### 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.
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. The exam will have more pages than the first two since it is
cumulative, although there will be more
problems from newer material than from previous material.
Approximately 1/3 of the material will be from Chapters 7 and 8, and 2/3 from 9, 10 and 11. 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.
You may use the entire time period or
you may leave if you are finished early.
### What 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.
Questions will be the same (or very similar) to those you have seen before
from **quizzes 1-6, test 1 and test 2, class notes, Wiley and paper homework,
group work or clicker questions**.
The class highlights page shows our day-to-day activities.
Online
Test 3 Practice Problems (optional) are up on Wileyplus, and the
Test 1 and Test 2 Practice Problems (optional) remain available too.
Detailed solutions to group work and Wiley part 2
are on ASULearn along with the videos I made,
and I'll also post "ready for prime time" videos from your classmates there too.
** Chapter 7** Solutions to Group Work in Chapter 7

Material from prior classes
includes integrals from Calculus I and Analytic Geometry such as the Fundamental Theorem of Calculus on a known derivative,
splitting up a numerator into its sums, as well as content
related to algebraic, graphical, numeric
and trigonometric perspectives, including graphs of common functions
and their various limits (such as arcsin(x), arctan(x), cos(x), e^{x},
ln(x), sin(x), tan(x), x, x^{2}, and
functions to negative powers...)

substitution 7.1

parts 7.2

partial fractions 7.3

trig sub 7.3

numerical 7.5

improper integrals 7.6

**Chapter 8** Solutions to Group Work in Chapter 8

Material from previous classes includes
graphs and limits of functions mentioned above in Chapter 7, Riemann sums,
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

volume by surface of revolution and arc length 8.2

density 8.4

work 8.5

**Chapter 9** Solutions to Group Work in Chapter 9

Material from previous classes includes limits such as limits of the functions mentioned above in Chapter 7,
L'Hopitals rule, algebraic operations of quotients,
exponents, factorials and more, and earlier sequences and series from middle or high school.

sequences 9.1

geometric series 9.2

partial sums, terms not going to 9, linearity, integral test in 9.3

convergence tests slides and clickers 9.4

power series slides and clickers 9.5

**Chapter 10** Solutions to Group Work in Chapter 10

Material from previous classes is similar to what is listed above in Chapter 9 plus an additional emphasis on derivatives, like chain rule

Finding Taylor polynomials and series slides and clickers 10.1 and 10.2

Using Taylor series slides and clickers 10.3 and 10.4

**Chapter 11** Solutions to Group Work in Chapter 11

Material from prior classes is similar to what is listed above in Chapter 9, plus more algebra related to
logarithms and exponentials, and an additional emphasis on both derivatives and integrals

testing a DE, slope fields, equilibrium, stability, Euler's method,
separation of variables slides and clickers 11.1-11.4,

applications slides and clickers 11.4-11.6

Review