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):

1. Introduction and review:
   • Date assigned: October 4 Wednesday.
   • Date due: October 9 Monday.
   • Reading (skim or review):
     • Section 1.1 (pages 2–7);
     • Section 6.5 (pages 403–407);
     • Section 7.1 (pages 433–439);
     • Section 7.2 (pages 441–446);
     • Section 7.3 (pages 449–453).
   • Exercises due:
     • from §6.1: Quick Check exercise 2 (on page 370);
     • from §7.1: Quick Check exercise 1 (page 434).
2. Adding rational expressions:
   • Date assigned: October 9 Monday.
   • Date due: October 11 Wednesday.
   • Reading:
     • Section 7.4 (pages 456–460);
     • Section 7.5 (pages 463–470);
     • my online notes on rational expressions.
   • Exercises due:
     • from §7.4: Exercise 1 (page 457);
     • from §7.5: Exercise 1 (page 464).
3. Rational equations:
   • Date assigned: October 11 Wednesday.
   • Date due: October 16 Monday.
   • Reading:
     • Section 7.6 (pages 473–478);
     • Section 7.7 (pages 481–490);
     • from Section 7.8: the beginning of subsection 1 (pages 493&494);
     • my online notes on rational equations.
   • Exercises due:
     • from §7.6: Exercise 1 (page 474);
     • from §7.7: Exercises 1 (page 483) and 7 (page 486);
     • from §7.8: Exercise 2 (page 494).
4. Word problems with division:
   • Date assigned: October 16 Monday.
   • Date due: October 18 Wednesday.
   • Reading: the rest of Section 7.8 (pages 494–502).
   • Exercises due: from §7.8: 7 (page 497), and 10 (page 499).
5. Systems of equations:
   • Date assigned: October 18 Wednesday.
   • Date due: October 23 Monday.
   • Reading:
     • Section 4.1 (pages 249–257);
     • Section 4.2 (pages 260–265);
     • Section 4.3 (pages 268–273);
     • my online notes on systems of equations.
   • Exercises due:
     • from §4.1: Quick Check exercises 9, 10, and 11 (all page 255).
6. Word problems with multiple variables:
   • Date assigned: October 23 Monday.
   • Date due: October 25 Wednesday.
   • Reading:
     • from Section 4.4: all except Example 3 (from page 277 through Example 2 on page 279, Subsection 3 on pages 281&282);
     • Section 4.5 (pages 284–291).
   • Exercises due:
     • from §4.4: Quick Check exercise 7 (page 282);
     • from §4.5: Quick Check exercise 4 (page 288).
7. Roots:
   • Date assigned: October 25 Wendesday.
   • Date due: October 30 Monday.
   • Reading:
     • from Section 9.1:
       • review the introduction and subsections 1&2 (pages 616–618);
       • read subsection 3 (page 619).
     • Section 9.2 (pages 620–626);
     • my online notes on roots;
     • Section 9.4 (pages 634–641).
   • Exercises due:
     • from §9.1: Quick Check exercise 18 (page 619);
     • from §9.2: Quick Check 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 635).
8. Arithmetic with roots:
   • Date assigned: October 30 Monday.
   • Date due: November 1 Wednesday.
   • Reading:
     • My online notes on simplifying roots;
     • optional: Section 9.3 (pages 628–632);
     • Section 9.5 (pages 643–647);
     • Section 9.6 (pages 649–653).
   • Exercises due:
     • Look at the Power Rule given on page 629 of the textbook, and check it when a = −1, r = 2, and s = 1/2. You should find that this rule is wrong: although both sides of the equation in the rule are defined, they are not equal!
     • From §9.5: Quick Check exercise 1 (page 644);
     • from §9.6: Quick Check exercises 2 (page 650) and 9 (page 652).
9. Complex numbers:
   • Date assigned: November 1 Wednesday.
   • Date due: November 6 Monday.
   • Reading:
     • Section 9.9 (pages 670–678).
   • Exercises due:
     • fill in the blank: i² = ____;
     • from §9.9: Quick-check exercises 2&3 (page 672).
10. Compound inequalities and absolute value:
    • Date assigned: November 6 Monday.
    • Date due: November 8 Wednesday.
    • Reading:
      • review Section 8.6 (pages 574–581);
      • skim my online notes on inequalities;
      • skim Section 8.7 (pages 584–592);
      • read my online notes on absolute-value problems.
    • Exercises due:
      • which of these statements are always true and which are always false?
        1. x ≤ 4 and x > 5,
        2. x ≥ 2 or x < 3,
        3. 7 ≤ x < 6;
      • from §8.7: Quick Check exercises 4 (page 586), 13 (page 587), 18 (page 588), and 30 (page 590).
11. Solving quadratic equations:
    • Date assigned: November 8 Wednesday.
    • Date due: November 13 Monday.
    • 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.
    • Exercises due:
      • from §10.1: Exercise 1 (page 692);
      • from §10.2: Exercises 1 (page 704) and 9 (page 708).
12. Fancy equations:
    • Date assigned: November 13 Monday.
    • Date due: November 15 Wednesday.
    • Reading:
      • Section 9.8 (pages 662–667);
      • Section 10.3 (pages 716–720).
    • Exercises due:
      • from §9.8: Exercise 2 (page 663);
      • from §10.3: Exercises 2 and 4 (both page 717).
13. Word problems:
    • Date assigned: November 15 Wednesday.
    • Date due: November 20 Monday.
    • Reading: Section 6.7 (pages 417–421).
    • Exercises 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?
14. Relations:
    • Date assigned: November 20 Monday.
    • Date due: November 27 Monday.
    • Reading:
      • Section 8.1 (pages 521–528);
      • Section 8.2 (pages 531–535).
    • Exercises due:
      • from §8.1: Exercises 1 (page 522) and 13 (page 526);
      • from §8.2: Exercise 4 (page 533).
15. Functions:
    • Date assigned: November 27 Monday.
    • Date due: November 29 Wednesday.
    • Reading:
      • Section 8.3 (pages 538–546);
      • Section 8.4 (pages 549–555).
    • Exercises due:
      • from §8.3: Exercise 1 (page 540);
      • from §8.4: Exercise 7 (page 552).
16. Quadratic functions:
    • Date assigned: November 29 Wednesday.
    • Date due: December 4 Monday.
    • Reading:
      • Skim Section 8.5 (pages 560–568);
      • Read Section 10.4 (pages 724–733);
      • Read Section 10.5 (pages 736–746);
      • my online notes on quadratic functions.
    • Exercises due:
      • from §10.4: Exercise 1 (page 726);
      • from §10.5: Exercises 1 and 2 (both page 739).

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