In this video we are going to talk about Applied Optimization problems. There are many math problems where, based on a given set of constraints, we must minimize something, like the cost of producing a container, or maximize something, like an area that will be fenced in. These are called optimization problems, since we will find an optimum value for a given parameter. Essentially, these problems involve finding the absolute maximum or minimum value of a function over a given interval. We will see in the examples we cover that optimization problems have many applications in real-life.
I recommend just
about always starting with a sketch!
Remember to get
your function down to a function of a single variable.
Remember to check
the endpoints as well as the critical points!
Include units on
your final result.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.