MAT 2240 — §101, Fall '14 (144)

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

• Wednesday, Aug 20
  ◊ Watch the WeBWorK tutorial video
  ◊ Read §1.1.
  §1.1. Pg 10; #1, 2, 17.
  
  
• Friday, Aug 22
  §1.1. Pg 10; #6, 11, 15, 29, 31, 33, 34.
  ◊ Read §1.2.
  
  

Week 2

• Monday, Aug 25
  §1.2. Pg 21; #1, 3, 9, 13, 19, 21, 29, 33.
  
  
• Wednesday, Aug 27
  ◊ WeBWorK Hmwk_01 (due Wed, 9/3/14 by 5:00 pm)
  §1.3. Pg 32; #1, 3, 5, 9, 11, 15, 21, 26, LA 28 ("LA" is "Look at").
  
  
• Friday, Aug 29
  ¡Quiz next Friday!
  §1.3. Pg 32; #13, 19.
  
  

Week 3

• Monday, Sept 1 — Labor Day holiday; no classes
  
  
• Wednesday, Sept 3
  §1.4. Pg 40; #1→4, 5, 13, 15, 17, 21, 25, 37.
  
  
• Friday, Sept 5
  ¡Quiz today!
  §1.5. Pg 47; #1, 3, 5, 13, 15, 21.
  
  

Week 4

• Monday, Sept 8
  §1.5. Pg 47; #17, 23, 33, 35.
  §1.6. Pg 54; #1.
  
  
• Wednesday, Sept 10
  ◊ WeBWorK Hmwk_02 (due Wed, 9/17/14 by 5:00 pm)
  §1.7. Pg 60; #1, 3, 5, 9, 11, 15, 17, 31, 33, 35, 41.
  
  
• Friday, Sept 12
  ¡It's time to think about our first midterm! — two weeks from today.
  §1.8. Pg 68; #1, 3, 7, 8, 9, 11, 16, 20.
  
  

Week 5

• Monday, Sept 15
  §1.8. Pg 68; #2, 5, 11, 14, 15, 17, 27, 33, 37.
  
  
• Wednesday, Sept 17
  §1.9. Pg 78; #1, 3, 5, 15, 21.
  
  
• Friday, Sept 19 — Arrrrgh!
  ¡Our first midterm is a week from today!
  §1.9. Pg 78; #11, 13, 16, 17, 25, 27, 40.
  ◊ Read over §1.10.
  
  

Week 6

• Monday, Sept 22
  ☝ Today: Summer
       Tomorrow: Fall
  §2.1. Pg 100; #1, 3, 7, 9, 11, 17, 27, 37 (Maple: RandomMatrix(4,4, generator=rand(-5..5)) ), 40, 41.
  
  
• Wednesday, Sept 24
  ◊ For Monday: §2.2. Pg 109; #1, 3, 5, 7b, 8, 19, 21, 33 (Maple: \(A\) inverse is A\(^{-1}\))
  
  
• Friday, Sept 26
  ◊ Test I is today — A chance to demonstrate your excellence!
  • You can bring one 8½"×11½" sheet of notes.
  • You can bring a calculator; check the batteries!
  ¤ Test I Topics List
  
  

Week 7

• Monday, Sept 29
  ◊ Maple Project 1: Exchange Economy and Homogeneous Systems. Report is due Monday, Oct. 6.
  §2.3. Pg 114; #1→9 odd, 13, 15, 17, 37, 45
         For #45: Enter the following in Maple (copy/paste):
           interface(rtablesize=20):     (to see large matrices)
           H:=LinearAlgebra[HilbertMatrix](15);
           T:=time(): Hi:=H\(^{-1}\); (time()-T)*seconds;
         If you have access, try the same computation in Matlab, Sage, PockectCAS, or TI-Nspire. (The commands will be different.)
  
  
• Wednesday, Oct 1
  §2.4. Pg 121; #1→ 4, 7, 13, Look at 15.
  
  
• Friday, Oct 3
  §2.5. Pg 129; #1, 3, 13.
  ◊ Extra for Experts:
  • #23: Rank Factorization
  • #24: \(QR\) Factorization (Maple: QRDecomposition(A))
  • #25: SVD Decomposition (Maple: SingularValues(A))
  • #26: Spectral Factorization
  • Maple's \(LU\) factorizor: LUDecomposition(A)
  
  

Week 8

• Monday, Oct 6
  ◊ Your Maple Project I report is due today by 5:00 pm. You can email one copy of your report for the group. Make sure to list all three names on your report.
  §2.8. Pg 151; #1→ 4, 5, 7c, 9, 13 →19 odd.
  
  
• Wednesday, Oct 8
  ◊ WeBWorK Hmwk_03 (due Wed, 10/15/14 by 5:00 pm)
  §2.8. Pg 151; #21, 22, 23, 25, 29.
  
  
• Friday, Oct 10
  §2.8. Pg 151; #31, 33, 35, 37.
  
  

Week 9

• Monday, Oct 13 — ¡Friday the 13th comes on a Monday!
  §2.9. Pg 157; #1, 3, 5, 9, 13, 15, 18.
  
