- Limits - Numerical
- Tutorial which is an introduction to limits from a numerical point of view.
- Limits - Graphically
- Tutorial which is an introduction to limits from a graphical point of view.
- A LiveMath notebook to explore graphically the verification of the epsilon-delta definition of limit.
- Using graphing calculators to graphically demonstrate the epsilon-delta definition of limits
[Using Flash]
- Computer programs to graphically demonstrate the epsilon-delta definition of limits. Also,
- Using TI-85 graphing calculators to graphically demonstrate the
epsilon-delta definition of limits.
- Computer programs and the problems that have in graphically investigating
limits. Also,
- Computer program to evaluate limits with the greatest integer function. Also,
- A LiveMath notebook to explore the verification of the epsilon-delta definition of limit.
- Formal Definition of Limits
- Tutorial on the formal definition of limits.
- Drill in finding delta given epsilon.
- Drill in verifying limits using the definition of limits.
- Limits - Symbolically
- Tutorial which is an introduction to limits from a symbolic point of view.
- Continuous Functions
- Tutorial which is an introduction to continuous functions.
- A quiz on using the definition of continuity.
- A LiveMath Notebook on exploring continuity of a piecewise defined function.
- Drill in determining when a piecewise defined function is continuous.
- A LiveMath notebook illustrating the problem of using computers to determine graphically whether a function is continuous.
- Computer programs and problems of using computers to determine graphically whether a function is continuous.
- Graphically exploring functions with possible removable discontinuities
- Properties of Continuous Functions
- Tutorial on the Intermediate Value Theorem, the Bisection Method and the Extreme Value Theorem.
- Javascript page illustrating the bisection method for finding roots.
- Computer programs which numerically illustrate the bisection method.
- Computer programs which graphically illustrate the bisection method.
- A quiz on using concepts involving continuity of functions and its consequences.
- Horizontal Asymptotes
- Tutorial on horizontal asymptotes.
- Javascript generated evidence for horizontal asymptotes.
- Javascript module on numerically determining horizontal asymptotes.
- A LiveMath notebook on graphically determining horizontal asymptotes.
- Drill in finding horizontal asymptotes.
- Computer programs which can be used to gather numerical evidence for horizontal asymptotes. Also,
- Computer programs and problems in gathering numerical evidence for determining horizontal asymptotes. Also,
- Vertical Asymptotes
- Tutorial on vertical asymptotes.