It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

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.

Visual Calculus offers a discussion and exercises regarding the limit comparison test.

Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.

This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.

This is a detailed site concerning tangent lines to curves. The site gives the limiting definition of the slope of the tangent. This site has a link to a discussion and animation of the approaching secant line, a java applet for the...

A detailed lesson explaining the uniqueness of a convergent sequence. Explains what happens when a sequence is bounded. Gives properties of sequences with limits.

In this Computer Algebra System (CAS) activity, students will explore the concept of limits of functions, and use CAS to demonstrate the definition of derivative.

Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.

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...

This activity allows the student to understand limits using both graphical and tabular methods.

The tutorial investigates numerical and graphical approaches to calculating the limit of a function. Examples with detailed solutions are included.

In this activity, students learn to solve problems dealing with limits, derivatives, and optimization. They use various features of the TI-86 to study some important ideas covered in a differential calculus course.

Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...

This lesson discusses important limits of particular sequences that can be very "useful in many branches of science." Includes good proofs.

The resource gives students a preview of topics learned in Calculus. Concepts included are graphs, speed, and integration. Graphs, tables, and an interactive applet are used to investigate the examples.

Here is a site that clearly and thoroughly explains the concept of infinite limits. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...

In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...

Here is a site that clearly and thoroughly explains the limit definition of the transcendental number e. There are several different approaches used to find the value. Point this site out to students who have been absent or who need...

In this activity, students use various features of the calculator to investigate some of the fundamental concepts of integral calculus. They study Riemann Sums and explore limitations of numerical integration.

Read about the near-simultaneous discovery of Calculus by Liebniz and Newton, then see some examples worked through of finding derivatives of functions using the limit definition of derivative. Following the examples are exercises with...

Students learn about two trigonometric limits. The resource consists of two proofs and diagrams.

Definition of greatest integer function. Includes a visualization animation that requires LiveMath Notebook plugin.

Find out how to determine if a limit exists and what its value is. This site contains an interactive limit finding exercise of a particular graph. Be sure to continue to the next page by following the small blue arrow under the exercise...