Differential Equations Teacher Resources
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Students solve differential equations. In this differential equations lesson, students use their TI-89 calculator to explore slope fields and find solutions to a differential equation. They graph their solutions.
Twelfth graders explore differential equations. For this calculus lesson, 12th graders explore Euler’s Methods of solving differential equations. Students use the symbolic capacity of the TI-89 to compare Euler’s Method of numeric solutions to a graphical solution.
Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a population. Most of the models have a closed-form solutions. Problems and solutions are included.
In this differential equation instructional activity, students solve differential equations and graph solutions. This two-page instructional activity contains 8 multi-step problems.
Students use their TI-89 calculator to compute derivatives and anti-derivatives. In this differential equation lesson, students follow detailed directions to complete one table of derivative/anti-derivative values. They compute the anti-derivative of one equation and find the derivative of one equations.
Twelfth graders solve problems using differential equations. In this Calculus lesson plan, 12th graders analyze data regarding the spread of a flu virus. Students use the symbolic capacity of the TI-89 to develop a model and analyze the spread of the disease.
Students explore how to graph differential equations using a TI calculator. In this math instructional activity, students solve systems of equations using the calculator. Students explore graphing and use it to interpret experimental data.
For this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
Twelfth graders investigate differential equations. In this calculus lesson, 12th graders are presented with a step-by-step illustrated review of the process used in solving differential equations and an application problem. Students solve differential equations and application of differential equations.
Students identify and familiarize themself with the features and capabilities of the TI-92 Plus calculator. They also find symbolic solutions of differential equations and general solutions or to find particular solutions of initial-value and boundary-value problems. Finally, students use TRACE to find numerical values for this phase-plane graph.
In this atmospheric carbon dioxide worksheet, students use two diagrams to solve 6 problems about atmospheric carbon dioxide. One diagram shows the Keeling Curve and the other shows sources of carbon and the natural and anthropogenic flux. Students find sources and sinks of carbon dioxide, they write a differential equation describing the change in carbon dioxide in the atmosphere and they use the Keeling Curve to compare it to their equation for the rate of change.
Twelfth graders investigate slope fields. In this Calculus activity, 12th graders identify whether a slope field appropriately reflects a differential equation by matching. TI-83 Plus/TI-84 Plus and appropriate programs are required to complete the activity.
Students investigate differential equations and slope fields. In this differential equations and slope fields lesson, students determine how much time can pass before a cup of coffee is safe to drink. Students use a differential equation to solve the problem algebraically. Students create a slope field to represent the time at which it is safe to drink the coffee.
Twelfth graders investigate exponential decay. In this Calculus lesson, 12th graders explore Newton’s Law of cooling which can be modeled by a differential equation. Students use the model to solve a murder as they examine the temperature of a body to determine time of death.
Students follow detailed instructions for using their TI-86 graphing calculator to find solutions to differential equations. In this lesson plan, students learn to use their graphing calculator to solve 12 differential equations.
Twelfth graders investigate slope fields and Euler’s Method. In this calculus lesson, 12th graders explore the steps for programming slope fields on the TI-83 and Euler’s method for achieving a numerical solution to differential equations.
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
In this methods of applied mathematics worksheet, students solve 5 various types of problems that relate to variational calculus equations. First, they determine a second order differential equation for the geodesic. Then, students write down Euler Lagrange equations for 2 dependent variables, and then determine a system of first order differential equations describing motion of an object.
In this calculus learning exercise, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.