Precalculus Third Edition |
Preparing For Your Journey |
Interpreting Graphs |
The Spring Problem |

Modeling With Functions |
Rates Of Change |
Setting Up Word Problems |
Equivalent Expressions |

Composition Of Functions |
Inverse Functions |
Piecewise Defined Functions And Continuity |
Radians As A Unit Of Measure |

Radian Measure In The Unit Circle |
Applications Of Radian Measure |
Functions And Trigonometry |
Characteristics Of Functions |

Even And Odd Functions |
Transformations Of Functions |
Special Angles In The Unit Circle |
Trigonometric Ratios In The Unit Circle |

Graphs Of Sine And Cosine |
Transformations Of Sine And Cosine |
Horizontal Stretches Of Sine And Cosine Graphs |
Solving Trigonometric Equations |

Inverse Sine And Cosine |
Graphs Of Tangent And Inverse Tangent |
Algebra And Area Under A Curve |
Operations With Rational Expressions |

Rewriting Expressions And Equations |
Solving Nonlinear Systems Of Equations |
Polynomial Division |
Solving Classic Word Problems |

Using Sigma Notation |
Area Under A Curve Part One |
Area Under A Curve Part Two |
Area Under A Curve Part Three |

Polynomial And Rational Functions |
Graphs Of Polynomial Functions In Factored Form |
Writing Equations Of Polynomial Functions |
Identifying And Using Roots Of Polynomials |

Graphing Transformations Of Y = 1 X |
Graphing Rational Functions |
Graphing Reciprocal Functions |
Polynomial And Rational Inequalities |

Applications Of Polynomial And Rational Functions |
Exponentials And Logarithms |
Applications Of Exponential Functions |
Stretching Exponential Functions |

The Number E |
Logarithms |
Properties Of Logarithms |
Solving Exponential And Logarithmic Equations |

Graphing Logarithmic Functions |
Applications Of Exponentials And Logarithms |
Triangles And Vectors |
The Law Of Sines And Area |

Law Of Cosines |
The Ambiguous Case Of The Law Of Sines |
An Introduction To Vectors |
Operations With Vectors |

Applications Of Vectors |
The Dot Product |
Limits And Rates |
An Introduction To Limits |

Working With One Sided Limits |
The Definition Of A Limit |
Limits And Continuity |
Special Limits |

Rates Of Change From Data |
Slope And Rates Of Change |
Average Velocity And Rates Of Change |
Moving From Aroc To Iroc |

Rate Of Change Applications |
Extending Periodic Functions |
Graphing Y = Asin(b(x – H)) + K |
Modeling With Periodic Functions |

Improving The Spring Problem |
Graphing Reciprocal Trigonometric Functions |
Trigonometric Functions Geometrically (optional) |
Simplifying Trigonometric Expressions |

Proving Trigonometric Identities |
Angle Sum And Difference Identities |
Double Angle And Half Angle Identities |
Solving Complex Trigonometric Equations |

Matrices |
Introduction To Matrices |
Matrix Multiplication |
Determinants And Inverse Matrices |

Solving Systems Using Matrix Equations |
Linear Transformations |
Compositions Of Transformations |
Properties Of Linear Transformations |

Conics And Parametric Functions |
Circles And Completing The Square |
Ellipses |
Hyperbolas |

Parabolas |
Identifying Conic Sections |
Parametrically Defined Functions |
Applications Of Parametric Defined Functions |

Conic Sections In Parametric Form |
Polar Functions And Complex Numbers |
Plotting Polar Coordinates |
Graphs Of Polar Functions |

Families Of Polar Functions |
Converting Between Polar And Rectangular Forms |
Using The Complex Plane |
Operations With Complex Numbers Geometrically |

Polar Form Of Complex Numbers |
Operations With Complex Numbers In Polar Form |
Powers And Roots Of Complex Numbers |
Series And Statistics |

Arithmetic Series |
Geometric Series |
Infinite Geometric Series |
Applications Of Geometric Series |

The Sum Of The Harmonic Series (optional) |
The Binomial Theorem |
Binomial Probabilities |
Expected Value Of A Discrete Random Variable |

