators will be allowed.
The backs of pages will be blankuse these as your scratch paper. Ask me if you need more.
I will staple a copy of the
series theorems sheet and the
Algebra, Geometry, Trigonometry and Derivative Review to your test.
You may make yourself a cheat sheet on BOTH sides of the small card I hand out (additional cards are on my door if you need to rewrite it). You are limited to the card, and that card must be handwritten, and aside
from writing utensils, this is the only item you are allowed.
I will separate the test into a section that has material from
Chapters 7 and 8, and then another section that has material from Chapters
9, 10 and 11, so you may want to organize your cheat sheet that way.
Your grade will be based on the quality of your responses in a timed
environment. All tests must be turned in when class ends.
The test will have more pages than test 1 and test 2.
You may use the entire time period or
you may leave if you are finished early.
Topics to Study
This test will cover sections
7.1, 7.2, 7.4, 7.5, 7.6,
8.1, 8.2, 8.4 (density only), 8.5 (work only), 9.1, 9.2 and 9.3,
9.4, 9.5, 10.1, 10.2, 10.3, 10.4, 11.1, 11.2, 11.4, 11.5, 11.6
as well as related material from prior classes.
This test is comprehensive, although there will be more
problems from newer material than from previous material.
Questions will be the same (or very similar) to those you have seen before
from class notes, homework, quizzes, test 1 and test 2,
group work or clicker questions.
Online
Test 3 Practice Problems (optional) are up on Wileyplus, and the
Test 1 and Test 2 Practice Problems (optional) remain available too.
The new material since test 2 includes more series tests (see the
series theorems sheet),
radius or interval of convergence of
a power series or Taylor series, Taylor polynomials
and series,
finding new series from known ones, the error bound formula,
whether a function solves a differential equation, finding a
particular solution with an initial condition, slope fields and
equilibrium points, separation of variables, and setting up and solving
differential equations.
 series convergence
convergence tests slides and clickers,
review slides and clickers,
Group Work Target Practice,
solutions
 power series slides and clickers
 Taylor polynomials and series, calculations and convergence
slides and clickers,
Animation,
practice,
solutions
 new Taylor series from old, error bounds
slides and clickers,
finding and using Taylor series practice,
solutions
 testing a DE, slope fields, equilibrium, stability, Euler's method,
separation of variables
slides and clickers,
slope field practice (solutions are
in the slides)
 applications of des, setting up from reallife scenarios
slides and clickers,
group work target practice,
solutions
Test 2
topics included
numerical integration, length and arc length, areas and volumes by slicing,
volume by surface of revolution, density, work, sequences, geometric series
and series in 9.3 including partial sums and the integral test.
 Overall review slides from class
 numerical integration
slides and clicker, and
group target practice and
partial solutions
 areas and volumes by slicing
slides and clicker,
practice sheet for area,
practice sheet for volume, and
slicing a cone and cylinder solutions
 volume by surface of revolution and arc length
slides and clicker
 density slides and clicker,
 work slides and clicker,
group work target practice and
solutions,
extra practice

sequences slides and
clickers, intro in Maple,
 geometric series slides and
clickers, and group work target practice,
solutions
 series in 9.3 including partial sums,
series divergence when terms not getting smaller,
linearity arguments, and the integral test
slides and clickers,
integral test
group work target practice,
solutions,
 geometric series versus pseries slides
table of when series tests give convergence or divergence
Test 1 material included
integrals from calc 1 such as the FTC on a known derivative,
and splitting up a numerator into its sums, as well as
substitution, parts, partial
fractions, trig sub, and improper integrals.
Material from previous classes includes
slope directions, the tangent line, above or below the xaxis via the sign
of the function value,
increasing or decreasing via the sign of the first derivative,
concave up or down via the sign of the second derivative,
graphs of functions, left and right sums, 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 cylinder...