Since the new year,it seems that I would rather be doing anything else other than blog posts such as math homework or even studying for calc. It.It seems that blog posts are bringing out the worst in me as far as writing is concerned.I was kidding:I just wanted to avoid the boring this week we learned about blah blah as my introduction.The topic of discussion this week was Slope Fields and anti-differentiation by substitution.Both of these units were familiar but felt difficult to understand and so I took the time to study those topics better through the homework assignments.Since I began regularly doing my homework assignments,I have noticed an increase in grade in Calc which has thought me the importance of getting the homework done on time.
The fundamental theorem was a great unit because it combined topics I enjoyed studying in calc and made it more simple than I would have imagined.While the fundamental theorem is a great unit it also serves as the bridge between integration and differentiation.To understand it better,this theorem has been divided into two portions: one of which deals with the chain rule to substitute and another which deals with finding the area by evaluating the integral.
Learning this unit was suprisingly difficult for me,intially.I think it's because I failed to see the lack of connection on problems using the chain rule.I simply assumed it was going but how ?This question was answered completly soon after I began watching several videos which taught me a pattern per say to manuever through the problem This week we began chapter 5 and we started with an activity on finding the areas of iregular polygonsand shapes.Some of the polygons/shapes were combinations of triangles, trapezoids, rectangles, and circles and so in order to find the areas of one such example one would use the appropriate polygon.For each of the shapes one could use a rectangle to find the area,which is why finding area is measured in square units.This directly led us into the topic of RAM or rectangular approximation method.
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