Expected Value And Decision Making |
Precalculus Finale |
A Race To Infinity |
Limits To Infinity |

Evaluating Limits At A Point Algebraically |
Another Look At E |
Trapping Area With Trapezoids |
Area As A Function |

Going All To Pieces Writing An Area Program |
Rocket Launch |
Velocity And Position Graphs |
Instantaneous Velocity |

Slope Functions |
The Definition Of Derivative |
Slope And Area Under A Curve |
Calcv3 |

Calculus Third Edition |
A Beginning Look At Calculus |
Applying Rates And Distance |
End Behavior And Asymptotes |

Holes Vertical Asymptotes And Approach Statements |
Composite Functions And Inverse Functions |
Attributes Of Even And Odd Functions |
Design A Flag |

Finite Differences |
Slope Statements And Finite Differences Of Non Polynomials |
The Slope Walk |
Distance And Velocity |

Average Velocity On A Position Graph |
Average Velocity On A Velocity Graph |
Acceleration |
Area And Slope |

Rates Sums Limits And Continuity |
Area Under A Curve Using Trapezoids |
Methods To Calculate Area Under A Curve |
Area Under A Curve As A Riemann Sum |

Introduction To Limits As Predictions |
Intuitive Ideas Of Continuity |
Definition Of Continuity |
Evaluating Limits |

Ramp Lab |
Sudden Impact |
Local Linearity |
Improving Approximation |

Slope And Curve Analysis |
The Power Rule |
Secants To Tangents Aroc To Iroc |
Definition Of A Derivative |

Derivatives Using Multiple Strategies |
Derivatives Of Sine And Cosine |
Curve Constructor Part One |
The Shape Of A Curve |

Curve Sketching Derivatives |
Ways To Describe F′ And F |
Conditions For Differentiability |
Curve Constructor Part Two |

Differentiability Of Specific Functions |
Intersection Of Tangents |
The Fundamental Theorem Of Calculus |
Definite Integrals |

Properties Of Definite Integrals |
More Properties Of Definite Integrals |
Deriving “area Functions” |
Indefinite And Definite Integrals |

Integrals As Accumulators |
Fast Times Parts One And Two |
Fast Times Parts Three And Four |
Fast Times Part Five |

Area Between Curves |
More Area Between Curves |
Multiple Methods For Calculating Area Between Curves |
Newtons Method |

Derivative Tools And Applications |
Distance Velocity And Acceleration Functions |
Optimization |
Using The Frist And Second Derivatives |

Applying The First And Second Derivative Tests |
The Product Rule |
The Chain Rule And Application Part One |
The Chain Rule And Application Part Two |

The Quotient Rule |
More Trigonometric Derivatives |
Optimization Problems Part One |
Optimization Problems Part Two |

Optimization Problems Part Three |
Chain Rule Extension Of The Fundamental Theorem Of Calculus |
Evaluating Limits Of Indeterminate Forms |
Using Lhôpitals Rule |

Mid Course Reflection Activities |
More Tools And Theorems |
Exponential Functions |
Derivatives Of Exponential Functions |

Derivatives Using Multiple Tools |
Integrals Of Exponential Functions |
Implicit Differentiation |
Implicit Differentiation Practice |

Inverse Trigonometric Derivatives |
Derivatives Of Natural Logarithms |
Derivatives Of Inverse Functions |
Mean Value |

Mean Value Theorem |
Mean Value Theorem Applications |
Improper Integrals |
Related Rates And Integration Tools |

Related Rates Introduction |
Related Rates Applications The Pythagorean Theorem |
Related Rates Applications Similar Triangles |
Related Rates Applications Choosing The Best Formula |

Related Rates Applications Trigonometry |
Undoing The Chain Rule |
Integration With U Substitution |
Definite Integrals And U Substitution |

Varied Integration Techniques |
Solving Differential Equations |
Newtons Law Of Cooling |
Solving Separable Differential Equations |

Slope Fields With Parallel Tangents |
Plotting Slope Efficiently |
Differential Equation And Slope Field Applications |
Eulers Method |

