MAT237Y1 Lecture Notes - Even And Odd Functions
Document Summary
When i explained section 6. 1, i breie y talked about approximating area under curves using rectangles. The problem is, if we want a lot of rectangles to get the area a pretty good approximation, we need to add up a whole bunch of stu and it got really tedious to write + over and over. Well, rather than writing something plus something plus something a whole bunch of times, mathematicians came up with a shortcut. It means sum. ie, if i were to say. 1 + 2 + 3 + 4 + 5 + + 10 this is the same as expressing it in terms of : This works the same way as a loop does. It says start at k = 1 and keep incrementing k by one until you get to 10. Oh, and by the way, add up all the k"s while you"re doing that. Notice this does not actually solve the adding problem.