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Mathematics Archives

Math Archives: L'hospital's Rule

For Students 9th - 10th
On this site the student can work the problems then check the solution online
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Handout
Other

Sierra College: Summary of Tests for Series

For Students 9th - 10th
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Area Under the Curve

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
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Graphic
University of Minnesota

University of Minnesota: Calculus Graphics: Limits

For Students 9th - 10th
This page offers visual aids to understand the existence of a limit to a function. The site briefly discusses left and right-hand limits.
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Interactive
Interactive Mathematics

Interactive Mathematics: Differentiation

For Students 9th - 10th
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....
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Unit Plan
Khan Academy

Khan Academy: Continuity at a Point (Graphical)

For Students 10th - 12th
Practice continuity at a point.
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Activity
Oregon State University

Calculus Quest: Jump Discontinuities

For Students 9th - 10th
This site defines jump discontinuities with graphs of functions to clarify.
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Graphic
Curated OER

S.o.s. Math: Sequences Limits

For Students 9th - 10th
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.
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Graphic
Curated OER

S.o.s. Math: Sequences Limits

For Students 9th - 10th
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.
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Graphic
Curated OER

S.o.s. Math: Sequences Limits

For Students 9th - 10th
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.
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Activity
Texas Instruments

Texas Instruments: Piecewise Functions: Continuous Differentiable

For Teachers 9th - 10th
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
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Activity
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
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.
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Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
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...
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Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Trig Limits

For Students 9th - 10th
The tutorial investigates the squeeze theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are available in pdf format.
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Activity
University of Toronto (Canada)

U. Of Toronto: Does the Number E Have Real Physical Meaning?

For Students 9th - 10th
This site explains why the number e does have meaning outside of its purely mathematical applications. Gives an example of this using compound interest. Also explains the number e as a limit and its role in calculus.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Instantaneous Rates of Change

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between average rate of change and instantaneous rate of change. Students examine guided notes, review guided practice,...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Derivatives of Sums and Differences

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of binomials (sums and differences), and multiples of binomials (Product Rule). Students examine guided notes,...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Intermediate Value Theorem

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...
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Graphic
Curated OER

Tex2html Wrap Inline223

For Students 9th - 10th
This lesson gives a continuation of the information about sequence limits presented in the S.O.S. Math "Sequences: Limits" section. It gives some additional properties and examples.
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Graphic
Curated OER

Displaymath225

For Students 9th - 10th
This lesson gives a continuation of the information about sequence limits presented in the S.O.S. Math "Sequences: Limits" section. It gives some additional properties and examples.
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Graphic
Curated OER

Displaymath261

For Students 9th - 10th
This lesson gives a continuation of the information about sequence limits presented in the S.O.S. Math "Sequences: Limits" section. It gives some additional properties and examples.
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Graphic
Curated OER

Displaymath391

For Students 9th - 10th
This lesson gives a continuation of the information about sequence limits presented in the S.O.S. Math "Sequences: Limits" section. It gives some additional properties and examples.
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Graphic
Curated OER

Tex2html Wrap Inline421

For Students 9th - 10th
This lesson gives a continuation of the information about sequence limits presented in the S.O.S. Math "Sequences: Limits" section. It gives some additional properties and examples.
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Graphic
Curated OER

Displaymath243

For Students 9th - 10th
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.

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