MATH 126 NOTES

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Eric Hutchinson

Mathematics Professor

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Office: West Charleston, Building H, Room 101C
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Email: eric.hutchinson@csn.edu

MATH 126 NOTES

*CHAPTER 1 - Functions and Relations*
*SECTION*	*NOTES*	*VIDEO LINKS*
*1.1 - The Rectangular Coordinate System and Graphing Utilities*	*1.1*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*1.2 - Circles*	*1.2*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*1.3 - Functions and Relations*	*1.3*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*1.4 - Linear Equations in Two Variables and Linear Functions*	*1.4*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*1.5 - Applications of Linear Equations and Modeling*	*1.5*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*1.6 - Transformations of Graphs*	*1.6*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*1.7 - Analyzing Graphs of Functions and Piecewise-Defined Functions*	*1.7*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*1.8 - Algebra of Functions and Function Composition*	*1.8*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9

*CHAPTER 2 - Polynomials and Rational Functions*
*SECTION*	*NOTES*	*VIDEO LINKS*
*R.5 - Equations with Real Solutions*	*R.5*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*R.6 - Complex Numbers and More Quadratic Equations*	*R.6*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*2.1 - Quadratic Functions and Applications*	*2.1*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10
*2.2 - Introduction to Polynomial Functions*	*2.2*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*2.3 - Division of Polynomials; Remainder and Factor Theorems*	*2.3*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10
*2.4 - Zeros of Polynomials*	*2.4*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*2.5 - Rational Functions*	*2.5*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12
*2.6 - Polynomial and Rational Inequalities*	*2.6*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7

*CHAPTER 3 - Exponential and Logarithmic Functions*
*SECTION*	*NOTES*	*VIDEO LINKS*
*3.1 - Inverse Functions*	*3.1*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*3.2 - Exponential Functions*	*3.2*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10
*3.3 - Logarithmic Functions*	*3.3*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*3.4 - Properties of Logarithms*	*3.4*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*3.5 - Exponential and Logarithmic Equations and Applications*	*3.5*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12
*3.6 - Modeling with Exponential and Logarithmic Functions*	*3.6*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9

*CHAPTER 8 - Systems of Equations and Inequalities*
*SECTION*	*NOTES*	*VIDEO LINKS*
*8.4 - Systems of NonLinear Equations in Two Variables*	*8.4*	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7

Note: The above notes coincide with Precalculus, 1st Edition, by Julie Miller and Donna Gerken.