MWF 9 – 11 AM
Altegeld Hall 159
Instructor: Dashiell
Fryer
Email: dfryer
(at) illinois (dot) edu
Phone: (217)
333-1220
Office: 178
Altgeld Hall
Office hours: Tuesday/Thursday
4 – 5 pm in 341 AH, or by appointment.
Reading assignments
For Friday, January 23 : Read sections 6.1 and 6.2. We will begin the discussion on Friday with deriving the integration by parts formula. We will then proceed to use integration by parts, or IBP for short, to evaluate integrals you previously could not solve.
For Monday, January 26: Read section 6.3 up to pg 525. You may stop when you reach “Trigonometric Substitution”
Wednesday, January 28: Finish reading section 6.3. Make sure you understand why particular substitutions work with certain forms.
Friday, January 30: Read 6.4 entirely.
Monday, February 2: Read 6.6 on improper integrals.
Wednesday, February 4: HW to be handed in is; 6.3.17, 19, 25, 29, 33, 2(d) from Worksheet 4: Trigonometric Substitution, 6.4 1, 7, 9, 11, 23, 28, and 2(a,b) from Worksheet 5: More Trigonometric Substitution. 2(c) from Worksheet 5 is extra credit.
For Monday, February 9: Read all of 7.1.
Wednesday, February 11: Compile any important information on the integration techniques discussed in chapter 6. We will fill in any details that may not be clear on Friday. This will begin the review for Exam 1 to be given on Wednesday February 18.
Check the new syllabus below. The update includes the new room and time for office hours as well as the midterm exam room and time. The new office hours are 4-5pm Tuesday and Thursday in 241 AH. Our exam room is 145 AH. All exams are 9:00am to 9:50am.
Correction: Office hours will be in AH 341 at 4-5pm from now on.
Mock Exam: we have room 145 AH from 6-8pm, Friday 13th for our mock exam.
Solutions are now posted for mock exam 1.
Friday, February 20: Read 8.1 in its entirety. Make sure you take good notes on this section, it forms the basis for everything we do with series. HW is TBA.
Monday, February 23: Have 8.2 read. A homework assignment is on the worksheet labeled Sequences II.
Friday, February 27: Have 8.3 read up to the subsection labeled Comparison Tests. Take particular note of the error estimate for the integral test.
Monday, March 2: Complete reading 8.3 and read 8.4 entirely. Take particular note of the error estimate for alternating series. These error estimates will become EXTREMELY important when we discuss Taylor Series.
Wednesday, March 4: Read 8.5. Take particular note of the chart on 662, this is essentially a plan of attack for determining whether any series converges or diverges.
Friday, March 6: Read 8.6. This will be the last section on Midterm II.
Friday, March 13: Mock Exam will be held tonight 6-8 pm in Altgeld Hall 145. The exam will be posted on the web after the exam is completed.
Wednesday, March 18: Read 8.7 on Taylor Series for functions. Be prepared to derive the formula for the coefficients in the Taylor series.
March 21 to March 29: Enjoy the break, but don't forget about the Supplemental Worksheet on Taylor Series due on Monday March 30 (to the substitute). There are links below to the two handouts. This assignment is mandatory, NO CREDIT WILL BE GIVEN FOR LATE ASSIGNMENTS!!!
Friday, March 27: The website has been updated. The is now a section for the exams below with the solutions. Use these and the topic scores to improve your scores on the coming exams.
Monday, March 30: Read 8.8 for Wednesday's class. Make sure you understand the worksheet on operations on series, we will use these during the workshop.
Wednesday, April 1: Read 9.1. This is a very important topic for understanding curves and surfaces in higher dimensions.
Wednesday, April 22: Read 9.6 and 9.7 for Friday and Monday resp.
Wednesday, April 29: Our final topic will be Fourier Series in section 8.9. Read the section and try some of the practice problems.
Worksheets and handouts
Mock Exams/Quizzes
Exams
Course documents