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Casio fx-9860GII User Manual

Casio fx-9860GII
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Using a graphic display calculator
© Oxford University Press 2012: this may be reproduced for class use solely for the purchaser’s institute
Casio fx-9860GII
Table of contents
Functions
.
Graphing linear functions 2
Finding information about the graph
.
Finding the gradient (slope) of a line 3
.
Solving simultaneous equations
graphically 3
Simultaneous and quadratic equations
.
Solving simultaneous linear equations in
two unknowns 4
.
Solving simultaneous linear equations in
three unknowns 5
Quadratic functions
.
Drawing a quadratic graph 9
.
Solving quadratic equations 10
.
Finding a local minimum or
maximum point 11
Complex numbers
.
Operations with complex numbers 15
.
Conjugate, modulus and argument 16
.
Solving equations with complex roots 16
.
Polar form 17
Exponential functions
.
Drawing an exponential graph 18
.
Finding a horizontal asymptote 19
Logarithmic functions
.
Evaluating logarithms 20
.
Finding an inverse function 21
.
Drawing a logarithmic graph 22
Trigonometric functions
.
Degrees and radians 22
.
Drawing trigonometric graphs 23
More complicated functions
.
Solving a combined quadratic and exponential
equation 24
Sequences and series
.
Summation of a series 25
Modelling
.
Using sinusoidal regression 27
.
Drawing a piecewise function 28
Use this list to help you  nd the topic you needInstructions for the Casio fx-9860GIl calculator
Di erential calculus
.
Finding the gradient at a point 28
.
Drawing a tangent to a curve 29
.
Finding maximum and minimum
points 30
.
Finding a numerical derivative 31
.
Graphing a numerical derivative 32
.
Using the second derivative 34
Integral calculus
.
Finding the value of a defi nite integral 35
.
Finding the area under a curve 36
Vectors
Scalar product
.
Calculating a scalar product 37
.
Calculating the angle between two vectors 38
Vector product
.
Calculating a vector product 39
Statistics and probability
Entering data
.
Entering lists of data 39
.
Entering data from a frequency table 40
Drawing charts
.
Drawing a frequency histogram from a list 40
.
Drawing a frequency histogram from
a frequency table 41
.
Drawing a box and whisker diagram
from a list 42
.
Drawing a box and whisker diagram from a
frequency table 42
Calculating statistics
.
Calculating statistics from a list 43
.
Calculating statistics from a frequency table 44
.
Calculating the interquartile range 45
.
Using statistics 45
Calculating binomial probabilities
.
Use of nCr 46
.
Calculating binomial probabilities 47
Calculating Poisson probabilities
.
Calculating poisson probabilities 49
Calculating normal Probabilities
.
Calculating normal probabilities from X-values 52
.
Calculating X-values from normal probabilities 53
Using a graphic display
calculator
CHAPTER OBJECTIVES:
This chapter shows you how to use your graphic display calculator
(GDC) to solve the different types of problems that you will meet in your
course. You should not work through the whole of the chapter – it is simply
here for reference purposes. When you are working on problems in the
mathematical chapters, you can refer to this chapter for extra help with
your GDC if you need it.
1

Table of Contents

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Casio fx-9860GII Specifications

General IconGeneral
TypeGraphing
Form factorDesktop
Control typeButtons
Product colorSilver
Housing materialPlastic
Built-in capabilityYes
Digits- digits
Display typeLCD
Second displayNo
Display tilting-
Display resolution64 x 128 pixels
Display character size8 x 21 mm
Display number of lines8 lines
Display number of characters21
Flash memory1.5 MB
RAM capacity0.064 MB
Storage media typeFlash
Battery typeAAA
Power sourceBattery
Number of batteries supported4

Summary

Functions

1.1 Graphing linear functions

Plotting linear functions on the calculator screen.

1.2 Finding information about the graph

Using the GDC to find graph properties like gradient.

1.3 Solving simultaneous equations graphically

Finding the intersection of graphs to solve simultaneous equations.

1.4 Solving simultaneous linear equations in two unknowns

Using the calculator's equation solver for two linear equations.

1.5 Solving simultaneous linear equations in three unknowns

Solving systems of three linear equations using the GDC.

