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Syllabus for College Algebra

Catalog Description:
Includes a brief review of intermediate algebra, equations and inequalities, functions and their graphs, exponential and logarithmic functions, linear and non-linear systems, selection of topics from among graphing of the conic sections, introduction to sequences and series, permutations and combinations, the binomial theorem, and theory of equations.

Prerequisite : MAT 106 Survey of Algebra or a CPT score of at least 85 in the Elementary Algebra area or an ACT score of 23.

Co-requisite: None

Text: Beecher, Penna, and Bittinger, College Algebra 3rd edition, Addison Wesley. 2008.

Required Course Materials: Text and Texas Instruments TI-83/84 or TI-86 graphing calculator. The math department has a limited number of these calculators available for lease: ask your instructor for details. In addition, some calculators are available for use in the Library.

Optional Course Materials: MathXL. DVD’s for this course are available in the library and the Math Support Room.

Grading Criteria:

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Topical Outline:

Chapter 1: Graphs, Functions, and Models

1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions , Slope , and Applications
1.4 Equations of Lines and Modeling
1.5 More on Functions
1.6 The Algebra of Functions
1.7 Symmetry and Transformations

Chapter 2: Functions, Equations, and Inequalities

2.1 Linear Equations, Functions, and Models
2.2 The Complex Numbers
2.3 Quadratic Equations, Functions, and Models
2.4 Analyzing Graphs of Quadratic Functions
2.5 More Equation Solving
2.6 Solving Linear Inequalities

Chapter 3: Polynomial and Rational Functions

3.1 Polynomial Functions and Models
3.2 Graphing Polynomial Functions
3.3 Polynomial Division; The Remainder and Factor Theorems
3.4 Theorems about Zeros of Polynomial Functions
3.5 Rational Functions
3.6 Polynomial and Rational Inequalities
3.7 Variation and Applications

Chapter 4: Exponential and Logarithmic Functions

4.1 Inverse Functions
4.2 Exponential Functions and Graphs
4.3 Logarithmic Functions and Graphs
4.4 Properties of Logarithmic Functions
4.5 Solving Exponential and Logarithmic Equations
4.6 Applications and Models: Growth and Decay; Compound Interest

Chapter 5: System of Equations and Matrices

5.1 Systems of Equations in Two Variables
5.2 Systems of Equations in Three Variables
5.3 Matrices and Systems of Equations
5.4 Matrix Operations
5.5 Inverses of Matrices
5.6 Determinants and Cramer' s Rule (OPTIONAL)
5.7 Systems of Inequalities and Linear Programming (OMIT Linear Programming)
5.8 Partial Fractions (OMIT)

Chapter 6: Conic Sections

6.1 The Parabola
6.2 The Circle and the Ellipse
6.3 The Hyperbola
6.4 Nonlinear Systems of Equations and Inequalities

Chapter 7: Sequences, Series, and Combinatorics

7.1 Sequences and Series
7.2 Arithmetic Sequences and Series
7.3 Geometric Sequences and Series
7.4 Mathematics Induction (Optional)
7.5 Combinatorics: Permutations
7.6 Combinatorics: Combinations
7.7 The Binomial Theorem
7.8 Probability (Optional)

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