  • Consider the linear transformation \(D_3:\mathbb{R}^3\to\mathbb{R}^3\) given by \[ D_3\big(\vec{p}\big) = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 2 \\ 0 & 0 & 0 \end{bmatrix}\cdot\vec{p} \] Using the fact that \(\mathbb{R}^3\approx\mathbb{P}^2\!\) via \((a,b,c)\mapsto a+bx+cx^2\), find a standard operation on polynomials equivalent to \(D\).
  • Do the same for \(D_4:\mathbb{R}^4\to\mathbb{R}^4\) given by \[ D_4\big(\vec{p}\big) = \begin{bmatrix} 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 3 \\ 0 & 0 & 0 & 0 \end{bmatrix}\cdot\vec{p}? \]
  
  
• Wednesday, Oct 15
  ¡Quiz next Friday!
  
  
• Friday, Oct 10
  ¤ No classes Oct 9 & 10 — Fall Break.
  ◊ “Let's be careful out there!” — Sgt. Esterhaus
  
  

Week 10

• Monday, Oct 20
  §3.1. Pg 167; #1, 3, 5, 9, 11, 13, 37, 45.
  
  
• Wednesday, Oct 22
  §3.2. Pg 175; #1→ 4, 7, 10, 15, 19, 26.
  
  
• Friday, Oct 24
  ¡Quiz today!
  ◊ Read §4.1.
  ¤ Early voting is open in the Student Union — Vote!
  
  

Week 11

• Monday, Oct 27
  §4.1. Pg 196; #1→ 9 odd, 13, 15, 17, 20, 27, 33 (compare \(H+K\) to \(H\cup K\)).
          ¤ Note:     \(H\cap K \subseteq (H \text{ or } K) \subseteq H\cup K \subseteq H+K \)
  
  
• Wednesday, Oct 29
  ¤ Optional Extra Credit Group Problem (Group of 2)
  §4.2. Pg 205; #1, 3, 5, 13, 15, 17, 25, 34.
  
  
• Friday, Oct 31
  ¡No formal class today — either work on the extra credit project or study for the test.
  ¡Test next Friday!
  
  

Week 12

• Monday, Nov 3
  §4.3. Pg 213; #1→ 13 odd.
  
  
• Tuesday, Nov 4 — Election Day
  ¡Vote!
  
  
• Wednesday, Nov 5
  ¤ Review for the test!
  
  • Chapter 2 Supplemental Problems: pg 160.
  • Chapter 3 Supplemental Problems: pg 185.
  • Chapter 4 Supplemental Problems: pg 262.
  
  
• Friday, Nov 7
  ◊ Test II is today — A chance to demonstrate your excellence!
  • You can bring two 8½"×11½" sheets of notes.
  • You can bring a calculator; check the batteries!
  ¤ Test II Topics List
  
  

Week 13

• Monday, Nov 10
  §4.9. Pg 261; #3, 4, 5, 7, 13, 15.
  
  
• Wednesday, Nov 12
  §5.1. Pg 271; #1, 3, 5, 7, 16, 19, 21, 40.
  
  
• Friday, Nov 14
  ¡Quiz next Friday!
  
  

Week 14

• Monday, Nov 17
  ◊ WeBWorK Hmwk_04 (due Mon, 11/24/14 by 5:00 pm)
  §5.2. Pg 279; #1→11 odd, 15, 17, 18, 19, 28.
  
  
• Wednesday, Nov 19
  §5.2. Pg 279; #29, 30.
  ◊ Read §5.3.
  
  
• Friday, Nov 21
  ¡Quiz Today!
  §5.3. Pg 286; #1, 5, 11, 13, 36.
  
  

Week 15

• Monday, Nov 24
  ◊ WeBWorK Hmwk_04 is due today by 5:00 pm
  §5.8. Pg 324; #1, 7, 19a.
  
  
• Wednesday, Nov 26 — no class; Thanksgiving Holidays
  
  
• Friday, Nov 28 — no class; Thanksgiving Holidays
  
  

Week 16    ♞  (This Week)

• Monday, Dec 1
  ¤ Test I Topics List
  → Chapter 1 Supplemental Problems: pg 88.
  → Chapter 2 Supplemental Problems: pg 160.
  
  
• Wednesday, Dec 3
  ¤ Test II Topics List
  → Chapter 3 Supplemental Problems: pg 185.
  → Chapter 4 Supplemental Problems: pg 262.
  
  
• Friday, Dec 5
  ¤ Test FE Topics List
  → Chapter 5 Supplemental Problems: pg 326.
  → Review sheets and practice exams from the publisher.
  
  

Final Exams

• Monday, Dec 8
  ♦ §102 (1 pm class): 9:00 am - 11:30 am
  
  
• Tuesday, Dec 9
  ♦ §101 (9 am class): 3:00 pm - 5:30 pm
  
  
• The final is the last chance to demonstrate your excellence!
  • You can bring any notes — no books!
  • You can use a calculator — check the batteries!

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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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