MAT1575 – Ganguli – Spring 2023

Class Info

• Date: Thurs, May 18
• Meeting Info: 10a-11:40a, N703

Final Exam review

The final exam is on Tuesday May 23, and will consist of exercises similar to the Final Exam Review exercises (most of which we have covered in class and/or have been assigned as homework over the course of the semester).

On Thursday, we went over the Final Exam Review exercises by topic. Here is the summary, along with exercises from the midterm exams to review (solutions for the 3 midterm exams are available via Files). The final exam will likely consist of one exercise on each of these 10 topics:

#1: Integration by substitution (Exam #1, Exercise #4)

#2: Integration by parts (Exam #1, Exercise #5)

#3: Area between two curves (Exam #2, Exercise #4)

#4: Volume of solids of revolution (Exam #2, Exercise #5)

#5: Trig substitutions (Exam #2, Exercise #1)

#6: Method of partial fractions (Exam #2, Exercise #2)

#7: Improper integrals (Exam #2, Exercise #3)

#8: Infinite series with positive terms (Exam #3, Exercises #1-7)

#9: Alternating series (Exam #3, Exercises #8)

#10: Power series (examples from Thursday’s class — see below; Quiz #3, #7)

Class Info

• Date: Thurs, May 11
• Meeting Info: 10a-11:40a, N703

Upcoming schedule

• Complete the take-home quiz distributed in class last Tuesday.  The quiz is due Thursday (May 18). If you missed class last week, you can find the pdf of the quiz on OpenLab Files  You can also download the pdf of the “Convergence/Divergence of Infinite Series” handout, which summarizes the material on infinite series we have covered over the past month.
• Midterm exam #3 on Tuesday (May 16) will cover infinite series, with exercises very similar to quiz exercises #1-6.
• On Thursday (May 18), I will return the Exam #3 and collect the take-home quiz. We will cover some examples on power series (which use the Ratio Test), and review for the final exam. 
• The final exam is on Tuesday May 23, and will consist of exercises similar to the Final Exam Review exercises (most of which we have covered in class over the course of the semester.)

Topics

• Sec 5.6: Ratio Test
• Final Exam Review exercises: #8(c)-(d)

Class Info

• Date: Tues, May 9
• Meeting Info: 10a-11:40a, N703

Handouts

• (1) Summary of convergence/divergence test for infinite series
• (2) Quiz #3 – take-home quiz on infinite series – due Thurs May 18
  • use the summary handout as you work through the exercises on the quiz
  • quiz exercises (excluding the last exercise on power series) serve as review exercises for Exam #3 (which will be next Tuesday, May 16)
• both handouts available as pdfs in Files

Topics

• Continued with Sec 5.5: Alternating Series
• Absolute convergence vs conditional convergence
• Final Exam Review exercises: #9(a)-(d)