## Course ePortfolio: Calculus 101

Course ePortfolio Description:

These are resources that can be used for a college calculus course. The subject in this first course is differential calculus. Beginning with functions and limits, this course includes techniques and applications of differentiation, indefinite and definite integrals and applications of integration. Topics include functions, limits, continuity, differentiation of algebraic and trigonometric functions, mean value theorem, and applications of derivatives.
A suggested textbook would be "Calculus" by Howard Anton, Sixth Edition, Vol. 1, Wiley

Course: Beginning Calculus

Course: Beginning Calculus

Date Added to MERLOT:
September 30, 2009

Created by:
MERLOT Adminstrative Team

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Select to close Course ePortfolio pedagogical approach and outcomes

### Pedagogical Approach & Learning Outcomes

Pedagogical Approach:
Various

Outcomes:
1 To master algebraic topics introduced in precalculus and trigonometry.
2. To understand limits and investigate some of their basic properties.
3. To understand the basic relationship between tangent lines, rates of change,
and the derivative.
4. To master the techniques of differentiation.
5. To become familiar with the standard applications of the derivative in physics,
engineering, biology, chemistry, and economics.
6. To become familiar with parts of the theoretical framework that are appropriate
at this level.
7. To understand the integral and its relation to the derivative.
8. To master techniques of integration for simple integrals.
9. To learn how to use a graphing calculator.

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### Course Resources

Delete the item Numerical Integration Rules from this Course ePortfolio

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1.

(Simulation)

Limited functionality, but very clear depiction of integration and the error involved with...
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2.

(Simulation)

This applet provides a visual representation of various techniques of numerical...
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Delete the item Riemann Sums from this Course ePortfolio

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3.

(Simulation)

Numerical integration methods include left rectangle, right rectangle, midpoint, Simpsons,...
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Delete the item Mathematical Visualization Toolkit from this Course ePortfolio

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4.

(Simulation)

This site consists of a collection of plotting and solving applets featuring a uniform...
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(Animation)

This applet provides a visual representation of various techniques of numerical...
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Delete the item Gallery of Volume Visualizations from this Course ePortfolio

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(Animation)

This is an extensive gallery of colorful visualizations for disk, washer, shell and...
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Delete the item Partial Derivative Geometrically Gallery from this Course ePortfolio

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7.

(Animation)

This is a great collection of animations of partial derivatives and the slope of the...
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Delete the item Volumes from this Course ePortfolio

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8.

(Tutorial)

This is a collection of tutorials (Flash and Java) on various applications of integration...
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Delete the item Visual Calculus: Applications of Integration from this Course ePortfolio

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9.

(Tutorial)

This site is a collection of tutorials (Flash and Java) on various applications of...
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Delete the item Visual Calculus: Applications of Integration-Work from this Course ePortfolio

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10.

(Tutorial)

This site is a collection of tutorials (Flash and Java) on the concept of Work including...
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Delete the item Animations (for freshman and sophomore calculus and differential equations) from this Course ePortfolio

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11.

(Animation)

This is a collection of over three dozen animations of standard calculus and differential...
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