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The Precalculus
TI-83/TI-84 Tutorial
TABLE OF CONTENTS
INSTRUCTIONS
- How To Use The Tutorial
- Default Settings
- Screen Contrast
- Radian vs Degree Mode
ARITHMETIC
- Order Of Operations
- Arithmetic Operations
- Fractions
- Absolute Value
- Exponents
- Roots
- Scientific Notation
- Complex Numbers
LOGIC
ANGLES
- Angle Conversion
- Converting decimal degrees to DMS
- Converting DMS to decimal degrees
- Converting radians to decimal degrees or DMS
- Converting decimal degrees to radians
- Converting DMS to radians
- Angle Arithmetic In DMS
- Angle addition
- Complement and supplement
- Expressions
- Arc length and sector area
GRAPHING
- Window Settings
- Obtaining a standard viewing window
- Adjusting the window settings
- Pixels and screen size
- ZDecimal
- ZInteger
- Standard trigonometric viewing window
- Zoom Commands
- ZStandard
- ZBox
- ZPrevious and Zoom In
- Zoom Out
- ZoomFit
- Graphing Discrete Data
- Entering data using the stat list editor
- Setting up a stat plot
- Turning Off A Stat Plot
FUNCTIONS
- Evaluating A Function
- Evaluating a function on the Home screen
- Defining a function in the Y= editor
- Using function notation on the Home screen
- Using the TABLE in Ask mode
- Using the TABLE in Auto mode
- Evaluating a function from the graph
- Basic Graphing And Analysis
- Defining a function in the Y= editor
- Standard window and adjustments
- Using TRACE
- Evaluating the function from the graph
- Finding the y-intercept
- Finding zeros
- Finding relative extrema
- Defining a function in the Y= editor
- Standard window and adjustments
- Piecewise Defined Functions
- Greatest Integer function
- Graphing a piecewise-defined function
- Function Composition
- Evaluating a composition on the Home screen
- Graphing a composition function
- Inverse Functions
- Horizontal line test for one-to-one function
- Graphing an inverse
- Testing for inverses
LINEAR FUNCTIONS
- Graphing And Analysis
- Graphing a linear function
- Finding the x and y-intercepts
- Horizontal and vertical lines
- Perpendicular lines and ZSquare
- Solving Linear Equations
- Using the x-intercept method
- Using the intersection method
- Using the Solver
- Solving Linear Inequalities
QUADRATIC FUNCTIONS
- Graphing And Analysis
- Graphing a quadratic function
- Finding the x and y-intercepts
- Finding the vertex
- Solving Quadratic Equations
- Using the x-intercept method
- Using the Solver
- Solving Quadratic Inequalities
ABSOLUTE VALUE FUNCTIONS
- Graphing And Analysis
- Solving Equations
- Solving Inequalities
ROOT FUNCTIONS
- Graphing And Analysis
- Solving Radical Equations
- Solving Radical Inequalities
POLYNOMIAL FUNCTIONS
- Graphing
- Graphing a polynomial function
- Finding the x and y-intercepts
- Finding relative maxima and minima
- Solving Polynomial Equations
- Finding rational zeros
- Writing a polynomial function in factored form
- Solving Polynomial Inequalities
RATIONAL FUNCTIONS
- Asymptotic Behavior
- Investigating a vertical asymptote
- Investigating a horizontal asymptote
- Graphing And Analysis
- Graphing a rational function
- Graphing in dot mode
- Finding the x and y-intercepts
- Finding relative maxima and minima
- Graphing a horizontal asymptote
- Graphing a vertical asymptote
- Graphing a slant asymptote
- Graphs with "holes"
- Solving Rational Equations
- Solving Rational Inequalities
EXPONENTIAL FUNCTIONS
- Evaluating
- General Base
- Base 10
- Natural Exponential Function
- Compound Interest
- Graphing And Analysis
- Graphing an exponential function
- Finding the x and y-intercepts
- Graphing the horizontal asymptote
- Natural exponential function
- Solving Exponential Equations
- Solving equations (intersection method)
- Solving equations (x-intercept method)
- Compound Interest
- Solving Exponential Inequalities
LOGARITHMIC FUNCTIONS
- Evaluating
- Common logarithm
- Natural logarithm
- General base using the change of base formula
- Graphing And Analysis
- Graphing the inverse of an exponential function
- Graphing a logarithmic function using the change of base formula
- Finding the x and y-intercepts
- Graphing the vertical asymptote
- Natural logarithmic function
- Solving Logarithmic Equations
- Solving equations (intersection method)
- Solving equations (x-intercept method)
- Solving Logarithmic Inequalities
UNIT CIRCLE
- Circular Functions
- Graphing a unit circle
- Evaluating the circular functions
- The unit circle in degrees
- Returning to function mode
TRIGONOMETRIC FUNCTIONS
- Evaluating
- Home screen and decimal degrees
- Evaluating with DMS
- Using radians in Degree mode
- Home screen and radians
- Using degrees or DMS in Radian mode
- Using function notation
- Using the TABLE in Ask mode
- Changing the function from the TABLE
- Using the TABLE in Auto mode
- Expressions
- Examples from solving triangles
- Powers of trigonometric functions
- Law of Cosines
- Law of Sines
- Examples from applied or vector problems
