This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...

Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...

Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.

Students investigate the fundamental theorem of calculus. In this calculus lesson plan, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.

Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.

You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...

Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...

Students solve the area of a cross section. In this calculus instructional activity, students solve areas rotated and bounded by two functions. They solve using the washer method.

Students create models of the Mean Value Theorem.  In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the throrem,...

Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.

Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...

Learners graph the derivative of functions in this calculus lesson. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.

Learners identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.

Learners investigate the intervals represented by a function in this calculus lesson plan. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.

Students calculate the area under a curve. In this calculus lesson plan, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.

High schoolers graph Taylor polynomials. In this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.

In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.

Students graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.

Learners calculate the position, distance and velocity using functions in this calculus lesson. They investigate horizontal motion through the derivative of functions and use the TI to create a visual of their function.

Student approximate the roots of E using Newtons Method. For this calculus lesson, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.

Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.

Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.

Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.

Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, students create a visual of what is happening with the equation.