Course.
Math 231 U1 Spring 2016
Calculus II
10:00-10:50 MWF 40 Allen Hall
Syllabus
Instructor.
Aristotelis Panagiotopoulos
panagio2 at illinois.edu
Reminders.
- Homework 16 due Sunday 08 May 11:55 PM
- Homework 15 due Sunday 01 May 11:55 PM
- Quiz 7 on Friday 29 April (§ 10.1, 10.2 )
- Homework 13 due Friday 15 April 3:00 PM and Homework 14 due Saturday 16 11:50 PM
- No Quiz on Friday 15 April but two homeworks!
- Quiz 6 on Friday 08 April (§ 11.4, 11.5)
- Homework 12 due Friday 08 April 3:00 PM
- Quiz 5 on Friday 01 April (§ 11.4, 11.5)
- Homework 11 due Friday 01 April 3:00 PM
- Homework 10 due Saturday 19 March 11:00 PM
- Midterm 2 exam on March 14 (§ 7.7, 8.1-8.3 & 11.1-11.3 )
- Homework 9 due Friday 11 March 3:00 AM
- Quiz 4 on Friday March 04 (§ 7.7, 8.3 moments)
- Homework 8 due Friday 04 March 3:00 AM
- Quiz 3 on Friday Feb 26 (§ 8.1 & 8.2 & 8.3 only up to hydrostatic)
- Homework 7 due Friday 26 Jan 3:00 AM
- Homework 6 due Friday 19 Jan 3:00 AM
- Midterm 1 exam on Feb 15 (§ 7.1-7.5 & 7.8 )
- Homework 5 due Friday 12 Jan 3:00 AM
- Quiz 2 on Friday 05 Feb (trigonometric integrals & substitution)
- Homework 4 due Sunday 07 Feb 11:50 PM
- Homework 3 due Friday 05 Feb 3:00 AM
- Homework 2 due Friday 29 Jan 3:00 AM
- Quiz 1 on Wednesday 27 Jan (integration by parts)
- Homework 1 due Monday 25 Jan 9:50 AM
- Webassign registration: here
Worksheets.
W1 (Solutions),
W2 (Solutions),
W3 (Solutions),
W4 (Solutions),
W5 (Solutions),
W6 (Solutions),
W7 (Solutions),
W8 (Solutions),
W9 (Solutions),
W10 (Solutions),
W11 (Solutions),
W12 (Solutions),
Quizzes.
Q1 (Solutions)
Q2 (Solutions)
Q3 (Solutions)
Q4 (Solutions)
Q5 (Solutions)
Q6 (Solutions)
Q7 (Solutions)
Exams.
Final exam
Extra problems for polar coordinates and questions from past final exams (Solutions)
Topics calendar.
- May 04   Arc length and Area in polar coordinates and Final exam specifics (study Section 10.4 )
- May 02   Worksheet (study Section 10.2 & 10.3)
- April 29   Polar coordinates (study Section 10.3 )
- April 27   Polar coordinates (study Section 10.3 )
- April 25   Worksheet (study Sections 10.1 & 10.2 )
- April 22   How to plot parametric curves and derivatives (study Section 10.1 & 10.2 )
- April 20   Parametric curves warm up (study Section 10.1 )
- April 18  midterm 3 exam (study Section 11 )
- Apr 15 Taylor Series wrap up and applications (study § 11.10 )
- Apr 13 Taylor Series (study § 11.10 )
- Apr 11 Worksheet (study § 11.9 & 11.10 )
- Apr 08 Taylor Series (study § 11.10 )
- Apr 06 Functions as Power Series (study § 11.9 )
- Apr 04 Worksheet (study § 11.6 & 11.8 )
- Apr 01 Power Series (study § 11.8 )
- Mar 30 Absolute Convergence and the Ratio and Root Tests (study § 11.6 )
- Mar 28 Worksheet (study § 11.4-11.5 )
- Mar 18 Alternating Series (study § 11.5 )
- Mar 16 Comparison tests (study § 11.4 )
- Mar 14 midterm 2 exam (study § 7.7, 8.1-8.3 & 11.1-11.3 )
- Mar 11   Integral test approximation & REVIEW (study § 11.3 )
- Mar 09 Worksheet (study § 11.1-11.4 )
- Mar 07 The integral test & The comparison test (study § 11.3 & 11.4 )
- Mar 04 Series (study § 11.2 )
- Mar 02 Sequences & Series (study § 11.1 & 11.2 )
- Feb 29 Worksheet 5 (study § 8.3 & 7.7)
- Feb 26 Approximate Integration (study § 7.7 )
- Feb 24 Applications: hydrostatic force, moments (study § 8.3 )
- Feb 22 Worksheet 4 (study § 8.1 & 8.2 & 8.3 )
- Feb 19 Applications: surface area, hydrostatic force (study § 8.2 & 8.3 )
- Feb 17 Applications: arc length (study § 8.1 )
- Feb 15 midterm 1 exam (study § 7.1-7.5 & 7.8 )
- Feb 12 Improper integrals & REVIEW (study §7.8 )
- Feb 10 Improper integrals (study §7.8 )
- Feb 08 Worksheet 3 (study §7.4 , §7.8 )
- Feb 05 Partial fractions (study §7.4 )
- Feb 03 Partial fractions (study §7.4 )
- Feb 01 Worksheet 2 (study §7.2, §7.3 )
- Jan 29 Trig substitution & Trig integrals (study §7.3 )
- Jan 27 Trig integrals & (study §7.2 )
- Jan 25 Worksheet 1
- Jan 22 Substitution & Integration by parts (study §7.1)
- Jan 20 Overview of Calc II (review from Calc I: §5.3 - §5.5 & §6.2)
Suggested problems from early transcendentals 7th edition.
- §7.1 (1-37 odd)
- §7.2 (1-49 odd)
- §7.3 (1-29 odd)
- §7.4 (1-31 odd)
- §7.5 (all odd here are good practice)
- §7.8 (1-39 odd, 49-53 odd, 57, 59)
- §8.1 (7-17 odd, 31, 32)
- §8.2 (5-15 odd)
- §8.3 (Problems on hydrostatic force and moments.)
- §7.7 (7-17 odd, 29, 31,33)
- §11.1 (23-53 odd)
- §11.2 (1-4, 17-39 odd, 57-63 odd, 67, 68)
- §11.3 (7-25 odd, 29, 32, 34, 36, 37, 38)
- §11.4 (3-25 odd, 39, 45)
- §11.5 (3-19 odd, 23, 24, 25, 27, 29, 31, 33, 34)
- §11.6 (3-29 odd, 35)
- §11.7 (1-37 odd)
- §11.8 (3-27 odd, 29, 30, 33)
- §11.9 (3-9 odd, 13, 15, 17, 19, 25-32, 40)
- §11.10 (5, 7, 9, 13-19 odd, 25-28, 29-37 odd, 43, 44, 45, 46, 47-70)
- §11.11 (13, 15, 19, 25, 36)
- §10.1 (5,7,9,11,13,15, 21, 24, 25, 26, 27, 28, 37)
- §10.2 (5, 17, 19, 29, 30, 33, 37, 39, 41, 51, 57, 59, 61)
- §10.3 (9, 11, 15, 17, 19, 21, 23, 25, 29-45 odd, 54, 55, 57, 59, 61, 63)
- §10.4 (5, 7, 9, 11, 17, 21, 23, 27, 29, 31, 33, 37, 29, 41, 45, 47)
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