Today we worked on partial fractions integration. Assignment is p. 452 #1-12. Solutions are available in the ch8 folder.
Today we practiced integration with partial fractions. Homework is p. 451 #1-10. You should complete as many of the partial fraction decomp problems as you can (half sheet worksheet). I assigned # 14, 16, 17 for homework. YOU DO NOT NEED TO COMPLETE #16 - you just need to set up the partial fractions but do not need to solve for the values of A, B, C, etc.
Today we worked through some of the mixed review problems that were giving you trouble. Then we talked about how partial fraction decomposition is going to help us integrate a rational function for which our other techniques don't work. The solutions for the mixed review are available in the chapter 8 folder on google drive (thanks Dex for making the KEY!!)
Today we reviewed the concept of partial fraction decomposition, which you learned in Precalculus. We also reviewed how to use graphing calculators to solve matrices. We will continue working on practice problems for partial fraction decomposition in class tomorrow.
Homework is to keep working on the mixed review. The entire mixed review worksheet is due on Monday. We continued working on the mixed review (20 problems) together in class. Tomorrow we will begin partial fraction decomposition, and then use partial fractions to help us integrate rational functions.
Today we began another review worksheet. We will check the answers in class tomorrow.
Today we reviewed the topics we have been working on this chapter: L'Hopital's rule, comparing relative rates of growth, and improper integrals. Homework is the pink worksheet.
After today, you should be able to identify and improper integral and explain why it is improper. You should also be able to rewrite it as the limit of a proper integral and determine if the integral converges or diverges. Homework is p. 442 #3,6,8.
Today we learned about improper integrals. Homework is p. 442 Quick Response #1,2,4,5,6 (these should be review problems to get you thinking) and Exercises #2-6 (these are the types of problems we learned today). You only need to do the ones that have infinity as one of the limits of integration. We will learn how to deal with the ones that have infinite discontinuities tomorrow.
Here is the recap of what we have done since last Thursday.
Friday 4/22: We practiced using L'Hopital's rule. p. 424 #15-41 odd Monday 4/25: We learned how to compare rates of growth of different functions as x gets very large. Homework is p. 431 #1-21 odd. Some problems are not a straight plug and chug. You will have to think about what the function is doing as x gets very large. Tuesday 4/26: More practice comparing growth rates. Homework is p. 431 #2-22 even. |