1.6 Drawing a quadratic graph

Plotting quadratic functions using the GDC's graphing mode.

1.7 Solving quadratic equations

Finding roots of quadratic equations using the calculator.

1.8 Finding a local minimum or maximum point

Finding extrema of functions using tables and built-in functions.

1.9 Operations with complex numbers

Performing arithmetic operations with complex numbers on the GDC.

1.10 Conjugate, modulus and argument

Calculating conjugate, modulus, and argument of complex numbers.

1.11 Solving equations with complex roots

Solving polynomial equations with complex roots using the calculator.

1.12 Polar form

Converting complex numbers between Cartesian and polar forms.

1.13 Drawing an exponential graph

Graphing exponential functions using the GDC.

1.14 Finding a horizontal asymptote

Identifying horizontal asymptotes by analyzing function behavior.

1.15 Evaluating logarithms

Calculating logarithms with different bases using the GDC.

1.16 Finding an inverse function

Finding and graphing inverse functions on the calculator.

1.17 Drawing a logarithmic graph

Plotting logarithmic functions and adjusting the view window.

1.18 Degrees and radians

Switching between degree and radian modes for trigonometric calculations.

1.19 Drawing trigonometric graphs

Graphing trigonometric functions with appropriate axis settings.

1.20 Solving a combined quadratic and exponential equation

Finding intersection points of quadratic and exponential functions.

1.21 Summation of a series

Calculating sums of arithmetic and geometric series.

1.22 Using sinusoidal regression

Fitting a sine curve to data using the GDC's regression function.

1.23 Drawing a piecewise function

Plotting functions defined by multiple conditions or intervals.

Differential calculus

2.1 Finding the gradient at a point

Calculating the instantaneous rate of change (gradient) of a function.

2.2 Drawing a tangent to a curve

Visualizing and finding the equation of a tangent line to a curve.

2.3 Finding maximum and minimum points

Identifying local extrema (maxima and minima) of functions.

2.4 Finding a numerical derivative

Evaluating the derivative of a function at a specific x-value numerically.

2.5 Graphing a numerical derivative

Plotting the gradient function (derivative) of a given function.

2.6 Using the second derivative

Applying the second derivative to determine the nature of stationary points.

Integral calculus

3.1 Finding the value of a definite integral

Calculating definite integrals to find areas or accumulated quantities.

3.2 Finding the area under a curve

Computing the area bounded by a curve and the x-axis using integration.

Vectors

4.1 Calculating a scalar product

Computing the dot product of two vectors using list operations.

4.2 Calculating the angle between two vectors

Finding the angle between two vectors using the dot product formula.

4.3 Calculating a vector product

Note on the GDC's inability to perform cross products of vectors.

Statistics and probability

5.1 Entering lists of data

Inputting numerical data into the calculator's list editor.

5.2 Entering data from a frequency table

Entering data using number-frequency pairs in lists.

5.3 Drawing a frequency histogram from a list

Creating histograms from raw data stored in a list.

5.4 Drawing a frequency histogram from a frequency table

Generating histograms from data entered as frequency tables.

5.5 Drawing a box and whisker diagram from a list

Visualizing data distribution using box plots from list data.

5.6 Drawing a box and whisker diagram from a frequency table

Creating box plots from data entered in a frequency table.

5.7 Calculating statistics from a list

Computing summary statistics (mean, median, etc.) for list data.

5.8 Calculating statistics from a frequency table

Calculating summary statistics for data from a frequency table.

5.9 Calculating the interquartile range

Determining the IQR (Q3 - Q1) from calculated statistics.

5.10 Using statistics

Accessing stored statistical values for further calculations.

5.11 The use of nCr

Calculating combinations (nCr) for probability problems.

5.12 Calculating binomial probabilities

Finding probabilities for binomial distributions using the GDC.

5.13 Calculating Poisson probabilities

Calculating probabilities for Poisson distributions (P.D. and C.D.).

5.14 Calculating normal probabilities from X-values

Finding probabilities for normal distributions given X-values and parameters.

5.15 Calculating X-values from normal probabilities

Finding X-values for normal distributions given probabilities and parameters.

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