Curated OER
Worksheet 8
In this math instructional activity, 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.
Curated OER
Worksheet 15 Computer Lab
In this math learning exercise, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.
Curated OER
Worksheet 16
In this math worksheet, students consider a constant coefficient linear second order differential equation. Then they solve the homogeneous equation.
Curated OER
Worksheet 20
In this math learning exercise, they write down and solve a differential equation governing the motion of an underdamped spring. Then they find the solution to the initial value problem.
Curated OER
Worksheet 19
In this math worksheet, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).
Curated OER
Worksheet 9 Practice Test 1
In this math worksheet, students find the solutions to the differential equations. Then they examine the group of equations in order to determine the ones that are linear.
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
Coffee: Differential Equation
In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
Curated OER
Evaporation Pans & Related Rates
Students calculate evaporation rate using differential equations. In this calculus lesson, students explain how pan evaporation works. They complete a worksheet to sum up the lesson.
Curated OER
Slope Fields
Learners sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...
Curated OER
A.P. Exam Review
Students engage in a lesson plan that is concerned with the cumulative concepts introduced in a Calculus course. They review exponential growth and how it is used to measure increase in values. Students also apply the use of the...
Curated OER
Differential Equations and Population Growth Lesson
Students calculate the size of the population at a given time, for a population that grows at a rate that is directly proportional to the number of members present in the population. They also calculate the time at which the population...
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus With Applications
The online course consists of educational materials about applications of calculus. Readings, syllabus, interactive applets, and assignments are included.
Wolfram Research
Wolfram Math World: Calculus
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
New York Times
New York Times: Steven Strogatz on the Elements of Math Series the New York Times
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
Stanford University
Stanford University: Overview of Leibniz
This site outlines Gottfried Wilhelm Leibniz's life. Categories include principal works, Leibniz's life, Leibniz's contributions to philosophy, and further readings.
Texas Instruments
Texas Instruments: Differential Calculus
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.
Texas Instruments
Texas Instruments: Use of Cas in Teaching Differential Calculus by First Princip
This Computer Algebra System (CAS) activity encourages students to investigate the use of CAS to solve functions using derivatives and appropriate formulas.
Other
Dans Math: Lessons: Calculus (Part 1)
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
Wolfram Research
Wolfram Math World: Derivative of a Function
Nice comprehensive site dealing with the derivative. The site contains derivatives of basic fundamental functions. The site goes on to give unexplained rules when taking simple derivatives. These rules have links for further explanations.
ClassFlow
Class Flow: The Fundamental Theorem of Calculus
[Free Registration/Login Required] Although inverse operations, the two major branches of calculus- differentiated calculus and integrated calculus- are closely related. This connection was discovered by Isaac Newton and Gottfried...