Course Outline and Objectives - Precalculus
Text: Mark Dugopolski
Precalculus – Functions and Graphs - Addison Wesley
NOTE: In the following
homework assignments, EOO represents "every other odd", i.e.
1,5,9,13,…..
Review of Factoring: Do Review of Factoring Worksheet.
Review of Solving Linear Equations: Sect 1.1 Equations in One Variable
Homework: Page 9: 1 - 17 odds, 29-45 odds, 16, 36, 40
Sect 1.7 Review of Solving Quadratic Equations and
Absolute Value Equations
Homework: Page 76: 1-9 odds, 29- 45 odds, 16, 36, 40
Page 10: 55 – 65 odds
Homework: Page 48: Problems 1, 3, 5, 11-17odds, 27, 29, 37, 41, 57, 59, 63, 65, 71, 38, 46, 66
Homework: Page 114: 11- 23 odds,37, 39, 41 – 47 odds (domain only) 49, 51, 57-65 odds, 77, 79, 81,82
Page 141-142: Study Graphs
Page 127: 47 – 53 odds
Section 2.4 Composition of Functions
Homework: Page 154: 35, 37, 49, 51, 53, 38, 54
Section 2.2 Graphs of
Relations and Functions
Homework: Page 127: 1-17 odds, 25 – 31 odds, 33, 35, 37, 67, 12, 36
Sect 2.3 Families of Functions: Transformations
Homework: page 143: 1- 13 odds, 17-24 all, 35, 37, 45, 49, 71- 77 odds, 38
1.6 Complex Numbers
Homework: Page 63: 1 – 21 odds, 27, 29, 31-34,51-55, 77-85 odds,26,28,46,84
Homework: Page 181 problems 1, 3, 5, 7, 13, 15, 19, 20, 25, 27, 33, 37, 39, 41, 43, 38, 40, 44
3.1b
Quadratic Functions on the graphing calculator
Homework: Page 181 Without a calculator Problems 45-51(odds), with calculator 57, 61, 65, 58
3.3 Zeros of Polynomial Functions
Homework: Page 201 Problems 7, 9, 15, 19, 21, 23, 27, 31, 33, 35, 37, 51, 53, 59, 54, 10, 24
3.4 Solving
Polynomial Equations
Homework: Page 211: odds 1- 9, for 59, 61, 63, 62, follow these directions: use your calculator to get an
observed root(s) and synthetic division
to find all of the exact answers; then
for the
two problems below find all real roots to
the nearest hundredth as we did in D on
worksheet:
1. 2x3 – 5x2 – 6x + 4 = 0 2. 3x4 – 5x3 – x2
– 8x + 4 = 0
Sect 3.1b – 3.3 Review
(This was assigned with 3.6a below)
3.6a Graphs of
Polynomial Functions
Homework: Page 234: odds 1 – 11, odds 17 – 25, odds 31 – 39, 2, 6, 18, 34
3.6B Graphs of Polynomial Functions
Homework: Page 234: all 45- 52; for each of the following problems, determine the x-intercepts and behavior
at the x-intercepts, the y-intercept, the end behavior, & graph: 43, 53, 57, 59, 63, 42, 58.
Be sure to label
axes with appropriate scales. Be
reasonably neat and orderly.
3.7 Graphs of Rational Functions
Homework: Page 234: 1, 3, 9, 17, 19, 29, 31, 33, 41, 49, 51, 65, 67, 34, 38, 68
Sect 4.1 Exponential
Functions
Homework: Page 272: 1 – 9 odds, 13, 15, 21, 31 – 35 all, 37, plus the following problems on the calculator.
1. 5x = 2 2. 33x + 4 = 7 3. 5-x – 2 = - 3.44 4. 3 + 2x = 6.25
Answers for
Practice for Test 2
Answers to Test 2a Spring 2005 Part 1
Answers to Test 2a Spring 2005 Part 2
Sect 2.5 Inverse Functions
(Preparation for Logarithmic Functions)
Read and study pages 143-145 and pages 147 – 148 and page 152.
