Calculus I, Spring '13

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.'

¤ Remember - the Math Lab (in 303a Walker) is open for business Monday → Thursday:

Mon	Tues	Wed	Thur
2:00 → 5:00	3:30 → 6:30	2:00 → 5:00	3:30 → 6:30

You can check the ASU Snow Line at 262-SNOW (7669) for school delays and cancellations.

(If you see a "No jsMath TeX fonts found" error box at the top of this page, click the Hide this Message button in the error box.)

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Week 1

• Monday, Jan 14 - First day of class
  §1.1, No 1 → 10, 11, 13, 15, 19, 21, 25, 26, 27
  
  
• Tuesday, Jan 15
  §1.2, No 1 → 15, 27, 33, 47 → 51, 53, 55, 57, 58, 64
  ◊ Check out the Animated Library of Functions pages.
  
  
• Wednesday, Jan 16
  §1.3, No 1 → 11, 13 → 39 odd, 40, 41, 47, 48
  
  
• Friday, Jan 18 - Last day to drop/add a class is now Friday, Jan 25.
  ¤ The first quiz is next Friday
  ¤ We do have class today!
  §1.4, No 1 → 50 (every other odd), 51, 52, 53 (cf. Newton's Law of Cooling), 55, 59, 61, 63
  
  

Week 2

• Monday, Jan 21 —
  ◊ No class today — Martin Luther King, Jr, Day
  
  
• Tuesday, Jan 22
  §1.4, No 3 → 49 (every other odd), 54, 56, 60, 62, 64
  
  
• Wednesday, Jan 23
  §1.5, No 1 → 27 odd, 33, 36, 39, 43, 55
  ¤ How to plot derivatives with a TI calculator
  
  
• Friday, Jan 25 - Last day to drop/add a class
  ❄ No class today — classes are cancelled starting at noon today due to inclement weather ❶
  ◊ Today's quiz is moved to Monday. More time to study...
  
  

Week 3

• Monday, Jan 28
  ◊ ¡Quiz today!
      An old problem set showing typical style questions.
  
  
• Tuesday, Jan 29
  §1.6, No 1 → 36 odd
  
  
• Wednesday, Jan 30
  §1.7, No 1 → 29 odd, 33, 34, 38, 43
  
  
• Friday, Feb 1
  ☝ It's getting to be time for a midterm exam!
  §1.S, (pg 73) No 1 → 49 odd
  
  

Week 4

• Monday, Feb 4
  §2.1, No 1 → 17 odd, 23, 29, 31, 37, 40, 41, 43, 47, 49
  
  
• Tuesday, Feb 5
  §2.2, No 1 → 43 odd, 44, 47, 49, 50, 56, 63, 69
  
  
• Wednesday, Feb 6
  §2.2, No 2 → 40 even, 51, 53, 64
  
  
• Friday, Feb 8
  ☞ Test 1 is today!   —   Test 2 should be in Week 8.
  ◊ You can bring:
  • a calculator — Check your batteries!
  • one 8.5"\(\times\)11" sheet of paper with notes.
  ¤ For Monday: Which problem on the exam was the hardest and why?
  
  

Week 5

• Monday, Feb 11
  §2.3, No 1 → 55 odd, 63, 65
  
  
• Tuesday, Feb 12
  §2.3, No 2 → 50 even
  
  
• Wednesday, Feb 13
  §2.3: Make sure you've done it!
  
  
• Friday, Feb 15
  ◊ ¡We need a quiz today!
  §2.4, No 1 → 20 odd
  
  

Week 6

• Monday, Feb 18
  §2.6, No 1 → 13 odd, 15, 16, 19, 32, 35, 39, 43, 49, 51, 57, 63, 69
  
  
• Tuesday, Feb 19
  §2.7, No 1 → 23, 34, 35, 45, 48, 53, 62, 67
  
  
• Wednesday, Feb 20
  ¤ Derivative In-Class Problems
  §2.S (pg 150), No 1 → 13 odd, 21 → 29 odd, 35, 47, 53 → 56
  
  
• Friday, Feb 22
  §3.1, No 1 → 41 (every other odd)
  
  

Week 7

• Monday, Feb 25
  §3.2, No 1 → 47 odd
  
  
• Tuesday, Feb 26
  ¤ The odd problems on the Derivative Problem Set
  
  
• Wednesday, Feb 27
  §3.2, No 2 → 46 even
  
  
• Friday, Mar 1
  ➩ Today we'll meet in \(\fbox{106 Walker Hall}\) (We have a set of visitors.)
  ☞ ¡Quiz today — another chance to demonstrate your excellence!
  §3.3, No 1 → 7 odd, 9 → 13, 17, 23, 28.
  
  

Week 8

• Monday, Mar 4
  §3.4, No 1, 3, 5, 8, 9, 19, 21, 29
  
  
• Tuesday, Mar 5
  ◊ Derivative Rules
  §3.5, No 1 → 77 odd
  
  
• Wednesday, Mar 6
  ❄ No class today — all classes are cancelled again! ❷
  
  • We have been focusing on computing derivatives and using the Chain Rule; the "review sheet" I was planning for today was simply the two Derivative Rules pages. The test is mainly asking the question, "Can you find derivatives?" You should be ready to answer an emphatic, "Yes!" Remember the different notations and what they mean: \[ \frac{dy}{dx},\quad \frac{d}{dx}y,\quad y^{\prime},\quad \frac{d^2y}{dx^2},\quad y^{\prime\prime}, \quad \frac{d}{dx}f(x),\quad f^\prime(2),\quad \text{ &c.} \]
  • Here's an old Sample Test from a semester that didn't have "snow days" (so it covers a little more than we have; "linear aproximator" = tangent line).
  
