Differential Equations Teacher Resources
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Curated OER
Integrals
In this integrals worksheet, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals by using substitution. Then, students solve each of the given differential equations when given the...
Curated OER
Integrals
In this integrals worksheet, learners solve and complete 22 various types of problems. First, they evaluate each of the listed integrals on the sheet. Then, students solve each of the given differential equations by substituting the...
Curated OER
Condensing Section 4.1
In this differential equations worksheet, students solve three sets of questions. The first section is titled "Existence and Uniqueness." The second section is titled "Linear Independence and Dependence," and the third section is about...
College Board
AP Calculus: Slope Fields
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...
College Board
Calculus at the Battle of Trafalgar
All's fair in math and war. Scholars examine the Battle of Trafalgar using calculus. They set up and solve a system of differential equations to determine the number of ships remaining in each fleet over time.
Curated OER
Differential Equations
Young scholars solve derivatives of differential equations. In this calculus lesson, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
Curated OER
Differentiation Computations
In this calculus learning exercise, 11th graders solve problems using differential equations and computations. They apply properties of trig functions and simplify their answers. There are 9 questions.
Curated OER
A.P. Calculus Integration Test
In this A.P. Calculus learning exercise, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while...
Flipped Math
Calculus AB/BC - General Solutions Using Separation of Variables
Viewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
College Board
2003 AP® Calculus AB Free-Response Questions
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...
College Board
2005 AP® Calculus AB Free-Response Questions Form B
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
College Board
2010 AP® Calculus AB Free-Response Questions Form B
Most say that practice makes perfect. Scholars use the released free-response questions to practice for the AP® Calculus AB exam. Each question comes with several parts and either do or do not allow calculators. Items include topics such...
Flipped Math
Calculus AB/BC - Exploring Behaviors of Implicit Relations
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
College Board
2003 AP® Calculus AB Free-Response Questions Form B
Get a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...
College Board
2012 AP® Calculus BC Free-Response Questions
Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...
College Board
2007 AP® Calculus AB Free-Response Questions Form B
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
College Board
2010 AP® Calculus BC Free-Response Questions
What do a zoo, snow, and a moving particle have in common? The six free-response items from the 2010 AP® Calculus BC exam allow teachers and pupils see how items may show up in context. Three of the questions are from only the BC portion...
Flipped Math
Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
Curated OER
Worksheet 1
In this math worksheet, students describe the difference between a partial and an ordinary differential equation. They give examples of 1st, 2nd, and 3rd order differential equations. Students apply this information to predator/prey...
Curated OER
Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
Curated OER
Calculus Test
In this calculus worksheet, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
Curated OER
Worksheet 8
In this math learning exercise, students explore how the use of implicit differentiation does not give the solutions to the differential equation. Then they write the definitions to the vocabulary related to differential equations.