Homework: Page 153: odds 7 – 13, odds 19-31, 39, 43, 45, 40 (Graph on graphing calculator
problems 25 – 31 to decide if they are one-to-one)
Sect 4.2 Introduction to Logarithms
Homework: Page 283: odds 9-27, 33, 35, odds 43-51, odds 65- 69, 75, 14, 34, 48, 68
Page 272: odds 47- 59, 56 (Study example 6, Page 266)
Sect
4.3 Properties of Logarithms
Homework: Page 296: 1-11 odds, 15, 23-27 all, 37-43 all, 49- 56 all;
Use Calculator on 59, 61, 62, 67, 69,71
Sect 4.4a
Log Equations and Applications
Homework: Page 307: (Non-calculator) 1-19(odd), 6, 14, 18
Sect 4.4B Log
Equations and Applications
Homework: Page 307: 21-37 odds, 28,32,36 (Give exact answers and answers rounded to 4 decimal places)
Some Symbolic. Answers: 25. (l0g1.093.4)/4 27. –log330 29. x2 = -(ln9)/3; so, no solution; x2
can’t be negative
31. 
33. 
37. 
Sect
8.1 & 8.3 Solving Systems of Linear
and Non-linear Equations
Homework: Page 549: 3,5, 7, 8, 17, 33, 37, 41, 36
Page 569: 1, 5, 7, 15, 17, 23, 33, 35, 37, 49(change of base formula), 53, 22, 52, 54
Sect 8.5 Inequalities and Systems of Inequalities in Two Variables
Homework: Page 587: 1-4 all, 5, 9, 19, 21, 31, 33, 43, 45, 46
Test 3
Spring 2005 Answers Part 1
Test 3
Spring 2005 Answers Part 2
Sect 9.2 and 9.3 Operations with Matrices
Homework: Page 614: 1, 3, 5, 2
Page 622: 1, 3, 9, 15, 17, 19, 27, 53, 26, 56
Page 629: 11, 13, 19, 23, 27, 29, 51, 26, 30
Sect 8.2 Systems of Linear Equations in Three Variables
Homework: Page 562: 5, 9, 11, 15, 17, 19, 21, 23, 25, 14
Sect
9.1 Solving Systems of Equations with Matrices
Homework: Page 615: Non-Calculator—27, 29, 35, 41, 43, 47, 49, 51; Calculator—45, 48, 52
Sect
9.5 Solution of Systems of Equations in Two Variables Using Determinants
Homework: Page 647: 1, 3, 5, odds 13, 15, 19, odds 21- 27, 20 (On 21 & 23, get rid of
denominators and decimals before you use Cramer’s Rule.)
Sect
9.6 Solution of Systems in Three Variables Using Determinants
Homework: Page 655: Non-calculator: 17, 19, 21, 33 With Calculator: 35, 36, 37, 40
Sect 11.1 & 11.2 Sequences and Arithmetic Sequences and Series
Homework: Page 726: 1, 5, 13, 17, 19, 57, 59, 63, 67, 73
Page 735: 1, 3, 7, 11, 13, 15, 16, 41, 43, 45, 47, 49, 51, 53
Sect
11.3 Geometric Sequences and Series
Homework: Page
746: 1 – 31 (odds), 45, 47, 49, 51, 55, 57, 61 – 69 (odds)
Answers for Graphs on
Practice for Test 4
Sect 10.1 The Parabola
Sect 10.1 Selected
Worksheet Answers
Sect 10.2 The
Ellipse and Circle
Homework: Page 681: 13, odds 17 – 33, 39, 41, 45, 47, 51, 53, 54
Homework: Page 697: 35 - 45 all (on the odd problems identify the key elements)
Practice for Final Exam Fall 2007