  
• Friday, Mar 8
  ☞ ¡Test today — last chance to demonstrate your excellence before Spring Break!
  ◊ You can bring:
  • a calculator — Check your batteries!
  • two 8.5"\(\times\)11" sheets of paper with notes.
  
  

— Spring Break — “Let's be careful out there!”

• Monday, Mar 11
• Tuesday, Mar 12
• Wednesday, Mar 13
• Friday, Mar 15
  
  

Week 9

• Monday, Mar 18
  §4.1, No 2, 3, 7 → 14, 17; 21, 23, 27, 30, 31.
  
  
• Tuesday, Mar 19
  §4.3, No 1 → 31 every other odd
  
  
• Wednesday, Mar 20
  §4.3, No 3 → 33 every other odd
  
  
• Friday, Mar 22
  §4.5, No 13, 14, 16, 17, 19, 20, 21, 26, 27
  ☝ Group Project, due Tuesday, March 26.
  
  • Work the Euler's Method project.
  • Choose a partner; you will turn in one report for the two of you.
  
  

Week 10

• Monday, Mar 25 — Last day to drop a class.
  ◊ Project Day!
     No formal class today; work on writing up your project report. (English and grammar matter!)
  
  
• Tuesday, Mar 26
  ☝ Remember, your Group Project report is due today by 5:00 pm.
  §4.5, No 24
  
  
• Wednesday, Mar 27
  §4.6, No 1 → 11 odd, 14, 15, 17, 21
  
  
• Friday, Mar 29
  ◊ Quiz next Friday!
  §4.4, No 1, 3, 5, 10, 11, 13, 17
  
  

Week 11

• Monday, Apr 1
  No classes — «State holiday»
  
  
• Tuesday, Apr 2
  No classes — «State holiday»
  
  
• Wednesday, Apr 3
  §4.7, No 1 → 19 odd
  
  
• Friday, Apr 5
  ◊ Quiz today! The quiz covers §4.3 and §4.5.
  §4.7, No 23, 33 — (These are good test questions. Is it time for another test?)
  
  

Week 12

• Monday, Apr 8
  ◊ The error in using an \(n\)th degree Taylor polynomial \(T_n(x)\) centered at \(x=c\) to approximate a function \(f(x)\) can be bounded by the expression \[ error = \left|\,f(x) - T_n(x)\right| \le \frac{1}{(n+1)!}\cdot M_{n+1}\cdot |x-c|^{n+1} \] where \(M_{n+1} \ge \max \left|\, f^{(n+1)}(t)\right|\) for all \(t\) between \(c\) and \(x\).
   
  Find the error in using quadratic Taylor approximations to:
   
  1. \(f(x) = \sin(x^2)\) with \(c=0\).
      
  2. \(f(x) = \arctan(x)\) with \(c=0\).
      
  3. \(f(x) = \ln(x)\) with \(c=1\).
  
  
• Tuesday, Apr 9
  ¤ The Optimization/Related Rates problem sheet.
  
  
• Wednesday, Apr 10
  ¤ The rest of the Optimization/Related Rates problem sheet.
  
  
• Friday, Apr 12
  ¤ Start working on your 3 sheets of notes for next Friday's exam!
  
  

Week 13

• Monday, Apr 15
  §4.8, No 1 → 6, 7, 9, 12, 17.
  
  
• Tuesday, Apr 16
  §4.9, No 1 → 7, 9, 15, 17, 24 → 27.
  
  
• Wednesday, Apr 17
  ¤ Study for the test!
  ◊ Carefully go through the Chapter Summary on pg 288.
  
  
• Friday, Apr 19
  ◊ ¡Test today!
  
  

Week 14

• Monday, Apr 22
  §5.1, No 1 → 11 odd, 17, 19, 21, 31, 37
  
  
• Tuesday, Apr 23
  §5.2, No 1 → 37every other odd, 39, 51, 61, 63.
  
  
• Wednesday, Apr 24
  §5.3, No 1 → 29 odd, 33, 35, 43, 55, 61
  
  
• Friday, Apr 26
  ◊ ¡Quiz today!
  §5.4, No 1 → 13 odd; 21 → 63 every other odd
  
  

Week 15   ♞  (This Week)

• Monday, Apr 29
  ¤ Chap 1 review
  ¤ Chap 2 review
  ◊ Start studying the Sample Final Exam now!
  
  
• Tuesday, Apr 30
  ¤ Chap 3 review
  ¤ Chap 4 review
  
  
• Wednesday, May 1
  ¤ Chap 5 review
  
  
• Friday, May 3
  ¤ Review everything!
  ◊ ¡Special quiz today!
  ◊ Here are copies of all our ☞ Quizzes and Tests
  

Week 16   —  Final Exams

• Tuesday, May 7,  3:00 pm to 5:30 pm
  ◊ The exam is comprehensive. You can bring a calculator (Check the batteries!) and any notes, but no books.
  
  

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Last modified: Wednesday, 01-Feb-2023 08:32:12 EST

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