Beginning Algebra Math 03

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Beginning Algebra Math 03
Course Outline
Textbook: Introductory Algebra, 2nd edition by Miller, O’Neill, and Hyde. McGraw-Hill
Publishing Company.
A scientific calculator or a graphing calculator (Texas Instrument 84) is recommended.
Prerequisite: Math 02 or placement test.
The topics covered will be:
 Rational and irrational numbers
 The number line
 Exponents
 Square roots
 Order of operations
 Simplify numerical and algebraic expressions
 Solve linear equations
 Word problems using linear equations
 Formulas and applications of geometry
 Linear inequalities
 Scientific notation
 Operating with polynomials
 Factoring polynomials
 Solve equations using the zero product rule
 Add, subtract, multiply, divide rational expressions
 Solve rational equations in one variable
 Roots versus radicals
 Operating with square roots
 Square root property
 Quadratic formula
 Rectangular coordinate system and lines
Places to go for help:
 Instructor
 Math lab in Walker Building (#3) second floor
Attendance policy:
It is expected that you will attend every class session. To miss one day is to miss a large
piece of the puzzle. All lectures are extremely important. If you are unable to attend a
session, contact the instructor or a classmate to find out what material was missed. You
are responsible for reading the sections covered that day and you are responsible for
completing all assignments. More than 20 % absences for the semester constitutes
unsatisfactory attendance and will place you in jeopardy of being withdrawn from the class.
Grades: To pass this class, you need an average of 75 %.
satisfactory, U for unsatisfactory, R for repeat.
The grades are S for
The course
Chapter 1: The Set of Real Numbers
1.1
Set of Numbers and the Real Number Line
1.2
Exponents, Square Roots, and the Order of Operations
1.3
Addition of Real Numbers
1.4
Subtraction of Real Numbers
1.5
Multiplication and Division of Real Numbers
1.6
Properties of Real Numbers and Simplifying Expressions
Chapter 2: Linear Equations and Inequalities
2.1
Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2
Solving Linear Equations
2.3
Linear Equations: Clearing Fractions and Decimals
2.4
Applications of Linear Equations: Introduction to Problem Solving
Chapter R: Reference
R.3 Decimals and Percents
R.4 Introduction to Geometry
Chapter 2:
2.5
Applications Involving Percents
2.6
Formulas and Applications of Geometry
2.7
Mixture Applications and Uniform Motion
2.8
Linear Inequalities
Chapter 5: Polynomials and Properties of Exponents
5.1
Exponents: Multiplying and Dividing Common Bases
5.2
More Properties of Exponents
5.3
Definitions of b raised to zero and b raised to (-n)
5.4
Scientific Notation
5.5
Addition and Subtraction of Polynomials
5.6
Multiplication of Polynomials and Special Products
5.7
Division of Polynomials
Chapter 6: Factoring Polynomials
6.1
Greatest Common Factor and Factoring by Grouping
6.2
Factoring Quadratic Trinomials with Leading Coefficient of One
6.3
Factoring Trinomials: Trial and Error Method OR
6.4
Factoring Trinomials: AC Method
