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Eric Hutchinson

Mathematics Professor

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Contact Info:

Office: West Charleston, Building H, Room 101C
Office Phone: 702-651-7512
Office Fax: 702-651-5881

Email: eric.hutchinson@csn.edu

 

MATH 126E NOTES

CHAPTER CR - Corequisite Review
SECTION
NOTES
VIDEO LINKS
CR.1 - Operations with Real Numbers and Order of Operations

CR.2 - Fraction and Decimal Operations

CR.3 - Introduction to Algebra, Simplifying Expressions

CR.4 - Solving Linear Equations

CR.5 - The Rectangular Coordinate System and Graphing

CR.6 - Rational Expressions: Reducing to Lowest Terms

CR.7 - Radicals

CR.8 - Monomials and Adding/Subtracting Polynomials

CR.9 - Multiplying Polynomials

CR.10 - Factors: The Greatest Common Factor

CR.11 - Factoring Trinomials

CR.12 - Factoring Higher Power and Special Polynomials

CR.13 - Operations with Square Roots

CR.14 - Solving Quadratic Equations Using Factoring, Square Root Method, Completing the Square, and the Quadratic Formula   

CR.15 - Complex (Imaginary) Numbers

CR.16 - Dividing Polynomials

CR.17 - Complex Fractions

CR.18 - Rational Expressions: Multiplication and Division

CR.19 - Solving Rational Equations

CR.20 - Rational Expressions: Addition and Subtraction

CR.21 - Laws of Exponents (Positive Exponents)

CR.22 - Laws of Exponents (Negative Exponents)

CR.23 - Rational Exponents

CR.24 - Solving Systems of Equations: Graphing, Substitution, and Elimination

CR.25 - Inequalities

CR.26 - Absolute Value



CHAPTER 1 - Graphs
SECTION
NOTES
VIDEO LINKS
1.1 - The Distance and Midpoint Formulas

1.2 - Graphs of Equations in Two Variables; Intercepts; Symmetry

1.3 - Lines

1.4 - Circles



CHAPTER 2 - Functions and Their Graphs
SECTION
NOTES
VIDEO LINKS
2.1 - Functions

2.2 - The Graph of a Function

2.3 - Properties of Functions

2.4 - Library of Functions; Piecewise-defined Functions

2.5 - Graphing Techniques: Transformations

2.6 - Mathematical Models: Building Functions



CHAPTER 3 - Linear and Quadratic Functions
SECTION
NOTES
VIDEO LINKS
3.3 - Quadratic Functions




CHAPTER 4 - Polynomial and Rational Functions
SECTION
NOTES
VIDEO LINKS
4.1 - Polynomial Functions

4.2 - Graphing Polynomial Functions

4.3 - Properties of Rational Functions

4.4 - The Graph of a Rational Function

4.5 - Polynomial and Rational Inequalities

4.6 - The Real Zeros of Polynomial Functions

4.7 - The Complex Zeros of Polynomial Functions



CHAPTER 5- Exponential and Logarithmic Functions  
SECTION
NOTES
VIDEO LINKS
5.1 - Composition of Functions

5.2 - Inverse Functions

5.3 - Exponential Functions

5.4 - Logarithmic Functions

5.5 - Properties of Logarithms

5.6 - Exponential and Logarithmic Equations

5.7 - Financial Models

5.8 - Exponential Growth and Decay; Newton's Law of Cooling



CHAPTER 11 - Systems of Equations and Inequalities
SECTION
NOTES
VIDEO LINKS
11.6 - Systems of Nonlinear Equations


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