Workshop Calculus with Graphing Calculators Guided Exploration with Review Volume 1 /
TO THE INSTRUCTOR I hear, I forget. I see, I remember. I do, I understand. Anonymous OBJECTIVES OF WORKSHOP CALCULUS 1. Impel students to be active learners. 2. Help students to develop confidence about their ability to think about and do mathematics. 3. Encourage students to read, write, and discus...
| Κύριοι συγγραφείς: | , |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York,
1999.
|
| Σειρά: | Textbooks in Mathematical Sciences,
|
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Functions
- Relating Position and Time
- Describing a Process for Finding the Position at a Given Time
- Using the Concept of Function to Buy Pizza
- Creating Linear Functions
- Examining Piecewise-Linear Functions
- Developing an Intuitive Understanding of a Tangent Line to a Curve
- Investigating the Behavior of the Tangent Line near a Turning Point
- Contemplating Concavity
- Interpreting Sign Charts
- Function Construction
- Becoming Familiar with Your Calculator
- Implementing Functions Using Expressions
- Representing Functions by Graphs
- Constructing Discrete Functions
- Evaluating Combinations of Functions
- Combining Functions
- Composing Functions
- Sketching Reflections
- Representing Reflections by Expression
- Investigating Inverse Functions
- Function Classes
- Examining Polynomial Functions
- Analyzing Rational Functions
- Using Your Calculator to Investigate the Behavior of Polynomial and Rational Functions
- Measuring Angles
- Graphing Basic Trigonometric Functions
- Stretching and Shrinking the Sine Function
- Shifting the Sine Function
- Modeling Situations Using Exponential Functions
- Comparing Exponential Functions
- Investigating the Relationship Between Exponential and Logarithmic Functions
- Evaluating and Graphing Log Functions
- Modeling Data
- Limits
- Constructing Sequences of Numbers
- Analyzing the Limiting Behavior of Functions
- Approximating Limits Using a Graphing Calculator
- Examining Situations Where the Limit Does Not Exist
- Inspecting Points of Discontinuity
- Identifying Continuous Functions
- Calculating Limits Using Substitution
- Using Limits to Investigate Functions
- Using Limits to Locate Horizontal Asymptotes
- Derivatives and Integrals: First Pass
- Examining an Example
- Discovering a Definition for the Derivative
- Representing a Derivative by an Expression
- Inspecting the Domain of a Derivative
- Investigating the Relationship Between a Function and Its Derivative
- Gleaning Information About the Graph of a Function from Its Derivative
- Finding Some Areas
- Describing Some Possible Approaches
- Applying a Rectangular Approach
- Considering the General Situation
- Calculating Riemann Sums
- Interpreting Definite Integrals
- Checking the Connection Between Derivatives and Definite Integrals.
