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.
Mathematics Archives
Math Archives: Visual Calculus: Definition of Limits
This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.
Math Open Reference
Math Open Reference: Limits: An Informal Overview
Gain an understanding of limits with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Limits [Pdf]
Students sketch the graph of the derivative and examine the limits of a given function. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Limits [Pdf]
Students use the graph of a function to sketch the derivative and estimate limits. The example is available in PDF format.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Continuidad De Funciones
In this interactive unit you will be able to understand the concept of continuity, determine whether a function is continuous from its graph and to distinguish the different types of discontinuities both graphically and analytical.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Asintotas
In this unit you will learn to calculate the limits of a function and the equations of the vertical, horizontal and oblique asymptotes from its graph.
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...
Texas Instruments
Texas Instruments: The Calcumites Are Coming! Ti 83
Students model the growth of a population and compare ideal growth with a population whose growth is limited. They use technology to find exponential and logistic regression equations and use them to plot models.
Alabama Learning Exchange
Alex: Know Your Limits
The limit is the fundamental notion of calculus. This underlying concept is the thread that binds together virtually all of the calculus studied by the student. In this lesson, the student's knowledge of limits will be extended using...
Other
Presidential Power and Limitations
This site has links to information about almost everything that the president can and cannot do while in office.
Math Open Reference
Math Open Reference: A Formal View of Limits
Explore the triangle inequality theorem with this helpful reference tool. Provides a detailed definition and an interactive activity that enhances further explanation. Includes links to related topics.
Texas Instruments
Texas Instruments: Is There a Limit?
In this activity, students examine data about bacteria and their growth. They produce a scatter plot, a best-fit model, and draw conclusions based on the data and graph.
Other
Desmos: Modeling Bundle
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
Math Medics
S.o.s. Math: The Derivative
This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.
CK-12 Foundation
Ck 12: Analysis: Linear and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Modeling of Linear and Quadratic Functions
Other
Epsilon Delta
Students learn about the formal definition of the limit. A definition, proof, and examples with solutions are included.
University of Minnesota
University of Minnesota: Calculus Graphics: Limits
This page offers visual aids to understand the existence of a limit to a function. The site briefly discusses left and right-hand limits.
Interactive Mathematics
Interactive Mathematics: Differentiation
Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Wolfram Research
Wolfram Math World: Calculus
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Asintotas
This interactive unit shows you the relationship between functions and their graphs. You can practice how to calculate the limit of the function as x approaches plus or minus infinity.
Other
Fairchild Tropical Botanic Garden: What Are Adaptations [Pdf]
This pdf presents a thorough examination of plant adaptations with emphasis on different types of functional and reproductive adaptations.
Paul Dawkins
Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems
This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.