Integration By Parts |
Integration By Parts With Substitution |
Integration By Partial Fractions |
Volume |

Volumes By Slicing |
The Disk Method |
The Washer Method |
Revolution About Horizontal And Vertical Lines |

Changing The Axis Of Rotation |
Disk And Washer Problems |
Shell Lab |
Comparing The Disk And Shell Methods |

Using An Appropriate Method To Calculate Volume |
Cross Sections Lab General Case |
Cross Sections Lab Functions Given |
Cross Section Problems |

Arc Length |
Pre Calculus Review |
More Infinite Geometric Series |
Convergence And Divergence |

Parametric Equations |
Converting Between Parametric And Rectilinear Form |
Introduction To Vectors |
Vector Operations |

Graphs Of Polar Equations |
Converting Between Polar And Rectilinear Form |
Polar Families |
Convergence Of Series |

The Divergence Test |
The Alternating Series Test |
The Integral Test |
The P Series Test |

The Comparison Test |
The Limit Comparison Test |
The Ratio Test |
The Cootie Lab |

More Logistic Differential Equations |
Power Series Convergence |
Using Polynomials To Approximate Curves |
Absolute Convergence |

Regrouping And Rearranging Series |
Polar And Parametric Functions |
Area Bounded By A Polar Curve |
More Polar Area |

Area Between Polar Curves |
Applied Calculus In Component Form |
Second Derivatives In Component Form |
Total Distance And Arc Length |

Slopes Of Polar Curves |
More Slopes Of Polar Curves |
Battling Robots |
Approximating Functions And Error |

Approximating With Polynomial Functions |
Taylor Polynomials About X = 0 |
Taylor Polynomials About X = C |
Taylor Series |

Building Taylor Series Using Substitution |
Interval Of Convergence Using Technology |
Interval Of Convergence Analytically |
Error Bound For Alternating Taylor Polynomials |

Lagrange Error Bound |
Evaluating Indeterminate Forms Using Taylor Series |
Statistics |
Representing Data |

Visualizing Information |
Histograms And Stem And Leaf Plots |
Types Of Data And Variables |
Choosing Mean Or Median |

Variance And Standard Deviation |
Sample Variance And Sample Standard Deviation |
Investigating Data Representations |
Percentiles |

Z Scores |
Two Variable Quantitative Data |
Scatterplots And Association |
Line Of Best Fit |

Residuals |
The Least Squares Regression Line |
Using Technology To Find The Lsrl |
The Correlation Coefficient |

Behavior Of Correlation And The Lsrl |
Residual Plots |
Association Is Not Causation |
Interpreting Correlation In Context |

Multivariable Categorical Data |
Probabilities And Two Way Frequency Tables |
Association And Conditional Relative Frequency Tables |
Probability Notation |

Relative Frequency Tables And Conditional Probabilities |
Analyzing False Positives |
Probability Trees |
Problem Solving With Categorical Data |

Simulations Of Probability |
Studies And Experiments |
Survey Design I |
Samples And The Role Of Randomness |

Sampling When Random Is Not Possible |
Observational Studies And Experiments |
Survey Design Ii (optional) |
Cause And Effect With Experiments |

Experimental Design I |
Experimental Design Ii |
Experimental Design Iii |
Density Functions And Normal Distributions |

Relative Frequency Histograms And Random Variables |
Introduction To Density Functions |
The Normal Probability Density Function |
The Inverse Normal Function |

The Standard Normal Distribution And Z Scores |
Additional Practice Problems |
Discrete Probability Distributions |
Mean And Variance Of A Discrete Random Variable |

Linear Combinations Of Independent Random Variables |
Exploring The Variability Of X – X |
Introducing The Binomial Setting |
Binomial Probability Density Function |

Exploring Binomial Pdf And Cdf |
Shape Center And Spread Of The Binomial Distribution |
Normal Approximation To The Binomial Distribution |
Introduction To The Geometric Distribution |

Binomial And Geometric Practice |
Variability In Categorical Sampling |
Introduction To Sampling Distributions |
Simulating Sampling Distributions Of Sample Proportions |

