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

• Test Operations

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
• Setting an appropriate WINDOW
• Using TRACE
• Evaluating the function from the graph
• Finding zeros
• Finding relative extrema
• 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
• Graphing Parabolas
• Graphing Ellipses
• Graphing 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 Using The 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