We went through some Final Exam Review and related midterm exam exercises, using the guide I posted earlier:
See below for a the list of topics for the final exam, listed according to the exercises on the Final Exam Review sheet. Also listed are additional exercises to review on each topic, from our midterm exams and quizzes; exam and quiz solutions are available on OpenLab Files:
#1(a)-(c): Integration by substitution (see also Exam #1, exercise #2 & #3(a); Quiz #2, exercise #2)
#2(a)-(c): Integration by parts (Exam #1, exercise #6)
#3(a)(b): Area between two curves (Exam #2, exercise #4; Quiz #3)
#4(a)(b): Volume of solids of revolution (Exam #2, exercise #5)
Skip #5 (Trig substitutions)
#6(a)-(e): Method of partial fractions (Exam #1, exercise #5; Exam #2, exercises #1 & #2)
#7(a)(b): Improper integrals (Exam #2, exercise #3)
#8: Infinite series with positive terms (Exam #3, exercises #1-3; infinite series HW)
#9: Alternating series (Exam #3, exercises #4-6; infinite series HW)
#10: Power series (Exam #3, exercise #8)
Skip #11-12 (Taylor polynomials)
We reviewed for Wednesday’s Exam #3, by going through some of the infinite seres homework, and another power series example this week.
You can find solutions the infinite series homework on OpenLab Files, as well as the “Convergence/Divergence of Infinite Series” summary pdf that I handed out in class. You can use that handout during the exam, as well as your infinite series homework.
Mon May 11:
