# Readings and homework

I will assign readings listed below. Most readings will have associated exercises due in class the next day. Unless otherwise specified, all readings and exercises are from the 10th Edition of Algebra and Trigonometry written by Sullivan and published by Prentice-Hall (Pearson).

1. Introduction and review:
• Date assigned: August 15 Monday.
• Date due: August 16 Tuesday.
• My online introduction;
• Skim Chapter R (except Section R.6) and Chapter 1 (except Section 1.6) and review anything that you are shaky on.
• Problems due:
1. Which of the following are equations?
1. 2x + y;
2. 2x + y = 0;
3. z = 2x + y.
2. You probably don't know how to solve the equation x5 + 2x = 1, but show what numerical calculation you make to check whether x = 1 is a solution.
3. Write the set {x | x < 3} in interval notation and draw a graph of the set.
4. Suppose that ax2 + bx + c = 0 but a ≠ 0; write down a formula for x.
2. Graphing:
• Date assigned: August 16 Tuesday.
• Date due: August 17 Wednesday.
• Problems due:
• From §2.1 (page 154): 2, 3, 8;
• From §2.2 (page 164): 3, 5.
3. Linear equations:
• Date assigned: August 17 Wednesday.
• Date due: August 18 Thursday.
• Section 2.3 (pages 167–177);
• My online notes on lines;
• Section 12.1 (pages 844–854);
• My online notes on systems of equations.
• Problems due:
• From §2.3 (page 178): 1, 7, 8;
• From §12.1 (page 854): 3, 5.
4. Functions:
• Date assigned: August 18 Thursday.
• Date due: August 19 Friday.
• Section 3.1 (pages 199–210);
• Most of Section 3.2 (pages 214–218), but you may skip parts D and E of Example 4;
• My online notes on functions.
• Problems due:
• From §3.1 (page 210): 9, 10, 15;
• From §3.2 (page 218): 3, 4, 10.
5. Properties of functions:
• Date assigned: August 19 Friday.
• Date due: August 22 Monday.
• Section 3.3 (pages 223–231);
• The definition of ‘real zero’ on page 327;
• The definition of ‘linear function’ on page 274;
• The theorem on rates of change of linear functions on page 275;
• My online notes on properties of functions.
• Problems due:
• From §3.3 (page 232): 6, 7;
• Additional problem: Fill in the blank with a vocabulary word: If c is a real number and f is a function, and if f(c) = 0, then c is a ___ of f.
6. Word problems:
• Date assigned: August 23 Tuesday.
• Date due: August 24 Wednesday.
• Most of Section 3.6: pages 260–262 (but you may skip the parts about graphing calculators);
• My online notes on functions in word problems.
• Problem due: Suppose that you have a problem with three quantities, A, B, and C; and suppose that you have two equations, equation (1) involving A and B, and equation (2) involving B and C. If you wish to find A as a function of C, then which equation should you solve first, and which variable should you solve it for? (Although there is a single best answer in my opinion, there is more than one answer that will progress the solution, and I'll accept any of them.)
7. Examples of functions:
• Date assigned: August 24 Wednesday.
• Date due: August 25 Thursday.
• Section 4.1 (pages 274–280);
• Section 3.4, Library of functions (pages 237–241);
• My online notes on partial functions;
• Section 3.4, Piecewise-defined functions (pages 242&243).
• Problems due:
• Identify which of the following functions are linear:
1. f(x) = 3x − 2;
2. g(x) = 3/x + 2;
3. h(x) = 3/2.
• From §3.4 (pages 244–247): 4, 5, 9.
8. Composite and inverse functions:
• Date assigned: August 25 Thursday.
• Date due: August 26 Friday.
• Problems due:
• From §6.1 (pages 408–410): 4, 6.
• From §6.2 (pages 419–423): 6, 11
9. Coordinate transformations:
• Date assigned: August 26 Friday.
• Date due: August 29 Monday.
• Problems due from §3.5 (pages 256–260): 1, 2.
• Date assigned: August 30 Tuesday.
• Date due: August 31 Wednesday.
• Problems due:
• From §4.3 (pages 299–302): 5, 7, 11;
• Additional problem: If you make and sell x items per year at a price of p dollars per item, then what is your revenue (in dollars per year)?
11. Exponential and logarithmic functions:
• Date assigned: August 31 Wednesday.
• Date due: September 1 Thursday.
• Problems due:
• From §6.3 (pages 434–439): 7, 11;
• From §6.4 (pages 448–452): 4, 6.
12. Properties of logarithms:
• Date assigned: September 1 Thursday.
• Date due: September 2 Friday.
• Section 6.5 (pages 452–458);
• My online notes on laws of logarithms;
• Section 6.6: pages 461–464.
• Problems due:
• From §6.5 (pages 459&460): 1, 2, 3.
• Additional problem: In solving which of the following equations would it be useful to have a step in which you take logarithms of both sides of the equation?
1. log2 (x + 3) = 5;
2. (x + 3)2 = 5;
3. 2x + 3 = 5.
13. Applications of logarithms:
• Date assigned: September 2 Friday.
• Date due: September 6 Tuesday.
• Problems due:
• From §6.7 (pages 474–477): 3, 5;
• Addtional problem: Suppose that a quantity A undergoes exponential growth with a relative growth rate of k and an initial value of A0 at time t = 0. Write down a formula for the value of A as a function of the time t.
14. Polynomial functions:
• Date assigned: September 7 Wednesday.
• Date due: September 8 Thursday.
• Section 5.1 (pages 322–336);
• My online notes on graphing polynomials (but the last paragraph is optional).
• Problems due from §5.1 (pages 338–342): 8, 9, 15.
• Date assigned: September 8 Thursday.
• Date due: September 9 Friday.
• Section R.6 (pages 58–61);
• Most of Section 5.5:
• from page 375 through the middle of page 378,
• from the middle of page 379 to the top of page 383.
• Section 5.6 (pages 390–394).
• Problems due:
• From §5.5 (pages 386–389): 6, 9.
• From §5.6 (pages 394&395): 3, 4.
16. Rational functions:
• Date assigned: September 9 Friday.
• Date due: September 12 Monday.
• Section 5.2 (pages 343–350);
• Section 5.3 (pages 353–364);
• My online notes on rational functions.
• Problems due:
• From §5.2 (pages 350–353): 6, 7, 13;
• From §5.3 (pages 365–368): 3, 6.
17. Inequalities:
• Date assigned: September 12 Monday.
• Date due: September 13 Tuesday.
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