Readings and homework

Here are the assigned readings and exercises (Reading 1, Reading 2, Reading 3, Reading 4, Reading 5, Reading 6, Reading 7, Reading 8, Reading 9, Reading 10, Reading 11, Reading 12, Reading 13, Reading 14, Reading 15, Reading 16, Reading 17):

1. Introduction:
   • Date assigned: July 11 Monday.
   • Date due: July 12 Tuesday.
   • Reading:
     • Section 1.1: pages 2–7;
     • my online introduction;
     • review Chapters 1–5 if you need to.
   • Problems due from §1.1 (pages 7&8): 3–6.
2. Basic factoring:
   • Date assigned: July 12 Tuesday.
   • Date due: July 13 Wednesday.
   • Reading:
     • most of Section 6.1: pages 368–372;
     • my online factoring overview.
   • Problems due from §6.1: Exercises 1, 2, and 3 (all on page 369).
3. Squares and square roots:
   • Date assigned: July 13 Wednesday.
   • Date due: July 14 Thursday.
   • Reading:
     • from Section 6.4: subsection 1 (pages 395–397);
     • all of Section 9.1: pages 615–618.
   • Problems due:
     • from §6.4: Exercise 2 (on page 396);
     • from §9.1: Exercises 2 and 3 (both on page 616).
4. More roots:
   • Date assigned: July 14 Thursday.
   • Date due: July 18 Monday.
   • Reading:
     • Section 9.2: pages 620–625;
     • my online notes on roots;
     • Section 9.4: pages 633–640.
   • Problems due:
     • from §9.2: Exercises 1 (on page 621) and 14 (on page 623);
     • under which of the following conditions is ⁿ√b (the principal nth root of b) defined (as a real number):
       1. when n is even and b is positive,
       2. when n is even and b is negative,
       3. when n is odd and b is positive,
       4. when n is odd and b is negative?
       (ⁿ√b is defined under more than one of these conditions, so list all of them that work);
     • from §9.4: Exercise 1 (on page 634).
5. Arithmetic with roots:
   • Date assigned: July 18 Monday.
   • Date due: July 19 Tuesday.
   • Reading:
     • Section 9.3: pages 628–632;
     • my online notes on simplifying roots;
     • Section 9.5: pages 643–647.
   • Problems due:
     • Look at the Power Rule given on page 628 of the textbook, and check it when a = −1, r = 2, and s = 1/2. You should find that this rule is wrong: both sides of the equation in the rule are defined, but they are not equal!
     • From §9.5: Exercise 1 (page 644).
6. More roots:
   • Date assigned: July 20 Wednesday.
   • Date due: July 21 Thursday.
   • Reading:
     • Section 9.6 (pages 649–653);
     • Section 9.9 (pages 670–678).
   • Problems due:
     • from §9.6: Exercises 2 (page 650) and 9 (page 652);
     • from §9.9: Exercise 3 (page 672);
     • fill in the blank: i² = ____.
7. Solving quadratic equations:
   • Date assigned: July 21 Thursday.
   • Date due: July 22 Friday.
   • Reading:
     • Section 10.1 (pages 690–699);
     • my online notes on solving quadratic equations;
     • Section 10.2 (pages 702–712);
     • my online notes on classifying solutions to quadratic equations.
   • Problems due:
     • from §10.1: Exercise 1 (page 692);
     • from §10.2: Exercises 1 (page 704) and 9 (page 708).
8. Factoring:
   • Date assigned: July 22 Friday.
   • Date due: July 25 Monday.
   • Reading:
     • from Section 6.1: subsection 3 (pages 373–375);
     • Section 6.2 (pages 377–383);
     • Section 6.3 (pages 385–393);
     • from Section 6.4: subsections 2 and 3 (pages 397–400);
     • Section 6.5 (pages 402–406);
     • my online summary of factoring techniques.
   • Problems due:
     • from §6.2: Exercise 2 (page 378);
     • from §6.3: Exercise 2 (page 387);
     • from §6.4: Exercises 12 (page 398) and 23 (page 400).
9. Solving by factoring:
   • Date assigned: July 26 Tuesday.
   • Date due: July 27 Wednesday.
   • Reading:
     • Section 6.6 (pages 408–414);
     • my online notes on solving equations by factoring.
   • Problems due: from §6.6: Exercises 1 and 2 (page 409).
10. Fancy equations:
    • Date assigned: July 27 Wednesday.
    • Date due: July 28 Thursday.
    • Reading:
      • Section 9.8 (pages 662–667);
      • Section 10.3 (pages 716–720).
    • Problems due:
      • from §9.8: Exercise 2 (page 663);
      • from §10.3: Exercises 2 and 4 (both page 717).
11. Word problems:
    • Date assigned: July 28 Thursday.
    • Date due: July 29 Friday.
    • Reading: Section 6.7 (pages 417–421).
    • Problems due:
      1. Pythagorean Theorem: If a, b, and c are the lengths of the sides of a right triangle, with c the length of the side opposite the right angle, then what equation holds between a, b, and c?
      2. If x² = 4, where x is the length of a road in miles, then what is the length of the road?
12. Rational expressions:
    • Date assigned: July 29 Friday.
    • Date due: August 1 Monday.
    • Reading:
      • Section 7.1 (pages 432–438);
      • Section 7.2 (pages 440–445).
    • Problems due:
      • from §7.1: Exercises 1 (page 433) and 6 (page 435);
      • fill in the blank: to divide by a rational expression, multiply by its _____.
13. Arithmetic on rational expressions:
    • Date assigned: August 2 Tuesday.
    • Date due: August 3 Wednesday.
    • Reading:
      • Section 7.3 (pages 448–452);
      • Section 7.4 (pages 455–459);
      • Section 7.5 (pages 462–469).
    • Problems due:
      • from §7.3: Exercise 1 (page 449);
      • from §7.5: Exercise 1 (page 463).
14. Rational equations:
    • Date assigned: August 3 Wednesday.
    • Date due: August 4 Thursday.
    • Reading:
      • Section 7.6 (pages 472–477);
      • Section 7.7 (pages 480–489);
      • my online notes on rational expressions.
    • Problems due:
      • from §7.6: Exercise 5 (page 475);
      • from §7.7: Exercises 1 (page 483) and 7 (page 485).
15. Word problems with division:
    • Date assigned: August 4 Thursday.
    • Date due: August 5 Friday.
    • Reading: Section 7.8 (pages 492–501).
    • Problems due: from §7.8: Exercises 2 (page 493), 7 (page 496), and 10 (page 498).
16. Functions:
    • Date assigned: August 5 Friday.
    • Date due: August 9 Tuesday.
    • Reading:
      • Section 8.1 (pages 521–528);
      • Section 8.2 (pages 531–535);
      • Section 8.3 (pages 538–546);
      • Section 8.4 (pages 549–555).
    • Problems due:
      • from §8.1: Exercises 1 (page 522) and 13 (page 526);
      • from §8.2: Exercise 4 (page 533);
      • from §8.3: Exercise 1 (page 540);
      • from §8.4: Exercise 7 (page 552).
17. Extra credit: Quadratic functions:
    • Date assigned: August 10 Wednesday.
    • Date due: August 11 Thursday.
    • Reading:
      • Section 8.5 (pages 560–568);
      • Section 10.4 (pages 724–733);
      • Section 10.5 (pages 736–746);
      • my online notes on quadratic functions.
    • Problems due:
      • from §10.4: Exercise 1 (page 726);
      • from §10.5: Exercises 1 and 2 (both page 739).

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