Readings and homework

I will assign readings listed below. Most readings will have associated exercises due in class the next day. (In Section ES32, there will be two assignments due each Tuesday and one each Thursday; in Section ES34, there will be one assignment due each Monday, one each Wednesday, and one each Friday.) 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).

Here are the assigned readings and exercises:

Graphing points:
- Date assigned: March 31 or 30.
- Date due: April 5 or 1.
- Reading:
  - Introduction;
  - Section 2.1: pages 150–154;.
- Problems due from §2.1 (pages 154–157): 2, 3, 8.
Graphing equations:
- Date assigned: March 31 or April 1.
- Date due: April 5 or 4.
- Reading:
  - Section 2.2: pages 157–164;
  - Online notes.
- Problems due from §2.2 (pages 164–167): 3, 5, 7.
Lines in the plane:
- Date assigned: April 5 or 4.
- Date due: April 7 or 6.
- Reading:
  - Section 2.3: pages 167–177;
  - Online notes.
- Problems due from §2.3 (pages 178–182): 1, 2, 7, 8.
Systems of equations:
- Date assigned: April 7 or 6.
- Date due: April 12 or 8.
- Reading:
  - Section 12.1: pages 844–854;
  - Online notes with examples.
- Problems due from §12.1 (pages 854–858): 3, 5.
Functions:
- Date assigned: April 7 or 8.
- Date due: April 12 or 11.
- Reading: Section 3.1: pages 199–210.
- Problems due from §3.1 (pages 210–213): 9, 12, 19.
Graphing functions:
- Date assigned: April 12 or 11.
- Date due: April 14 or 13.
- Reading:
  - Most of Section 3.2: pages 214–218 (but you may skip parts D and E of Example 4);
  - Online notes.
- Problems due from §3.2 (pages 218–223): 3, 4, 10.
Properties of functions:
- Date assigned: April 14 or 13.
- Date due: April 19 or 15.
- Reading:
  - 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;
  - Online notes.
- Problems due:
  - From §3.3 (pages 232–236): 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.
Word problems:
- Date assigned: April 14 or 15.
- Date due: April 19 or 18.
- Reading:
  - Most of Section 3.6: pages 260–262 (but you may skip the parts about graphing calculators);
  - Online notes and video.
- Problem due: Suppose that you have a problem with three quantities, A, B, and C; and suppose that you have two equations, one involving A and B, and one 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?
Linear functions:
- Date assigned: April 19 or 18.
- Date due: April 21 or 20.
- Reading: Section 4.1: pages 274–280.
- 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.
Examples of functions:
- Date assigned: April 21 or 20.
- Date due: April 26 or 22.
- Reading:
  - Section 3.4, Library of functions: Pages 237–241;
  - Online notes and video;
  - Section 3.4, Piecewise-defined functions: pages 242&243.
- Problems due from §3.4 (pages 244–247): 4, 5, 9, 10.
Composite functions:
- Date assigned: April 21 or 22.
- Date due: April 26 or 25.
- Reading:
  - Most of Section 6.1: from page 403 to the top of page 407;
  - Online notes.
- Problems due from §6.1 (pages 408–410): 4, 6.
Inverse functions:
- Date assigned: April 26 or 25.
- Date due: April 28 or 27.
- Reading:
  - Section 6.2: pages 411–419;
  - Online notes.
- Problems due from §6.2 (pages 419–423): 6, 8, 11, 12.
Coordinate transformations:
- Date assigned: April 28 or 27.
- Date due: May 3 or April 29.
- Reading:
  - Section 3.5: pages 247–256;
  - Online notes.
- Problems due from §3.5 (pages 256–260): 1, 2.
Quadratic functions:
- Date assigned: April 28 or 29.
- Date due: May 3 or 2.
- Reading:
  - Section 4.3: pages 291–298;
  - Online notes.
- Problems due from §4.3 (pages 299–302): 5, 7, 11.
Quadratic word problems:
- Date assigned: May 3 or 2.
- Date due: May 5 or 4.
- Reading:
  - Most of Section 4.4: from page 302 through the top half of page 306;
  - Online notes.
- Problems due:
  1. 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)?
  2. If a business's revenue is R dollars per year and its costs are C dollars per year, then what is its profit (in dollars per year)?
Exponential functions:
- Date assigned: May 5 or 4.
- Date due: May 10 or 6.
- Reading:
  - Section 6.3: pages 423–434;
  - Online notes.
- Problems due from §6.3 (pages 434–439): 7, 11.
Logarithmic functions:
- Date assigned: May 5 or 6.
- Date due: May 10 or 9.
- Reading:
  - Section 6.4: pages 440–448;
  - Online notes.
- Problems due from §6.4 (pages 448–452): 4, 6.
Properties of logarithms:
- Date assigned: May 10 or 9.
- Date due: May 12 or 11.
- Reading:
  - Section 6.5: pages 452–458;
  - Online notes.
- Problems due from §6.5 (pages 459&460): 1–6.
Logarithmic equations:
- Date assigned: May 12 or 11.
- Date due: May 17 or 13.
- Reading: Section 6.6: pages 461–464.
- Problems due: 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. 2^{x + 3} = 5.
Compound interest:
- Date assigned: May 12 or 13.
- Date due: May 17 or 16.
- Reading:
  - Section 6.7: pages 468–474;
  - Online notes.
- Problems due from §6.7 (pages 474–477): 3, 5.
Exponential growth and decay:
- Date assigned: May 17 or 16.
- Date due: May 19 or 18.
- Reading:
  - Section 6.8: pages 478–485;
  - Online notes.
- Problem due: 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.
Polynomial functions:
- Date assigned: May 19 or 18.
- Date due: May 24 or 20.
- Reading:
  - Section 5.1: pages 322–336.
  - Online notes.
- Problems due from §5.1 (pages 338–342): 8, 9, 15.
Advanced factoring:
- Date assigned: May 19 or 20.
- Date due: May 24 or 23.
- Reading:
  - Section R.6: pages 58–61;
  - Most of Section 5.5:
    - page 375 through the middle of page 378,
    - from the middle of page 379 to the top of page 383.
- Problems due from §5.5 (pages 386–389): 6, 9.
Complex numbers:
- Date assigned: May 24 or 23.
- Date due: May 26 or 25.
- Reading: Section 5.6: pages 390–394.
- Problems due from §5.6 (pages 394&395): 3, 4.
Rational functions:
- Date assigned: May 26 or 25.
- Date due: May 31 or 27.
- Reading: Section 5.2: pages 343–350.
- Problems due from §5.2 (pages 350–353): 6, 7, 13.
Graphing rational functions:
- Date assigned: May 26 or 27.
- Date due: May 31 or June 1.
- Reading:
  - Section 5.3: pages 353–364;
  - Online notes.
- Problems due from §5.3 (pages 365–368): 3, 6.
Inequalities:
- Date assigned: May 31 or June 1.
- Date due: June 2 or 3.
- Reading:
  - Section 5.4: pages 368–372;
  - Online notes.
- Problems due from §5.4 (pages 372–375): 1, 5–8.

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