Post date: Oct 17, 2016 10:59:26 AM
We are now looking at how integrals are useful and in which situations they can be applied.
Monday, 10/17 - we looked at the idea of finding the area underneath a curve with a bunch of thin rectangles. Here are the worksheet notes from class. Your HW is the last page, all questions. Solutions are at the bottom.
Tuesday, 10/18 - we looked at The Fundamental Theorem of Calculus, which ties together integration and derivatives. Here is the worksheet of notes from class. Your HW is to complete the worksheet - whatever you don't finish in class, you should finish for HW. Read and digest the information, and we'll be ready to apply it when we have math class again on Thursday after your workshops which are on Wednesday.
Wednesday, 10/19 - you had senior workshops, senior swag day, and your senior picnic.
Thursday, 10/20 - we applied the Fundamental Theorem of Calculus and evaluated definite integrals, both by hand and on the GDC. Here are the slides from class. Your HW is p. 807 (Ex. 16.4) #1-10.
Friday, 10/21 - we looked at some useful properties of definite integrals. Here are the slides from class, here is the worksheet from class, and your HW are the exercises on the back of that worksheet.
Due Tuesday, 10/25 by 7PM is also your topic submission for your Internal Assessment. Pick a topic you're going to be interested in writing!
Here is the link to submit your topic - please answer all questions: goo.gl/BUCV98.
Monday, 10/24 - we evaluated definite integrals with substitution and also found the areas under curves. Here are the slides from class. Your HW is p. 807 (Ex. 16.4) #23-27.
Tuesday, 10/25 - we calculated the areas between two curves. Here are the slides from class. Your HW is p. 818 (Ex. 16.6) #1, 4, 5, 7, 8.
Wednesday, 10/26 - we calculated the volume of a solid of revolution when we revolve a function around the x-axis. Here are the slides from class. Your HW is p. 825 (Ex. 16.7) #1-4, 9.
Thursday, 10/27 - we calculated the volume of a solid of revolution that is defined by two functions. Here are the slides from class. Your HW is p. 825 (Ex. 16.7) #10, 12, 13, 19.
Friday, 10/28 - we considered areas and volumes with functions best defined as a function of y instead of x. Here are the slides from class. Your HW is p. 818 (Ex. 16.6) #13, 14 & p. 825 (Ex. 16.7) #21 (use washers and check with shells), 23 (use shells), 26 (your choice).