MAT 1120 — §102, Spring '14 (141)

Let us reflect that, having banished from our land that religious intolerance under which mankind so long bled and suffered, we have yet gained little if we countenance a political intolerance as despotic, as wicked, and capable of as bitter and bloody persecutions.

— Thomas Jefferson (1743-1826) in his First Inaugural Address.

Homework List

✈ Jump down to '♞ This Week.'

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Week 1

• Monday, Jan 13 — First day of class
  §5.3, pg. 294; No. 1 → 8, 9, 11, 15, 19, 27, 49, 51.
  
  
• Tuesday, Jan 14
  §5.4, pg. 305; No. 1 → 8, 13, 17, 22, 24, 29, 37, 43.
  
  
• Wednesday, Jan 15
  ◊ Group Work: Derivative Review problems; No. 1, 5, 9, ... (every other odd).
  
  
• Friday, Jan
  ◊ Work Day — no formal class; meet with your group
  ¤ Group Work: Derivative Review problems; No. 2, 6, 10, ... (every other even).
  
  

Week 2

• Monday, Jan 20
  ◊ No class today — Martin Luther King, Jr, Day
  
  
• Tuesday, Jan 21
  ¤ Quiz 1 today!
  §6.4, pg. 342; No. 1 → 15 odd, 17, 29, 35, 37.
  ◊ Review Exercises, pg. 349; No. 98.
      Use Maple, entering (or copy/paste this): Explore(int((x-a)/(x-1),x), parameters=[a=1..5])
  
  
• Wednesday, Jan 22
  ➀ No class today – ASU is closed until 11:00 am due to weather.
  ¤ Read §7.1
  §7.1, pg. 360; No. 1 → 19 odd.
  
  
• Friday, Jan 24
  ◊ Remember — we meet in the Walker 209 B Mac lab today.
  ¤ WeBWorK Homework 1120.01 (due Monday by 10 am)
  §7.1, pg. 360; No. 21 → 43 odd.
  
  

Week 3

• Monday, Jan 27
  §7.1, pg. 360; No. 79, 80, 93, 107, 115ab.
  ¤ Substitution worksheet. No. 23 → 33 odd.
  
  
• Tuesday, Jan 28
  §7.2, pg. 368; No. 1 → 39 odd, 61. Challenge Problem: 58.
  
  
• Wednesday, Jan 29
  ➁ No class today – ASU is closed until 10:00 am due to weather.
  ¤ Read §7.3 Tables Of Integrals
  §7.3, pg. 374; No. 1 → 13 odd.
  
  
• Friday, Jan 31
  ¤ WeBWorK Homework 1120.02 (due Monday by 10 am)
  §7.4, pg. 384; No. 1 → 7 odd, 10, 15, 27, 30.
  ◊ Quiz 2 is next Friday!
  
  

Week 4

• Monday, Feb 3
  §7.4, pg. 384; No. 23, 51, 57, 69. Look at 80.
  
  
• Tuesday, Feb 4
  §7.4, pg. 384; No. 31, 35, 37, 48, 69, 71.
  
  
• Wednesday, Feb 5
  §7.5, pg. 392; No. 1 → 9, 11, 15.
  
  
• Friday, Feb 7
  ◊ Quiz 2 is today!
  ¤ Test 1 is next Wednesday!
  ◊ Let \(f(x) = e^{2x}\) for \(x\in(0,1)\). Determine how many rectangles/panels are needed to have an error \(\varepsilon\) less than \(10^{-4}\) for approximating the integral \[\int_0^1 e^{2x} dx\]    with
  1. right hand rectangles
  2. trapezoids
  3. midpoints
  4. Simpson's rule
     (See the Chart of error formulas from class today.)
  §7.6, pg. 401; No. 1, 3.
  
  

Week 5

• Monday, Feb 10
  §7.6, pg. 401; No. 5, 7, 19, 33, 35, 39.
  
  
• Tuesday, Feb 11
  §8.1, pg. 419; No. 3, 9, 11, 13, 15, 17, 23, 25.
  
  
• Wednesday, Feb 12
  ¤ Morning classes — that's us! — meet as scheduled. Afternoon classes are cancelled for the weather.
  §8.2, pg. 427; No. 1, 3, 5, 15, 16, 21, 24.
  ¤ Test 1 is today!
  
