Wolfram Research
Wolfram Math World: Calculus and Analysis
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
Texas Instruments
Texas Instruments: Differential Equations on the Ti 92 Plus
This activity acquaints students with the features and capabilities of the calculator that are used to study concepts related to differential equations. Students graph and solve a range of differential equation problems.
Texas Instruments
Texas Instruments: Introduction to Slope Fields
In this activity, students learn what a slope field represents in terms of dy/dx. Students create a slope field for a given differential equation
Texas Instruments
Texas Instruments: Hot Coffee
This activity is an application of differential equations and slope fields. Students first go through the traditional paper and pencil method of solving a differential equation. (Continued. See "before the activity.")
Texas Instruments
Texas Instruments: Differential Equations
In this activity, students analyze first order, second order, and autonomous systems of two first order differential equations.
Texas Instruments
Texas Instruments: Biological Models With Differential Equations
In this activity, students explore several models representing the growth (or decline) of a biological population. They study models of a single population that have a closed-form solution, and models of several interacting populations...
Texas Instruments
Texas Instruments: Logistic Growth, Differential Equations, Slope Fields
In this Computer Algebra System (CAS) activity, students investigate differential equations analytically, graphically and numerically and see relationships between the three approaches.
Texas Instruments
Texas Instruments: Differential Equations and Slope Fields Activity 7
In this activity, students investigate the use of the differential equation graphing mode to solve various differential equations. They learn and explore to use numerical and graphical methods for solving various differential equations.
Texas Instruments
Texas Instruments: Recovering a Function From Its Derivative
In this activity, students use the calculator to visualize a function using the equation describing its derivative and a single point on the function. They start with simple equations and later solve more complex and difficult...
Texas Instruments
Texas Instruments: Solving Differential Equations Using Euler
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Texas Instruments
Texas Instruments: Using Slope Fields
In this activity, students identify whether a slope field approximately reflects a differential equation. They also determine whether a potential solution fits the slope field.
Texas Instruments
Texas Instruments: Approximate Solutions: Differential Equations
The base of the natural logarithm function, is called Euler's number, in honor of Leonhard Euler, a great Swiss mathematician. (Continued. See "before the activity.")
Texas Instruments
Texas Instruments: Spread of Disease With Differential Equations
In this activity, Students can use the graphing calculator to solve a differential equation. The resulting function is a logistic curve that gives the number of people infected with the flu "t" days after winter break.
Texas Instruments
Texas Instruments: Harmonic Motion
In this activity, students learn about the differential equations used to model the simple harmonic motion of a block attached to a spring. They study the effect of air resistance on the motion and create an animation to describe its...
Texas Instruments
Texas Instruments: Slope Fields and Euler's Method for Ap Calculus
In this activity students use Computer Algebra System (CAS) to solve differential equations using Euler's method, Runge Kutta method, and other built-in methods.
Texas Instruments
Texas Instruments: Numerical Methods and Series
In this activity, students take a closer look at numerical methods used to solve initial-value differential equations, including the methods used internally by the calculator. They also learn to solve numerical computations for the...
Texas Instruments
Texas Instruments: Nonlinear Pendulum Problems
In this activity, students explore the nonlinear model for a simple pendulum. They use the calculator to solve higher order differential equations.
Math Medics
S.o.s. Math: Differential Equations/population Dynamics
This math lesson shows how population growth can be determined by using differential equations.
Math Medics
S.o.s. Math: Differential Equations Newton's Law of Cooling
This math lesson shows how differential equations apply to Newton's Law of Cooling.
Other
Humboldt State University: Natural Logarithm
Wonderful natural logarithm site from the Humboldt State University with example problems.
Paul Dawkins
Paul's Online Notes: Differential Equations
The tutorial explores differential equations. Topics examined are first order differential equations, second order differential equations, Laplace transforms, Fourier series, higher order differential equations, and systems of...
Analyze Math
Analyze Math: Applications of Differential Equations
Scholars examine applications of differential equations. Examples explore how differential equations are used to model population, Newton's law of cooling, and engineering systems.
Analyze Math
Analyze Math: Solve Second Order Differential Equations Part 3
The tutorial explores second order differential equations. Topics investigated are complex solutions and how to solve second order differential equations. The resource includes examples with detailed solutions.
Analyze Math
Analyze Math: Solve Second Order Differential Equations Part 2
The tutorial examines second order differential equations. Topics investigated are real solutions, auxiliary equations, and how to solve second order differential equations. The resource includes examples with detailed solutions.