MATH 126E NOTES

MATH 126E NOTES

*CHAPTER CR - Corequisite Review*
*SECTION*	*NOTES*	*VIDEO LINKS*
*CR.1 - Operations with Real Numbers and Order of Operations*	CR.1 Written Notes CR.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*CR.2 - Fraction and Decimal Operations*	CR.2 Written Notes CR.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*CR.3 - Introduction to Algebra, Simplifying Expressions*	CR.3 Written Notes CR.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*CR.4 - Solving Linear Equations*	CR.4 Written Notes CR.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*CR.5 - The Rectangular Coordinate System and Graphing*	CR.5 Written Notes CR.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*CR.6 - Rational Expressions: Reducing to Lowest Terms*	CR.6 Written Notes CR.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12
*CR.7 - Radicals*	CR.7 Written Notes CR.7 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*CR.8 - Monomials and Adding/Subtracting Polynomials*	CR.8 Written Notes CR.8 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*CR.9 - Multiplying Polynomials*	CR.9 Written Notes CR.9 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*CR.10 - Factors: The Greatest Common Factor*	CR.10 Written Notes CR.10 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*CR.11 - Factoring Trinomials*	CR.11 Written Notes CR.11 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*CR.12 - Factoring Higher Power and Special Polynomials*	CR.12 Written Notes CR.12 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*CR.13 - Operations with Square Roots*	CR.13 Written Notes CR.13 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*CR.14 - Solving Quadratic Equations Using Factoring, Square Root Method, Completing the Square, and the Quadratic Formula*	CR.14 Written Notes CR.14 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*CR.15 - Complex (Imaginary) Numbers*	CR.15 Written Notes CR.15 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*CR.16 - Dividing Polynomials*	CR.16 Written Notes CR.16 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*CR.17 - Complex Fractions*	CR.17 Written Notes CR.17 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*CR.18 - Rational Expressions: Multiplication and Division*	CR.18 Written Notes CR.18 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*CR.19 - Solving Rational Equations*	CR.19 Written Notes CR.19 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*CR.20 - Rational Expressions: Addition and Subtraction*	CR.20 Written Notes CR.20 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*CR.21 - Laws of Exponents (Positive Exponents)*	CR.21 Written Notes CR.21 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*CR.22 - Laws of Exponents (Negative Exponents)*	CR.22 Written Notes CR.22 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*CR.23 - Rational Exponents*	CR.23 Written Notes CR.23 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11
*CR.24 - Solving Systems of Equations: Graphing, Substitution, and Elimination*	CR.24 Written Notes CR.24 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*CR.25 - Inequalities*	CR.25 Written Notes CR.25 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*CR.26 - Absolute Value*	CR.26 Written Notes CR.26 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8

*CHAPTER 1 - Graphs*
*SECTION*	*NOTES*	*VIDEO LINKS*
*1.1 - The Distance and Midpoint Formulas*	1.1 Written Notes 1.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*1.2 - Graphs of Equations in Two Variables; Intercepts; Symmetry*	1.2 Written Notes 1.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5
*1.3 - Lines*	1.3 Written Notes 1.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*1.4 - Circles*	1.4 Written Notes 1.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4

*CHAPTER 2 - Functions and Their Graphs*
*SECTION*	*NOTES*	*VIDEO LINKS*
*2.1 - Functions*	2.1 Written Notes 2.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*2.2 - The Graph of a Function*	2.2 Written Notes 2.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3
*2.3 - Properties of Functions*	2.3 Written Notes 2.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*2.4 - Library of Functions; Piecewise-defined Functions*	2.4 Written Notes 2.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3
*2.5 - Graphing Techniques: Transformations*	2.5 Written Notes 2.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*2.6 - Mathematical Models: Building Functions*	2.6 Written Notes 2.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3

*CHAPTER 3 - Linear and Quadratic Functions*
*SECTION*	*NOTES*	*VIDEO LINKS*
*3.3 - Quadratic Functions*	3.3 Written Notes 3.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10

*CHAPTER 4 - Polynomial and Rational Functions*
*SECTION*	*NOTES*	*VIDEO LINKS*
*4.1 - Polynomial Functions*	4.1 Written Notes 4.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*4.2 - Graphing Polynomial Functions*	4.2 Written Notes 4.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*4.3 - Properties of Rational Functions*	4.3 Written Notes 4.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*4.4 - The Graph of a Rational Function*	4.4 Written Notes 4.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5
*4.5 - Polynomial and Rational Inequalities*	4.5 Written Notes 4.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*4.6 - The Real Zeros of Polynomial Functions*	4.6 Written Notes 4.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*4.7 - The Complex Zeros of Polynomial Functions*	4.7 Written Notes 4.7 Guided Notes	EXAMPLE 1 EXAMPLE 2

*CHAPTER 5- Exponential and Logarithmic Functions*
*SECTION*	*NOTES*	*VIDEO LINKS*
*5.1 - Composition of Functions*	5.1 Written Notes 5.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*5.2 - Inverse Functions*	5.2 Written Notes 5.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*5.3 - Exponential Functions*	5.3 Written Notes 5.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*5.4 - Logarithmic Functions*	5.4 Written Notes 5.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10
*5.5 - Properties of Logarithms*	5.5 Written Notes 5.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*5.6 - Exponential and Logarithmic Equations*	5.6 Written Notes 5.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10
*5.7 - Financial Models*	5.7 Written Notes 5.7 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5
*5.8 - Exponential Growth and Decay; Newton's Law of Cooling*	5.8 Written Notes 5.8 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9

*CHAPTER 11 - Systems of Equations and Inequalities*
*SECTION*	*NOTES*	*VIDEO LINKS*
*11.6 - Systems of Nonlinear Equations*	11.6 Written Notes 11.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6

Note: The above notes coincide with Sullivan Precalculus, 11th edition, by Michael Sullivan.