MATH 136 -- Calculus 2, section 2, Fall 2016

Syllabus and Schedule

• Course syllabus
• Course schedule to end of semester, revised December 1

Information and Announcements

• Information about calculus courses and textbook
• Information about WebAssign. Our class's WebAssign class key: holycross 8166 6336 (note the "holycross" is all lower-case letters, with no space)
• Information on Maple and lab exercise
• Revised office hours for remainder of semester:
  • Mondays, 1 - 3pm (open)
  • Tuesdays, 8 - 9am (for MATH 135), 9 - 10am (open)
  • Wednesdays, 2 - 3pm (open), 3 - 4pm (for MATH 136)
  • Thursdays, 8 - 9am (for MATH 135), 9 - 10am (for MATH 136), 10 - 11am open
  • Fridays, 1 - 3pm (open)
• The Final Examination for this course will be given 11:00am - 1:30pm on Tuesday, December 13 in our regular classroom, Swords 321.
  • Information sheet and practice exam for the final -- Final Exam review sheet and solutions.
  • To help you prepare for the final, here are the review sheets and practice exams for the three midterms again:
    • Exam 1 Review sheet, and
    • answers for practice exam questions.
    • Exam 2 Review sheet, and
    • answers for practice exam questions.
    • Exam 3 Review sheet, and
    • answers for practice exam questions.
• Review session for final exam: Monday, December 12, 7:00pm in Swords 321.

Solutions

• Solutions for Problem Set 1, part B
• Solutions for Problem Set 2, part B
• Solutions for Exam 1, given on September 23
• Solutions for Problem Set 3, part B
• Solutions for Problem Set 4, part B
• Solutions for Problem Set 5, part B
• Solutions for Exam 2, given on October 28
• Solutions for Problem Set 6, part B
• Solutions for Retest on Exam 2, given on November 8
• Solutions for lab on numerical integration methods, due on November 11.
• Solutions for Problem Set 7, part B
• Solutions for Problem Set 8, part B
• Solutions for Lab 3.
• Solutions for Exam 3, given on December 1.
• Solutions for Problem Set 9, part B
• Solutions for Final Examination, given on December 13.

Examples, Class Notes, Etc.

• Lecture notes on integration by trigonometric substitutions, classes 10/17 and 10/18
• Lecture notes on integration by partial fractions, classes 10/19 and 10/21
• Lecture notes on slope fields and Euler's Method for differential equations, class on 11/9

Assignments

• Information and Guidelines on problem sets.
• Problem Set 1 -- due: Friday, September 9
  • Part A -- in WebAssign
  • Part B -- Section 5.1/83 (Note: you may have seen the summation formula for a "geometric sum" under a different name; perhaps as a "finite geometric series." In either case, the problem is referring to the formula: a + ar + ar² + ... + ar^N = a(1 - r^N+1)/(1 - r) L'Hopital's Rule is covered in Section 4.5 of the textbook if you need a "refresher."); Section 5.2/48, 50.
• Problem Set 2 -- due: Friday, September 16
  • Part A -- in WebAssign
  • Part B -- Section 5.3/70,80; Section 5.4/62 (Extra Credit: 5.4/63, which derives the formula of Archimedes I mentioned on the first class day in general); Section 5.5/26
• Problem Set 3 -- due: Friday, September 30
  • Part A -- in WebAssign
  • Part B -- Chapter 5 Review Exercises/118; Section 6.1/52; Section 6.2/19
• Problem Set 4 -- due: Friday, October 7
  • Part A -- in WebAssign
  • Part B -- Section 6.2/20; Section 6.3/56; Section 7.1/84, 88
• Problem Set 5 -- due: Friday, October 21
  • Part A -- in WebAssign
  • Part B -- Section 7.2/71,78,79; Section 7.3/47,49
• Problem Set 6 -- due: Friday, November 4
  • Part A -- in WebAssign
  • Part B -- Section 7.5/62 (Hint: Putting the partial fractions over a common denominator shows that Q(x) = (x - a₁)(x - a₂) ... (x - a_n). Use this form to compute the derivative Q'(a_i) and compare that with the partial fraction decomposition.); Section 7.6/48; Section 7.7/84; Section 7.8/13 (Hint: Don't get freaked out, a₀ is just a constant).
• Problem Set 7 -- due: Friday, November 11
  • Part A -- in WebAssign
  • Part B -- Section 7.9/41, 44; Section 9.1/46.
• Problem Set 8 -- due: Friday, November 18
  • Part A -- in WebAssign
  • Part B -- Section 9.3/15; Section 9.4/8; Section 9.5/41,42.
• Computer lab session on logistic growth models.
• Extra credit assignment on Archimedes' quadrature of the parabola
• Problem Set 9 -- due: Friday, December 9
  • Part A -- in WebAssign
  • Part B -- Section 10.1/88; Section 10.2/51,58.

Related Links

• Biographical information on Isaac Newton
• Biographical information on Gottfried Leibniz
• Biographical information on Bernhard Riemann
• Note: The Greek phrase appearing next to the heading of this page is one traditional rendering of the reported inscription over the entrance to Plato's Academy in Athens (founded about 387 BCE). It means (roughly) Let no one ignorant of geometry enter. This is a reflection of the foundational role of geometry in Plato's ideas about knowledge and education.

Last modified: December 14, 2016