6.5
Difference of Squares and Perfect Square Trinomials
6.6
Sum and Difference of Cubes
6.7
Solving Equations Using the Zero Product Rule
6.8
Applications of Quadratic Equations (optional)
Chapter 7: Rational Expressions
7.1
Introduction to Rational Expressions
7.2
Multiplication and Division of Rational Expressions
7.3
Least Common Denominator
7.4
Addition and Subtraction of Rational Expressions
7.5
Complex Fractions (optional)
7.6
Rational Equations
7.7
Applications of Rational Equations and Proportions
7.8
Variation
Chapter 8: Radicals
8.1
Introduction to Roots and Radicals
8.2
Simplifying Radicals
Chapter 9: More Quadratic Equations
9.1
The Square Root Property
9.2
Completing the Square (optional0
9.3
Quadratic Formula
Chapter 3: Graphing Linear Equations in Two Variables
3.1
Rectangular Coordinate System
3.2
Linear Equations in Two Variables
3.3
Slope of a Line and Rate of Change
3.4
Slope-Intercept Form of a Line
3.7
Introduction to Functions
Suggested Homework Assignments for Math 03
Section
Page
Problems
1.1
53
2, 3 – 21 ODD, 18 – 87 EOO
1.2
63
9 – 14 ALL, 15 – 21 ODD, 23 – 49 EOO, 51 – 79 ODD, 81 – 84 ALL, 85 – 105
ODD
1.3
71
9 – 69 ODD, 81 – 93 ODD
1.4
80
15 – 55 ODD, 61 – 69 ODD, 73, 77 – 103 ODD
1.5
89
2, 3, 5, 7 – 23 ODD, 27 – 33 ODD, 43 – 133 EOO, 135 – 139 ODD, 143, 145,
151, 153 a and b
1.6
103
15 - 21 ODD, 35 – 38 ALL, 39 – 61 ODD, 63 – 71 ALL, 73 – 77 ODD, 83 –
129 ODD
2.1
124
3, 4, 5, 6, 9 – 51 ODD, 55 – 63 ODD, 65 – 89 EOO, 107 – 110 ALL
2.2
133
13 – 29 EOO, 33, 34, 41 – 63 ODD, 73 – 91 ODD
2.3
141
15 – 35 ODD, 37, 43, 47, 53, 55 – 67 ODD
2.4
149
3 – 39 ODD, 43 – 57 ODD
R.3
27
1 – 7 ODD, 19 – 25 ODD, 39 – 47 ODD, 51 – 61 ODD, 75 – 79 ODD
R.4
37
1, 3, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 41
2.5
157
5 – 21 odd, 25, 33 – 49 odd
2.6
165
5, 9 – 39 EOO, 41 – 61 ODD
2.7
174
7 - 15 ODD, 23, 29 – 41 ODD, 45, 49, 51
2.8
189
31, 33, 35, 37 – 77 EOO
5.1
367
13, 17, 19, 23, 27, 33, 34, 35, 37, 41, 45, 47, 49, 51, 52, 58, 61 – 71 ODD,
75 – 111 ODD
5.2
373
3, 5, 11 – 21 ODD, 27 – 67 ODD, 71
5.3
381
7, 11 – 45 ODD, 51 – 101 EOO
5.4
387
17 – 27 ODD, 37 – 71 ODD
5.5
396
27, 37, 39, 57, 63, 73, 75, 85
5.6
404
9, 13, 17, 19 – 47 ODD, 53 – 75 EOO, 81 – 87 ODD
57
413
15 – 29 EOO, 33 – 53 ODD
6.1
435
3 – 13 ODD, 17 – 71 ODD
6.2
441
7 – 19 ODD, 31 – 39 ODD, 43 – 65 ODD
6.4
456
5 – 35 ODD, 43 – 73 ODD
6.5
463
15 – 35 ODD, 51, 57, 63
6.6
469
15 – 25 ODD, 35, 41
6.7
477
15, 19, 21, 25 – 71 EOO
7.1
506
33 – 73 ODD, 87 – 97 ODD
7.2
512
1 – 57 ODD, 65
7.3
518
13 = 29 ODD, 33 – 47 ODD, 53 – 57 ODD
7.4
526
5 – 65 ODD
7.5
535
7 – 23 ODD
7.6
545
9 – 13 ODD, 17 – 45 ODD
7.7
555
9 – 21 ODD, 25, 27, 29, 33, 37
7.8
564
11 – 21 ODD, 29 – 37 ODD
8.1
590
11, 15, 17 – 45 ODD, 67, 69, 79, 87, 91, 93, 99, 101
8.2
599
15 – 69 ODD, 87 – 109 ODD
9.1
654
21 – 39 ODD
9.2
659
3, 37 – 61 ODD
9.3
667
3 - 27 ODD
3.1
210
5 – 21 ODD
3.2
224
3 – 29 ODD, 33, 35, 37, 47, 49, 51, 55, 67 – 73 ODD
3.3
238
17 – 43 ODD
3.4
248
11 – 27 ODD
3.7
276
5 – 13 ODD, 19 – 35 ODD
The tests will be assigned by your instructor. 5 tests are suggested.
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