Math 109 TR
Pre-Calculus Algebra

Text: Precalculus: Graphs and Models, 2nd edition, Barnett, Ziegler, and Byleen, McGraw Hill, 2005
Prerequisites: One of: Math 105 with a grade of C or better; Math ACT of 25 or above; or Placement by the Mathematics Department. A Graphing calculator is required. A TI-83, TI-86, TI-89, or TI-92 is strongly recommended. The College of Engineering recommends the TI-92.

This is NOT a beginning algebra course. Students are expected to be knowledgable in basic algebra skills and concepts. The text includes many, many opportunities for learning. Each chapter begins with a recommended review and ends with a concise review of concepts covered. Numerous examples are completely worked out in the text and on-line help is available at internet websites.

LessonSection/Topic Assignment

1 Orientation Get text, calculator for NEXT class and practice calculator by doing Ex. 1 on page 4 and Ex. 3 on page 8

2 1.1 Using grapher READ Example 5
7, 9, 14, 15, 16, 21, 23, 25, 29, 32, 37,41, 44, 45, 49, 50, 51, 53, 55, 56, 57
PREVIEW Sec. 1.2, especially Definitions 1, 2, 3

3 1.2 Functions READ Examples 1 through 8
1-6, 9, 10, 11, 13-18, 21-24, 25, 28, 29, 32,36, 37, 39, 40, 41, 43, 45, 46, 49, 52, 57, 59, 60, 63-66, 67, 69, 75, 77, 79, 80, 85, 86, 87, 90, 91, 92
PREVIEW Sec. 1.3 , especially page 39 and Definitions 1 and 2

4 1.3 Function Graphs READ Examples 1 through 6
1, 4, 5, 7, 8, 13, 16, 20, 21, 22, 27, 28, 31, 35, 39, 40, 51, 53, 56, 57, 60, 67, 79, 81, 82, 85, 91
PREVIEW Sec. 1.4, especially page 63

5 1.4 Transformations READ Examples 1 through 5
1,2,3,5,9,11,12,15,20,21,28,29,31,32,35,37,40,43,46,47,52,54,56,59-61,63,65-67,77,80
PREVIEW Sec. 1.5, especially Definitions 1 and 2

6 1.5 Combining Functions


1.5 Follow-up
READ Examples 1 through 5
1,5,6,11,12,13,16,17,20,21,25,26,29,31,35,37,38
PREVIEW Sec. 1.6, especially Definitions 1 and 2
41,44,46,47,50, 64,65,77,78,79

7
1.6 Inverse Functions

READ Examples 1, 2, 3, 4
1,3,6,7,8,13,14,16,22,24,33,34,35,39,40,46,47,49,52,57,62,63,70,71,75-78,81,85,99,100
PREVIEW Sec. 2.1, especially the blue boxes on pages 115, 119, 122, 123

8 2.1 Linear Functions

Review for Test 1
READ Examples 1 through 7
1,5,6,8,10,12,13,14,17,20,23,25,27,31,32,35,36,41,42,45,47,50,51,53,55,56,57,59,63,64,66,68
Study for Test 1 and READ Chapter Review on pages 103 and 104

9 TEST 1 CHAPTER 1 After the test work the assignment for Sec. 2.1 from Day 7

10 2.1 Applications

2.2 Linear Models
READ Example 8
69, 70, 72, 79, 80, 89, 91, 94, 95, 100, 101, 102
READ Examples 1, 2, 3, 6
1-6, 8, 10, 21, 24, 28, 31, 40, 41, 44, 45, 48-58, 71, 73, 81-83, 85, 88
PREVIEW Sec. 2.3, especially the blue boxes on pages 152, 153, 157

11 2.3 Quadratic Functions READ Examples 1 - 6
1, 3, 6-8, 15,16,19, 22, 25,28,29,31,34,37,38, 39, 43, 44, 51, 52, 58, 59, 60, 63, 65, 68, 71, 72, 73
PREVIEW Sec. 2.4, especially Definitions 1, 2, 3, 4
PREVIEW Sec. 2.5, especially all blue boxes, Example 1, and Theorem 1

12 2.4 Complex Numbers

2.5 Quadratic Models
READ Examples 1, 2, 3, 4, 5, 7
1, 5, 6, 11, 14, 19, 23, 24, 29, 33, 34, 35, 36, 39, 43, 51, 73
READ Examples 3, 4, 5
1, 5, 6, 19, 24, 26, 33, 34, 36, 42, 49, 50, 59, 65, 66, 87, 89, 91, 94, 95, 102
PREVIEW Sec. 2.6, especially pages 197 and 201

