Hello all blog viewers! This week was a very successful week in Advanced Placement Calculus. During Monday and Tuesday, we reviewed old lessons on U substitution. It makes a lot more sense why we learned anti derivatives the way we did in the first trimester in class. It was so we could later use that previous knowledge to understand integrals more and have new ways to solve for integrals. Using U substitution allows for one to solve harder integrals that you wouldn't be able to solve by simple anti-derivative rules. During Monday and Tuesday we also were able to reflect upon the previous chapter when Mr. Cresswell handed back chapter 5 tests. I did very well on it and feel very confident with most of the material. Later in the week we started to discuss slope fields. These fields allow for one to view what a graph of a unique function looks like by using the different slopes of the derivative. For example, when using dot paper and graphing the function from the derivative of dy/dx=x+y, you plug in different coordinates to find different slopes. The slope at (1,1)=2 and so on. This field is very useful when trying to envision things one would not be able to do with normal analysis tools. We have a quiz coming up on Monday and I plan to do a few homework assignments over the weekend to prepare for it. Go Math!
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