Course Outline and Objectives - Precalculus
Text: Mark Dugopolski
Precalculus – Functions and Graphs - Addison Wesley
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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:
Page 9: 1 - 17 odds, 29-45 odds, 16, 36, 40
Sect 1.6 Review
of Solving Quadratic Equations: Page
66: 1, 5, 7, odds 15 – 23, Use quadratic
formula on odds
31 – 39, 89, 90
1 4: Linear Functions
and Composition of Functions
Homework: Page 47: Problems 1, 3, 5, 11-17odds, 27, 29, 37, 41, 57, 59, 63, 65, 67, 38, 46, 66
Page 140: 35, 37, 43, 45, 47, 38, 48
Review: Sect 2.1 Functions
Study Example 10a, b on page 93. Homework:
Page 101: 11- 15 odds, 49,
51, 57-65 odds, 75, 77, 79, 80
Read
& Study Pages 105-109 (stop at example 7)
Study Page 129.
Sect 2.2 Graphs of
Relations and Functions
Homework: Page 114: odds 1 – 17, odds 47 – 53, 33, 35, 67, 12, 36
Sect 2.3 Families of Functions: Transformations
Homework: page 130: 1, 3, 5, 11, 13, all 17-24, 35, 37, 45, 49, 38
Chapter 3:
Homework: Page 191 Problems 1 – 17 odd, 21, 25, 27, all, 45, 47, 77-85 odd, 26, 28, 46, 84
Homework: Page 181 problems 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
3.3 Zeros of Polynomial Functions
Homework: Page 201 Problems 7, 9,11, 15, 23, 25,
27,29, 31, 33, 35, 37, 39,10, 30, 34
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, 61, 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, 7, 17, 19, 21, 25, 29, 33, 35, 39, 42
Sect 4.1 Exponential
Functions
Homework: Page 272: 1 – 9 odds, 13, 15, 21, 31 – 35 all, 37, 47 – 55 odds, 54, 56
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 Problems: 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 269: odds 7 – 35, odds 41-59, 63, 14, 28, 34, 48, 66
Sect
4.3 Properties of Logarithms
Homework: Page 296 Problems NON CALCULATOR: 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
Page
307: Non-calculator Solve
Page 1-21(odd), 6, 14, 18
Sect 4.4B Log
Equations and Applications
SOLVE SYMBOLICALLY AND TO FOUR DECIMAL PLACES: Page 307: 23-37 odds, 28,32,36
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:
Section 8.1 Page 549: Problems 3,5, 7, 8, 17, 33, 37, 41, 36
Section 8.3 Page 569: Problems 1, 5, 7, 15, 17, 23, 33, 35, 37, 49, 22
Sect 8.5 Inequalities and Systems of Inequalities in Two Variables
Homework: Page 587: Problems 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
Section 9.1 Page 614 1, 3, 5, 2
Homework: Section 9.2 Page 622: Problems 1, 3, 9, 15, 17, 19, 27, 53, 26, 56
Section 9.3 Page 629: Problems 11, 13, 19, 23, 27, 29, 51, 26, 30
Sect 8.2 Systems of Linear Equations in Three Variables
Homework: Page 562: 1, 3, 2, 5, 9, 11, 15, 17, 19, 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: Section 9.5 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 & 11.3 Arithmetic and Geometric Sequences and Series
Homework: Page 735: Problems 1, 3, 7, 9, 11, odds 47 - 55, 63
Page 746: Problems odds 1 – 11, odds 21- 31
Sect 11.3 Geometric Sequences and Series
HW Page 746: Problems odds 15 – 19, 45, 47, 49, 51, odds 61- 69
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 – 23, 24, 33, 39, 41, 45, 47, 51, 53, 54
Sect 10.3
The Hyperbola & Ellipse Part 2
HW Page 682: 25, 27, 29, 30, 31, 32 Page 696: 5, 7, 9, 13, 8
Sect 10.3B The Hyperbola Part 2
HW Page 696:
17, 19, 21, 20, 14 and Complete
the square to put the following parabolas in standard form. Identify vertex, axis of symmetry, Focus, directrix
and graph: 1. y2 – 2y – 2x = 5
2. x2 + 6x - 4y + 13 =
0
HW Page
697: odds 35 - 45