Formulas For The Sampling Distributions Of Sample Proportions |
Confidence Interval For A Population Proportion |
Confidence Levels For Confidence Intervals |
Changing The Margin Of Error In Confidence Intervals |

Evaluating Claims With Confidence Intervals |
Drawing Conclusions With Categorical Data |
Introduction To Hypothesis Testing |
Hypothesis Tests For Proportions |

Alternative Hypotheses And Two Tailed Tests |
Types Of Errors In Hypothesis Testing |
Power Of A Test |
The Difference Between Two Proportions |

Two Sample Proportion Hypothesis Tests |
More Proportion Inference |
Chi Squared Inference Procedures |
Introduction To The Chi Squared Distribution |

Chi Squared Goodness Of Fit |
More Applications Of Chi Squared Goodness Of Fit |
Chi Squared Test For Independence |
Chi Squared Test For Homogeneity Of Proportions |

Practicing And Recognizing Chi Squared Inference Procedures |
Drawing Conclusions With Quantitative Data |
Quantitative Sampling Distributions |
More Sampling Distributions |

The Central Limit Theorem |
Using The Normal Distribution With Means |
Introducing The T Distribution |
Calculating Confidence Intervals For μ |

Z Tests And T Tests For Population Means |
Comparing Means And Identifying Tests |
Paired And Independent Data From Surveys And Experiments |
Paired Inference Procedures |

Tests For The Difference Of Two Means |
Two Sample Mean Inference With Experiments And Two Sample Confidence Intervals |
Inference In Different Situations |
Identifying And Implementing An Appropriate Test |

Inference For Regression |
Sampling Distribution Of The Slope Of The Regression Line |
Inference For The Slope Of The Regression Line |
Transforming Data To Achieve Linearity |

Using Logarithms To Achieve Linearity |
Anova And Beyond! |
Modeling With The Chi Squared Distribution |
Introducing The F Distribution |

One Way Anova |
Sign Test Introduction To Nonparametric Inference |
Moods Median Test |
Javainfo |

Computer Science Curriculum |
Computer Science Java |
Programming |
Object Instantiation |

Passing Parameters |
Coding Tasks |
Solidify |
Programming Exam |

Programming Class |
Java Exam |
Java Class |
Data Abstraction |

Encapsulation |
Inheritance |
Polymorphism |
String Handling |

Collection Framework |
Multithreading |
Exception Handling |
Generics |

Synchronisation |
Data Type |
Pct |
Pre Calculus With Trigonometry (second Edition) |

Packing Your Suitcase Tools For Your Journey |
Finding Functions Using View Tubes |
Transformations Of Parent Graphs |
Basic Inverses And Function Operations |

Transformations Of Arbitrary Graphs |
Programming Introduction And Point Slope Form Of A Line |
Programming Formulas And Experiments |
Solving Non Right Triangles |

Solving Non Right Triangles Continued |
Radian As A Unit Of Measure |
Radians In The Unit Circle |
Finding The Area Under A Curve |

Chapter Opening |
Piecewise Functions And An Intuitive Idea Of Continuity |
Shifting Functions And Periodicity |
Summation And Sigma Notation |

Programming A Sum |
Area Under A Curve Part I |
Area Under A Curve Part Ii |
Area Under A Curve Part Iii |

Shifting Area |
Horizontal And Vertical Stretches |
Inverses |
Logs As Inverse Exponentials |

Graphing Log Functions |
Working Within The Law |
Solving Exponential Functions And Finding Logs With Bases Other Than Ten |
Circular Functions |

Sine And Cosine In The Unit Circle |
Shifts Of Sine And Cosine |
Reciprocal Trig Functions And Pythagorean Identities |
Simplifying Trig Expressions |

Frequency Of Sine And Cosine Graphs |
Working With Trig Identities |
Applications Of Trig Functions |
Sine Here And Have Your Parents Cosine |

Introduction To Limits |
View Tube With A Twist |
Simplifying Rational Functions And Identifying Them As Shifts |
Graphing Reciprocals Of Functions |