  • Whereas the National Weather Service has forecasted a large snow event for Watauga county, and
    Whereas AppalCART will likely close, curtail, or delay operations, and
    Whereas Appalachian is totally dependent on AppalCART for bringing students to classes, and
    Whereas it's a pain in the posterior not to know whether classes will be cancelled or postponed on a test day until a few hours before the test,
    Be It Resolved That our test will be postponed until Monday, Feb 17.
  
  
• Friday, Feb 14
  ➂ No class today – ASU is closed until 10:00 am due to weather; classes begin at 11:00 am.
  ¤ Read §8.5
  §8.5, pg. 456; No. 1 → 9 odd.
  
  

Week 6

• Monday, Feb 17
  ¤ ¡Test 1 is today! (Test 1 Topics list)
  You can bring:
  • a calculator (Check the batteries!)
  • one \(5''\!\times7''\) note card with any notes/formulas/etc.
  
  
• Tuesday, Feb 18
  §9.1, pg. 495; No. 1 → 11 odd, 13 → 23 odd, 25, 31, 55, 59, 75.
  ¤ Define the sequence \(u_n\) by \[ u_n = \sqrt{\frac{u_{n-1}+1\strut}{2}} \] \[ u_1=0.\qquad\qquad\quad \]
  1. Is \(u_n\) a monotone sequence?
  2. Does \(u_n\) converge or diverge?
  
  
• Wednesday, Feb 19
  §9.2, pg. 495; No. 9 → 15 odd, 21, 27, 33, 49. Look at 43, 45.
  
  
• Friday, Feb 21
  ¤ WeBWorK Homework 1120.03 (due Tuesday by 5 pm)
  §9.3, pg. 510; No. 1 → 11 odd, 13, 17, 25, 37, 46.
  ◊ Query: Why does a series \(\displaystyle\sum_{k=0}^\infty a_k\) diverge when the limit \(\displaystyle\lim_{k\to\infty} a_k\ne0\)?
  

Week 7

• Monday, Feb 24
  §9.4, pg. 518; No. 1 → 7 odd, 9, 15, 21, 23, 27, 31, 33, 39, 45.
  
  
• Tuesday, Feb 25
  ◊ The Series Convergence Worksheet, odd problems.     (Answers: Maple worksheet or Web page.)
  
  
• Wednesday, Feb 26
  §9.4, pg. 518; No. 55, 71, 83, 85; Look at 95.
  
  
• Friday, Feb 28
  §9.5, pg. 527; No. 1 → 5, 9, 11, 15, 19, 25, 30, 49, 53, 55, 59.
  
  

Week 8

• Monday, Mar 3
  §9.5, pg. 527; No. 17, 21, 37, 41, 51, 57, 61, 63.
  ¤ Which of the two power series below has \(RoC=\frac13\) and is centered at \(4\)?
  1. \(\displaystyle \sum_{n=0}^\infty (3x-4)^n\)
  2. \(\displaystyle \sum_{n=0}^\infty (3[x-4])^n\)
  
  
• Tuesday, Mar 4
  ◊ Chapter Summary (9), pg. 529; No. 1 → 65 odd, 67, 72, 97.
  
  
• Wednesday, Mar 5
  ◊ Quiz today!
  ¤ Determine the behaviour of the Prozac regimen: Daily doses of 80mg with a half life of 9 days.
  1. Find a series formula expressing the amount of Prozac in the body at day \(n\).
  2. Graph your formula.
  3. If the patient stops taking the drug, how many days pass before the amount of Prozac in their system is below 5mg?
  
  
• Friday, Mar 7
  ➃ No class today – ASU is closed due to weather. "Let's be careful out there!"
  ¤ WeBWorK Homework 1120.04 (due Wednesday, Mar 19, by 5 pm)
  — Here's what we were going to do today: Amoxicillin. Until Spring Break started early...
  
  

Spring Break Week: Mar 10 → 14.


Week 9

• Monday, Mar 17
  §10.1, pg. 544; No. 1 → 13 odd, 17, 19, 22, 29.
  
  
• Tuesday, Mar 18
  §10.1, pg. 544; No. 35, 37, 38a, 47, 49, 51.
  
  
• Wednesday, Mar 19
  §10.2, pg. 550; No. 1 → 7 odd, 9 → 15 odd, 19, 21, 25, 28, 33.
  ¤ WeBWorK Homework 1120.04 is due today by 5 pm.
  
  
• Friday, Mar 21
  ◊ Taylor Series. Project Day      Due in class Monday.
  
  

Week 10

• Monday, Mar 24
  §10.3, pg. 557; No. 1 → 19 every other odd, 21, 27, 33, 40 (for physicists), 41 (for chemists).
  ¤ DON'T wait until Thursday night to study for the test — start *last* week!
  
