2019 CED Unit 7: Differential Equations

Applications (Unit 8) seems to fit more logically after the opening unit on integration (Unit 6). The Course and Exam Description (CED) present differential equations first probably because the previous unit ended with techniques of antidifferentiation. My guess is that many teachers will teach Unit 8: Applications of Integration before Unit 7: Differential Equations. Therefore,…

Posts in Differential Equations – 1

Next in line are differential equations. Here are links to some past posts on differential equations Differential Equations Outline of basic ideas for AB and BC calculus Slope Fields Euler’s Method – a BC only topic Domain of a Differential Equation mentioned on the new Course and Exam Description Good Question 6  2000 AB 4…

Good Question 2: 2002 BC 5

This is the second in my occasional series on good questions, good from the point of view of teaching about the concepts involved. This one is about differential equations and slope fields.The question is from the 2002 BC calculus exam. Question 5. while a BC question, all but part b are suitable for AB classes.…

Slope Fields

Differential Equation 2 – Slope Fields Of course, we always want to see the graph of an equation we are studying. The graph of a differential equation is a slope field.  A first derivative expressed as a function of x and y gives the slope of the tangent line to the solution curve that goes…