13 2.6 Other Equations READ Examples 1, 2, 3, 4, 6, 7
1, 2, 5, 6, 7, 10, 11, 13, 15, 16, 18, 19, 21, 25, 29, 32, 57, 58, 59, 61, 62, 64
PREVIEW Sec. 2.7, especially Theorems 1, 2, 3

14 2.7 Inequalities READ Examples 1 through 6
1-3, 9, 10, 11, 13, 15, 22, 23, 26, 29, 30, 31, 38, 39, 42, 43, 45, 48, 52, 55-58, 61, 80, 89, 90, 92, 93
PREVIEW Sec. 3.1, especially Definitions 1 and 2, and Theorems 1, 2, 3

15 3.1 Polynomial Functions

Review for Test 2
READ Examples 1-7, 9;
1-5, 7, 9, 10, 12, 13, 16, 17, 23, 24, 25, 27, 29, 35, 37, 40, 42, 45, 49, 57, 61-64, 67, 68, 73, 76, 83, 91, 92, 95
Study for Test 2 and READ Chapter Review on pages 224 -226

16 TEST 2 CHAPTER 2 Complete Sec. 3.1 assignment from Day 15
PREVIEW Sec. 3.2, especially Theorems 1 and 2

17 3.2 Real Zeros READ Examples 1, 2, 3, 5, 7, 8 and Input Program SYNDIV into calculator
3, 4, 5, 6, 11, 12, 17, 18, 27, 33, 34, 39, 40, 47, 50, 55, 58, 67, 69, 70, 71, 72
PREVIEW Sec. 3.3, especially Theorems 1 through 6

18 3.3 Complex Zeros READ Examples 1, 2, 3
1-3, 7, 9-11, 15-18, 21, 23, 31, 32, 37-40, 45, 47, 48, 54, 55, 57-60, 71-73, 89, 96, 97
PREVIEW Sec. 3.4, especially the colored boxes on pages 288, 293, 294

19 3.4 Rational Functions READ Examples 1, 3, 4, 5, 6, 8
1-5, 7, 10, 12, 14, 15, 17, 18, 29,33, 36, 38, 42, 45-49, 54, 61, 63, 66, 71, 74, 81, 84, 86, 87, 91, 92
PREVIEW Sec. 4.1, especially Definitions 1 and 2, and Theorem 1

20 4.1 Exponential Functions

Review for Test 3
READ Examples 1, 2, 4, 6
1, 2, 5-7, 11-14, 17, 18, 21, 23, 26, 27, 31, 33, 34, 38, 39, 42
Study for Test 3 and READ the Chapter Review on pages 308-310

21 TEST 3 CHAPTER 3 After test, work assignment for Sec. 4.1 from Day 20

22 4.1 Follow-up
4.2 Exponential Models
61,63,87,88,90,95
READ Examples 1, 2, 3, 4, 6, 7
2, 5, 8, 9, 12, 16, 17, 21, 22, 23, 24
PREVIEW Sec. 4.3, especially Definition 1 and Theorem 1

23 4.3 Logarithmic Functions READ Examples 1 through 7
1, 2, 5, 6, 9, 10, 13, 14, 15, 17, 20, 22-25, 27, 30, 31, 35, 39, 42, 43, 46, 47, 50, 51, 54, 56, 58, 60, 61, 67, 77, 78, 86, 89, 92, 95
PREVIEW Sec. 4.4

24 4.4 Logarithmic Models READ Examples 1, 2, 3, 5
1, 2, 3, 5, 6, 8, 11, 14, 15, 17
PREVIEW Sec. 4.5

25 4.5 Exponential and Logarithmic Equations READ Examples 1, 2, 3, 5, 6, 7
3, 8, 9, 12, 13, 16, 17, 19, 22-24, 27, 30, 31-33, 36, 39, 41, 43, 46, 47, 55, 66, 68, 69, 72, 73, 77

26 Review for Test 4 Study for Test 4 and READ Chapter Review on pages 373 -374

27 TEST 4 CHAPTER 4

28 Review for Final REVIEW problems: pages 233 - 237
3-6, 12-15, 19-22, 24, 26, 30, 33, 36, 37, 42, 44, 45, 65, 67
REVIEW problems: pages 380 - 383
1, 4, 6, 7, 9, 10, 15, 24, 25, 29, 32, 38, 49, 54, 55, 62, 65, 66, 69

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