Learning Math with Graphing Calculator Tim Erickson's activity book will help you explore how you (and your students, if you're a teacher) can learn about mathematics using our software. This combines the material from Learning Math with Graphing Calculator 1.3: Investigating Symbols, Functions, and Graphs and Learning Graphing Calculator 3.0 If you have ordered Graphing Calculator version 3.2, this book is already installed in the Graphing Calculator folder on your hard disk and you do not need to download it from here.It will be easier for you to read your local copy. View LearningMath.pdf. If your browser has the Adobe Acrobat plug-in, you can preview the book within your web browser. Download LearningMath.pdf.zip. Use this link to download the book to your disk. You will need Stuffit Expander or a Zip utility to uncompress this. You will need Adobe Acrobat Reader 4.0, which is freely available at www.adobe.com if you don't already have it. Table of Contents Introduction What version do you have? How do you learn The Basics of Graphing Calculator Anatomy of the Graphing Calculator Window How do I zoom the graph in or out? How do I see other parts of the graph? How do I save my work? What if I need help? Using the Math Window How do I enter an equation? How do I select? What do I need to know about entering formulas Are there other ways to enter math stuff? How do I do fractions? How do I make exponents? Can I use Graphing Calculator as a calculator? What about simple algebra? Can I multiply out two parenthetical expressions? What about plain old arithmetic? How do I get more (or fewer) significant figures? How do I isolate a term? Can I do trig functions? Graphing How do I make a graph? How do I see different values for my parameters? Can I graph more than one function? Can I trace functions? Do I have to use x and y - and n - or can I use other letters? What should I know about constants and parameters? Graphing in Two Dimensions Polar coordinates Inequalities Transformations Translations, dilations, and y = mx + b Dilations: stretching, squishing, and flipping Putting transformations together Once more, with waves Choosing a parametrization Translations, the minus sign, and symmetry The difference between horizontal and vertical Exponentials Adding functions part I Adding functions part II Difference functions Fourier series Multiplying functions: envelopes Reciprocals of functions Inverse functions Functions of functions: composition Surfaces in 3D Basic 3D drawing in Graphing Calculator How to tell which axis is which Cool ways to slow down your computer A family of graphs at a glance Surfaces as genuine functions of two variables Surfaces of revolution Polar coordinates and surfaces Slicing 3D surfaces Conic sections - using cones! More general 3D surfaces Exploring Parametric Equations Remind me about parametric equations Making parametric curves in Graphing Calculator Lissajous fun Parametric equations without trig functions Making a spring: 3D parametric curves Parametric Surfaces Making the torus Adding lines for understanding Changing the donut into a double helix Fancy Stuff Coloring Conditions If statements Summations Functions Symbolic calculus The difference between total and partial derivatives Ordinary differential equations Integrals Signum: a useful function to know about Vector fields But wait! There's more! Solving Problems with Graphing Calculator Word problems: the big picture What symbol manipulation is for Dimensional analysis Using substitution Figuring average speed More about symbol manipulation Two extended examples Amanda's shadow investigation Proportion problems Maximum-minimum problems Simultaneous equations Equilibrium, titration, and logarithmic axes Orbital mechanics Solutions   NuCalc 1.0 Activity Book Tim Erickson's Introducing Dynamic Algebra with NuCalc book is built around the theme of transformations and composition of functions. It helps students analyze plots of functions and determine how to build them from the basic polynomial, exponential, and trigonometric functions. It is based on version 1.0 of our software. This book was published by Key Curriculum Press but is now out of print.
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