Course ePortfolio
Calculus 101
Course: Beginning Calculus
Prerequisites
Math placement exam; completion of high school algebra and trigonometry
Pedagogical Approach & Learning Outcomes
Pedagogical Approach
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
Other Information
None
Course Resources

Numerical Integration Rules (Simulation)Limited functionality, but very clear depiction of integration and the error involved with different integration... More

Numerical integration simulation (Simulation)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

Mathematical Visualization Toolkit (Simulation)This site consists of a collection of plotting and solving applets featuring a uniform user interface. This site was... More

Numerical Integration Applet (Animation)This applet provides a visual representation of various techniques of numerical integration including left rectangle,... More

Gallery of Volume Visualizations (Animation)This is an extensive gallery of colorful visualizations for disk, washer, shell and crosssection methods of finding... More

Partial Derivative Geometrically Gallery (Animation)This is a great collection of animations of partial derivatives and the slope of the tangent lines. A series of... More


Visual Calculus: Applications of Integration (Tutorial)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