Concepts and Applications

• Euler's Method for a first-order initial value problem

• Reduction of a second-order differential equation to a first-order system

• Euler's Method for a second-order initial value problem

• Sine and cosine functions

• Period

• Fundamental period

• Frequency

• Derivatives of sines and cosines

• Tangent function

• Derivative of the tangent function

• Inverse sine and inverse tangent functions

Applications

• Falling Raindrops

• Motion of spring-mass systems

• Variation in length of daylight

• Yearly variation in temperature

• Measuring tall objects

• Optimal viewing angle