On-Line Resources for Math 13C:
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Text for the Course: Waner & Costenoble: Applied Calculus (2nd Edition) |
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Additional On-Line Text for Topic 1 |
| New Functions from Old: Scaled and Shifted Functions |
| Fitting Functions to Data: Linear and Exponential Regression |
On-Line Textbook Resources for Topic 1 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
On-Line and Excel Math Tools for Topic 1 |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher |
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Topic 2: Non-Linear Functions and Models
Quadratic, exponential, logarithmic, and trigonometric functions and models (Based on Chapter 2 of the textbook) |
Additional On-Line Text for Topic 2 |
| Using and Deriving Algebraic Properties of Logarithms |
| Trigonometric Functions and Calculus |
On-Line Textbook Resources for Topic 2 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
On-Line and Excel Math Tools for Topic 2 |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher |
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Topic 3: The Mathematics of Change
Average and instantaneous rates of change (the derivative) from the numerical and graphical points of view; marginal analysis (Based on Chapter 3 of the textbook) |
On-Line Tutorials for Topic 3 |
| Average Rates of Change |
| Instantaneous Rates of Change from the Numerical Point of View |
| Instantaneous Rates of Change from the Geometric Point of View |
Additional On-Line Text for Topic 3 |
| Sketching the Graph of the Derivative |
On-Line Textbook Resources for Topic 3 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
On-Line and Excel Math Tools for Topic 3 |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Download Free Mac Grapher |
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Topic 4: Applications of the Mathematics of Change
Linear and non-linear unconstrained and constrained optimization through spreadsheet technology, acceleration, elasticiy of demand (Based on Chapter 5 and additional material) |
On-Line Textbook Resources for Topic 4 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
On-Line and Excel Math Tools for Topic 4 |
| Linear Programming Grapher | Simplex Method Tool | Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Free Mac Grapher |
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Topic 5: Summation: The Integral
The definitie integral from the numerical and graphical points of view; computation of total change from rate of change (Based on Chapters 6 of the textbook) |
Additional On-Line Text for Topic 5 |
| Numerical Integration |
| You're the Expert--Wage Inflation |
On-Line Textbook Resources for Topic 5 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
On-Line and Excel Math Tools for Topic 5 |
| Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher |
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Topic 6: Applications of the Integral
Computation of areas between curves, consumers' and producers' surplus, averages and moving averages, continuous income streams (Based on Chapters 7 of the textbook) |
On-Line Textbook Resources for Topic 7 |
| Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials |
On-Line and Excel Math Tools for Topic 5 |
| Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher |
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Topic 7: Modeling with Several Variables
Functions of several variables from the numerical and algebraic viewpoints, three dimensional space and the graph of a function of two variables, multiple regression, partial derivatives from the numerical viewpoint, maxima and minima, constrained maxima and minima (Based on Chapters 8 of the textbook) |
On-Line Textbook Resources for Topic 7 |
| Chapter Summary | Chapter True/False Quiz |
On-Line and Excel Math Tools for Topic 7 |
| Surface Graphing Utility | Excel Surface Graphing Utility | Linear Multiple Regression Utility |