Course Outline
Chapter 3 GRAPHS AND FUNCTIONS
3.1 The Rectangular Coordinate System
3.2 Graphs of Equations
3.3 Slope and Graphs of LINEAR EQUATIONS
3.4 Equations of Lines
3.5 Graphs of Linear Inequalities
3.6 Relations and Functions
3.7 Graphs of Functions
Chapter 5 POLYNOMIALS AND FACTORING
5.1 Integer Exp onents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Factoring Polynomials by Grouping and Special Forms
5.5 Factoring Trinomials
5.6 Solving Polynomial Equations by Factoring
Chapter 2 LINEAR EQUATIONS AND INEQUALITIES
2.5 Absolute Value Equations and Inequalities
Chapter 6 RATIONAL EXPRESSIONS AND EQUATIONS
6.1 Rational Expressions and Functions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Complex Fractions
6.5 Dividing Polynomials and Synthetic Division **
6.6 Solving Rational Equations
6.7 Applications and Variation
Chapter 7 RADICALS AND COMPLEX NUMBERS
7.1 Radicals and Rational Exponents
7.2 Simplifying Radical Expressions
7.3 Adding and Subtracting Rational Expressions
7.4 Multiplying and Dividing Radical Expressions
7.5 Radical Equations and Applications
7.6 Complex Numbers
Chapter 8 QUADRATIC EQUATIONS AND INEQUALITIES
8.1 Solving Quadratic Equations: Factoring and Special Forms
8.2 Completing the Square
8.3 The Quadratic Formula
8.4 Graphs of Quadratic Functions
8.5 Applications of Quadratic Equations
Chapter 11 SEQUENCES, SERIES AND THE BINOMIAL THEOREM
11.1 Sequences and Series
11.4 The Binomial Theorem
NOTES:
1. Use of calculators and calculators with Computer Algebra System are up to the
discretion of each
instructor.
2. Items with ** are optional.
3. Chapter 3 (Graphs and Functions) and Chapter 5 (Polynomials and Factoring)
should be a review; so
go over them quickly.
4. Be sure to cover ’Equations in the Quadratic Form’ found in Examples 4 and 5
of Section 8.1.
5. Stress word problems.
6. Section 6.5 will be covered in Math 22.
7. The Final Exam must consist of questions that cover the fol lowing topics .
|
Chapter 3
|
The distance formula
Graphing an equation by hand
Finding x- and y- intercepts of the graph of an equation
Finding the slope of a line
Evaluating functions
Graphing a function
Finding the domain and range of a function |
|
Chapter 5
|
Operations of polynomials
Factoring polynomials completely
Solving a polynomial equation by factoring
Solving absolute value equations and inequalities (Section 1.5) |
Chapter 6
|
Operations of rational expressions
Solving an equation with rational expressions |
|
Chapter 7 |
Simplifying expressions with integer and rational exponents
Operations involving radical expressions
Solving equations involving radicals |
Chapter 8
|
Solving quadratic equations (all techniques)
Applications involving quadratic equations |
Chapter 11
|
Find the nth term of a sequence
Sigma notation and series |
BLUE BOOK: (GQ)Quadratic Equations; equations in quadratic
forms,; word problems; graphing; algebraic
fractions; negative and rational exponents radicals.
Preerquisites: MATH004 or satisfactory performance on the math proficiency
exams.
