# Course ePortfolio

## Calculus 101

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
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### Prerequisites

Math placement exam; completion of high school algebra and trigonometry

### Pedagogical Approach & Learning Outcomes

None

#### Learning 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.

### Assessment & Other Information

#### Assessment

Problem completion

None

### Course Resources

• Limited functionality, but very clear depiction of integration and the error involved with different integration... More
• This applet provides a visual representation of various techniques of numerical integration including right rectangle,... More
• Riemann Sums (Simulation)
Numerical integration methods include left rectangle, right rectangle, midpoint, Simpsons, and trapezoidal. The user has... More
• This site consists of a collection of plotting and solving applets featuring a uniform user interface. This site was... More
• This applet provides a visual representation of various techniques of numerical integration including left rectangle,... More
• This is an extensive gallery of colorful visualizations for disk, washer, shell and cross-section methods of finding... More
• This is a great collection of animations of partial derivatives and the slope of the tangent lines. A series of... More
• Volumes (Tutorial)
This is a collection of tutorials (Flash and Java) on various applications of integration including area between two... More
• This site is a collection of tutorials (Flash and Java) on various applications of integration including area between... More
• This site is a collection of tutorials (Flash and Java) on the concept of Work including Hooke's Law, pumping liquids... More