StatCrunch for MATH 1530
by Aaron Willmon
Chattanooga State Community College
1
Table of Contents
Unit 1
Getting Data Into StatCrunch From MyLabsPlus/MyMathLab/MyStatLab
Creating Frequency Tables in StatCrunch
Creating Histograms in StatCrunch
Pie Charts
MATH 1530 Formula Sheet for Tests
Return to Testing Desk with Test Paper
Chapter 3 Numerically Summarizing Data
Sample Standard Deviation:
Empirical Rule:
Mean from Grouped Data:
Sample Standard Deviation from Groupe
Section 1.3 Rates of Change and Tangents
A.
Average Rate of Change
The average rate of change gives a measure of how much one quantity changes with respect to another
Familiar calculations: miles per gallon, miles per hour, cost per kilowatt
Compute the a
Section 2.1 Tangents and Derivatives at a Point
A. Slope of Tangent Line
Previously, we approximated the slope of the tangent line by taking the limit of the slopes of the secant lines
More formally, the slope of the line tangent to the curve
at the poi
Section 2.2 Derivative as a Function
A. Derivative at a specific point
In the previous section we computed the slope of the tangent line and the derivative of
as follows:
at the point
The value that we obtain from this calculation represents the derivati
Section 1.6 One-Sided Limits
A. Limit Notation
Previously, we discussed the meaning and notation for the limit of a function.
()
This notation is read as the limit of ( ) as approaches is equal to
This means that as gets CLOSE to the value , on both the
Section 1.7 Continuity
A. Understanding Continuity
Intuitively, we think of something as being continuous if it keeps going without any breaks or
interruptions
Similarly, we can think of a continuous function as one whose graph we can trace from end-to-
Section 1.4 Limit of a Function and Limit Laws
A. Limit Notation
The idea of a limit was introduced in the previous section to approximate the slope of the tangent line
Denote the limit as follows:
lim ( ) =
This notation is read as the limit of ( ) as
Section 1.8 Limits Involving Infinity
A. Infinite Limits
We say that a limit is infinite if () as . That is, the values of ( ) become larger and
larger as gets closer and closer to the value .
Example: Consider the function ( ) = 1/ 2 . Use the graph and
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1 0 .3 Po la r Co o rdina t es
Module Goal:The student will obtain the ability to use techniques of polar coordinates to transform curves
(that do not satisfy the
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1 0 .4 Area s a nd Leng t hs in Po la r Co o rdina t es
Module Goal:The student will obtain the ability to apply calculus to polar representations of curves to
det
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1 0 .5 Co nic Sect io ns
Module Goal:The student will obtain the ability to use the definitions of conics (parabolas, ellipses, and
hyperbolas) and to derive their
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1 0 .6 Co nic Sect io ns in Po la r Co o rdina t es
Module Goal:The student will obtain the ability to use the definitions of conics (parabolas, ellipses, and
hype
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Cha pt er 1 1 Int ro duct io n
To date we have learned quite a lot regarding continuous functions; graphs, extreme values, derivatives,
limits, anti-derivatives, e
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1 1 .1 Sequences
Module Goal:The student will obtain the ability to analyze sequences to include establishing the value of
the limit if convergent.
Module Outline:
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1 1 .2 Series
Module Goal:The student will obtain the ability to analyze series to include establishing the value of the
limit if convergent.
Module Outline:If we
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1 1 .3 The Int eg ra l Test a nd Est ima t es o f Sums
Module Goal:The student will obtain the ability to apply the Integral test (also used to estimate the limit
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1 1 .4 The Co mpa riso n Test
Module Goal:The student will obtain the ability to apply the Comparison test to determine the convergence
properties of series.
Modul
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1 1 .5 Alt erna t ing Series
Module Goal:The student will obtain the ability to apply the Alternating series test to determine the
convergence properties of series
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1 1 .6 Abso lut e Co nv erg ence a nd t he Ra t io a nd Ro o t Test s
Module Goal:The student will obtain the ability to apply the Ratio test and the Root test (wi
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1 1 .7 St ra t eg y f o r Test ing Series
Module Goal:The student will review the application of certain tests to determine the convergence
properties of series.
M
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1 1 .8 Po wer Series
Module Goal:The student will obtain the ability to analyze power series and determine the radius and
interval of convergence.
Module Outline:
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Sect io n 6 .1 Inv erse Funct io ns
Problem: Throughout high school physics class, you learned how to find the temperature in degrees
Celsius from a given temperat
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Sect io n 6 .2 Ex po nent ia l Funct io ns a nd t heir Deriv a t iv es
Problem: Instead of taking the derivative of the function
, how about the derivative of
? Fu
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Sect io n 6 .3 Lo g a rit hmic Funct io ns
Problem: All functions have an inverse function. What about
? Such inverse functions are
called logarithmic functions.
M
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Sect io n 6 .4 Deriv a t iv es o f Lo g a rit hmic Funct io ns
Module Goal:The student will obtain the ability to work with derivatives and integrals of logarithmi
Name
Math 1920-R5X
Date
Outline for Section 7.1, Inverse Functions
I. Inverse Functions
A. Representation of functions
1. Table
2. Graph
3. Mathematical expression
B. Definition: A function has an inverse over its domain if it is one-to-one,
or equally wr
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6 .5 Ex po nent ia l G ro wt h a nd Deca y
Module Goal: The student will obtain the ability to solve simple first order differential equations involving
exponentia
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Sect io n 6 .6 Inv erse Trig no met ric Funct io ns
Module Goal: The student will obtain the ability to work with inverse trigonometric functions, their domain
of