- Area formulas
- Basic Graphs
- The sine function
- Selecting and de-selecting functions
- The cosine function
- The tangent function
- Connected mode and false asymptotes
- Graphing with the Dot style
- The cosecant function
- Using Dot mode
- The secant function
- The cotangent function
- Graphing And Analysis
- Entering the function
- Choosing an optimal window
- Using TRACE
- Evaluating the function from the graph
- Finding x-intercepts (zeros)
- Finding maximum and minimum values
- Working in Degree mode
INVERSE TRIG FUNCTIONS
- Evaluating
- The arcsine function
- The arccosine function
- Obtaining results in DMS
- Converting degrees to radians
- The arctangent function
- Finding inverse cosecant values
- Finding inverse cotangent values
- Finding inverse secant values
- Converting radians to degrees
- Using reference angles
- Expressions
- Examples from solving triangles
- Law of Sines
- Law of Cosines
- Composition of trig and inverse trig functions
- Basic Graphs
- Graphing the inverse
- The arcsine function
- The arccosine function
- The arctangent function
- The inverse cosecant function
- The inverse cotangent function
- The inverse secant function
- Evaluating from the graph
- Working in Degree mode
IDENTITIES
- Verifying Identities
- Numerically using the TABLE
- Verifying graphically
TRIGONOMETRIC EQUATIONS
- Solving Equations
- Using the x-intercept method
- Using the intersection method
- Solving Inequalities
- Using the x-intercept method
VECTORS
- Conversions
- Finding the magnitude
- Finding the direction angle
- Finding the x-component
- Finding the y-component
- Basic Operations
- Resultant and difference vectors
- Dot product
- Finding the angle between two vectors
COMPLEX NUMBERS
- Basic Operations
- Complex conjugate
- Real and imaginary parts
- Real vs complex mode
- Polar Form Conversions
- Finding the modulus
- Finding the argument
- Using the Polar command
- Rectangular to polar commands
- Polar to rectangular
- Using the Rect command
- Polar Form Operations
- Setting polar form mode
- Products and quotients
- Finding powers
- Returning To Real Mode
POLAR COORDINATES
- Conversions
- Converting to polar
- Converting to rectangular
- Evaluating Polar Functions
- Setting polar mode
- Entering a function
- Using function notation
- Using the TABLE in Ask mode
- Using the TABLE in Auto mode
- Returning To Function Mode
- Graphing
- Setting polar mode
- Entering a function
- Standard window and adjustment
- Squaring the window
- Finding rectangular coordinates from the graph
- Working in Degree mode
- Graphing a conic section in polar form
- Returning To Function Mode
CONIC SECTIONS
- Circles
- Graphing a circle
- Drawing a circle
- Parabolas
- Ellipses
- Hyperbolas
REGRESSION
- Linear Regression
- Entering data using the stat list editor
- Turning on the correlation coefficient
- Calculating the least-squares regression model
- Graphing the regression model against the data
- Quadratic Regression
- Polynomial Regression
- Exponential Regression
- Logarithmic Regression
- Turning Off Stat Plots
- Sinusoidal Regression
- Setting up the stat editor
- Entering data
- Setting up a scatter plot
- Calculating and graphing the regression model
- Turning off a stat plot
PARAMETRIC EQUATIONS
- Graphing Plane Curves
- Setting parametric mode
- Entering parametric equations
- Standard window and adjusting
- Evaluating parametric equations from the graph
- Evaluating parametric equations from the TABLE
- Lissajous figures
- Graphing a hyperbola
- Returning To Function Mode
MATRICES
- Matrix Operations
- Entering a matrix using the matrix editor
- Addition, subtraction and scalar multiplication
- Opposite of a matrix
- Matrix multiplication
- Determinants
- Transpose Of A Matrix
- Inverse Matrix
SYSTEMS OF EQUATIONS
- Solving Graphically
- Finding intersection points
- Finding x-intercepts of the difference function
- Using The SOLVER
- Gaussian Elimination
- Entering the augmented matrix
- Using row operations to obtain row-echelon form
- Using ref to obtain row-echelon form
- Gauss-Jordan Reduction
- Gauss-Jordan reduction with row operations
- Using rref for reduced row-echelon form
- Solving With An Inverse Matrix
- Cramer's Rule
INEQUALITIES IN TWO VARIABLES
- Graphing A Solution Set
- Systems Of Inequalities
- Linear Programming
SEQUENCES
- Evaluating A Sequence
- Finding terms in function mode
- Defining a sequence in sequence mode
- Finding terms from the home screen
- Using the TABLE
- Recursively defined sequences
- Graphing A Sequence
- Graphing a non-recursive sequence
- Graphing a recursive sequence
- Evaluating a sequence from the graph
- Sums
- Finding sums in function mode
- Partial sums
- Finding sums in sequence mode
- Returning To Function Mode
PROBABILITY
- Binomial Theorem
- Computing coefficients
- Factorial
- Permutations
- Combinations
Copyright © 2010 Turner Educational
Publishing
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