A Different Approach To Limits |
More On Limits |
Piecewise Functions And Limits |
Chapter Closure |

Solving Trig Equations |
Inverse Sine And Cosine Solutions My Calculator Never Told Me |
Putting All Of The Transformations Together |
Angle Sum And Difference Formulas |

Double Angle Formulas |
Solving More Complex Trig Equations |
Algebra For College Mathematics Problem Solving 101 |
Describing Functions |

Describing Functions Continued |
Make Your Life Easier By Decomposing Functions |
Binomial Expansion From Pascals Triangle |
Easy Ways To Add Special Series |

Limit Of Rational Functions |
Surprising Rational Functions |
Putting The Squeeze On π |
Applications Of E |

The Sum Of The Harmonic Series |
The Fibonacci Sequence |
Proof By Induction |
More Rates Of Change From Data |

Slopes And Rates Of Change |
Secant And Tangent Lines |
Vectors And Parametric Equations |
Working With Vectors |

Introduction To Parametric Equations |
Graphing Parametric Equations Using A Calculator |
Applications Of Parametric Equations |
Polar Equations And Complex Numbers |

Plotting Polar Coordinates By Hand |
Rotating Polar Curves |
A Polar Exploration |
Linear Transformations Applications Of Matrices |

Basic Operations Using Matrices |
Using Matrix Equations To Solve Systems |
Applications Of Matrices |
Using Matrices To Complete Linear Transformations |

Composition Of Transformations |
Properties Of Transformations |
Conic Sections Readiness For College Math Text |
Circles |

Second Degree Equations |
Calc |
Calculus Second Edition |
Piecewise Functions And Continuity |

End Behavior And Horizontal Asymptotes |
Area Under The Curve Using Trapezoids |
Methods To Easily Calculate Area |
Area Under The Curve As A Riemann Sum |

Curve Constructor Part I |
The First And Second Derivative Tests |
Curve Constructor Part Ii |
Numerical Cases Of Definite Integrals |

Fast Times Parts 1 And 2 |
Fast Times Parts 3 And 4 |
Fast Times Part 5 |
Multiple Methods For Finding Area Between Curves |

Optimization And Derivative Tools |
Using The 1st And 2nd Derivatives |
Applying The 1st And 2nd Derivative Test |
Chain Rule And Application Part I |

Chain Rule And Application Part Ii |
Quotient Rule Two Proofs |
More Trigonometric Derivatives Tan X Cot X Sec X And Csc X |
Optimization Problems Part I |

Optimization Problems Part Ii |
Optimization Problems Part Iii |
Finding Limits Of Indeterminate Forms |
Using Lhôpitals Rulei |

More Derivative Tools |
Inverse Trigonometric Derivatives The Formulas |
The Mean Value Theorem |
Related Rates Application The Pythagorean Theorem |

Related Rates Application Similar Right Triangle |
Related Rates Application Choosing The Best Formula |
Related Rates Application Trigonometry |
The Soda Lab Newtons Law Of Cooling |

Slope Fields With Non Parallel Tangents |
Revolving The Same Region About Various Lines |
Mixture Of Disk And Washer Problems |
Using An Appropriate Method To Find Volume |

Cross Sections Lab General Case |
Cross Section Problems |
Parametric Equations Using A Graphing Calculator |
Polar Graphs |

Polar Curves Using A Graphing Calculator |
Divergence Test |
Alternating Series Test |
Integral Test For Convergence |

P Series Test For Convergence |
Direct Comparison Test For Convergence |
Limit Comparison Test For Convergence |
Ration Test For Convergence |

Catching Cooties Lab |
Polar And Parametric Equations |
Velocity Vectors And Slope |
Acceleration Vectors |

Slope Of A Tangent Vector |
Arclength Of Parametric Curves |
Derivative Of Polar Curves |
Constructing Maclaurin Polynomials |

Constructing Taylor Polynomials |
Substitution With Taylor Polynomials |
Error Of Taylor Polynomials |
Error Formula |

Interval Of Convergence For Taylor Series |
Indeterminate Forms Using Taylor Series |
Pc3 |
Apcalc |

Pc |