Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Procedimiento Para Analizar Una Funcion
Use this unit to learn and practice the general procedure for representing curves in the form y=f(x). It provides a more advanced look at polynomial and rational functions with interactive graphs.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas. Aplicaciones. Optimizacion.
In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas Laterales
This interactive unit is intended to show by graphing and calculations, the elements involved in the study of the growth of a functions and its relation to the definition of derivative.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Continuidad De Funciones
In Spanish. In this interactive unit you will be able to tell if a function is continuous from its graph, understand the concept of continuity of functions and to distinguish between the different types of discontinuities either...
Other
Continuity
Students learn about continuity. Topics include discontinuities, one-sided limits, and the intermediate value theorem. Definitions and examples with solutions are included.
Texas Instruments
Texas Instruments: Limits and Continuity
These questions address the topics of limits, continuity, and discontinuity.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits and Continuity
The resource investigates limits and continuity. Topics examined are left and right limits. Students learn about the calculus concepts through notes and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits and Continuity: Algebraic Approach
The resource investigates limits and continuity using an algebraic approach. Topics examined are closed-form functions and evaluating a limit using simplification. Students learn about the calculus concepts through notes and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Limits and Continuity
The topic summary outlines limits and continuity. Some topics reviewed are limits numerically, limits geometrically, limits algebraically, and continuous functions. The resource consists of definitions, notes, and examples.
Paul Dawkins
Paul's Online Notes: Calculus I: Limits
Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Limit Properties
The tutorial proves some of the basic properties and facts about limits. Topics discussed are limit properties, triangle inequality, continuity, and limits at infinity. Class notes, definitions, and examples with detailed solutions are...
Analyze Math
Analyze Math: Continuous Functions
The tutorial discusses continuous functions. Definitions and examples with detailed solutions are included.
Other
Calculus help.com: Tutorials for the Calculus Phobe
A dozen interactive tutorials are what help make the basics of calculus more clear for those students who need additional explanation. Clear directions, simple examples, and interesting graphics are all part of this resource.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Continuous Versus Discrete
Here is a site that clearly and thoroughly explains the the notion that calculus is the study of continuity. This page is mostly discussion of the difference between a continuous quantity and a discrete quantity. Point this site out to...
Science Struck
Science Struck: How Do Optical Illusions Work?
Learn how the eyes play tricks on us when we look at optical illusions. This resource explains many of the techniques used to challenge our visual perception.
Paul Dawkins
Paul's Online Notes: Continuity: Practice Problems
Practice exercise reviews the concept of continuity and how it relates to limits. Also, provides practice with the use of the Intermediate Value Theorem.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Continuous Functions
Here is a site that clearly and thoroughly explains continuous functions and what it means for a function to be continuous. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Math Medics
S.o.s. Math: Continuity
This tutorial gives students a basic review of continuity with definitions and examples. Contains practice problems with links to the answers.
Other
Introductory Sociology: Culture
This page from the Del Mar College is an excellent outline of the topic; it provides a basic definition of the term, culture, as well as significant topics and a bibliography.
Interactive Mathematics
Interactive Mathematics: Limits
Beginning with a discussion on continuity, this site introduces the concept of limits. Several examples are presented, some of which allow you to work the problem yourself before seeing the problem. Graphs are included on several of the...
Math Open Reference
Math Open Reference: Continuity: A Formal Approach
Learn about continuity with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Massachusetts Institute of Technology
Mit: Open Course Ware: Differentiability and Continuity
The activity investigates differentiability and continuity. The resource consists of online textbook chapters and exam questions with solutions on non-differentiable behavior. All documents were created from scanned original files and...
Math Graphs
Houghton Mifflin: Math Graphs: Derivative of a Graph [Pdf]
Learners examine the derivative of a graph and the relationship between the derivative and the original function. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Continuity 1 [Pdf]
Learners are given two parts of the graph of a continuous differentiable function and examine the zeros, conditions of continuity, and a sketch of the derivative. The graph is available in PDF format.