  
• Tuesday, Mar 25
  ¤ Review Day for Test 2
  ◊ See pp. 481, 529, and 578 for sample problems.
  
  
• Wednesday, Mar 26
  ➄ Classes before 10:00 am are cancelled due to snow/cold.
  
  
• Friday, Mar 28
  ¤ Today: Meet in WA 314.
  ¤ ¡Test 2 is today! (Study: Test 2 Topics list)
  You can bring:
  • A calculator (Check the batteries!)
  • Two \(5''\!\times7''\) note cards with any notes/formulas/etc.
  
  

Week 11

• Monday, Mar 31
  ¤ Project Day (no formal class meeting).
  
  • The Koch Snowflake Project.     (Download a Maple worksheet that makes animated graphs of the Koch snowflake.)
    Your Project Report is due Monday, April 7.
  
  
• Tuesday, Apr 1
  §10.4, pg. 563; No. 1 → 7 odd, 11, 13, 19, 29.
  
  
• Wednesday, Apr 2
  §10.5, pg. 575; No. 1 → 7 odd, 13, 18; LA 26 → 30.
  ◊ "Mathematics, Physics and A Hard Day's Night" by Jason Brown, Dalhousie University
  ◊ Maple analysis of the chord
  
  
• Friday, Apr 4
  ¤ Finish your Koch Snowflake project report.
  
  

Week 12

• Monday, Apr 7
  §11.1, pg. 589; No. 1 → 13 odd, 18, 19, 23a, 25, 40.
  
  
• Tuesday, Apr 8
  §11.2, pg. 594; No. 1 → 9 odd, 11, 12, 13, 15, 17, 23.
  ◊ Maple Worksheets
  • Slope Field Worksheet
  • Slope Field Plotter
  
  
• Wednesday, Apr 9
  §11.3, pg. 602; No. 1 → 7 odd, 11, 13, 17.
  
  
• Friday, Apr 10
  ◊ Euler's Method and Population Models
  
  

Week 13

• Monday, Apr 14 — Join us! Help stamp out DHMO!
  §11.4, pg. 607; No. 1 → 7 odd, 21, 25, 33, 41, 52, 60, 61.
  
  
• Tuesday, Apr 15 — Tax Day!
  ¤ Make sure you can do the problems from Test 2; you'll see some of them again on May 5!
  
  
• Wednesday, Apr 16
  ¤ Read §11.5.
  §11.5, pg. 616; No. 1 → 5 odd.
  
  
• Friday, Apr 18
  §11.5, pg. 616; No. 9, 11, 12, 14.
  ◊ The Integration Bee
  
  ¤ Test 3 is next Friday, April 25!
  ¤ The Mathematician Birthday project (extra credit). Due Friday, April 25.
  ◊ A Math Career note from Analytics magazine for a quick Easter Break read.
  ◊ Math people can find lots of jobs to apply for...
  
  

Week 14

• Monday, Apr 21 — Easter Break
  ¤ No classes.
  
  
• Tuesday, Apr 22 — Easter Break
  ¤ No classes.
  
  
• Wednesday, Apr 23 — Happy 450th Birthday to Shakespeare...
  ¤ WeBWorK Homework 1120.05 (due Wednesday, 4/30, by class)
  
  
• Friday, Apr 25
  ¤ ¡Test 3 is today! (Test 3 Topics list)
     Remember, we meet in the classroom for the test, not in the computer lab.
  
  

Week 15

• Monday, Apr 28
  ◊ Chapters 6 & 7
  
  
• Tuesday, Apr 29
  ◊ Chapters 8 & 9
  
  
• Wednesday, Apr 30
  ◊ Chapters 10 & 11
  ¤ WeBWorK Homework 1120.05 due today.
  
  
• Friday, May 2
  ◊ Optional Quiz
  ¤ Last day of classes.
  
  

Week 16    ♞  (This Week)

• Monday, May 5
  ◊ Final Exam from 3:00 PM - 5:30 PM
  • Test 1 Topics list
  • Test 2 Topics list
  • Test 3 Topics list
  • Blank copies of our quizzes and tests.
    Sample random number set: \( P=3, \ Q=5, \ R=8, \ S=6 \)
  
  

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“On two occasions I have been asked, ‘Pray, Mr. Babbage, if you put into the machine wrong figures, will the right answers come out?’ I am not able rightly to apprehend the kind of confusion of ideas that could provoke such a question.”

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