MATH 126 ONLINE
PRECALCULUS I: COLLEGE ALGEBRA

INSTRUCTOR INFORMATION:

Shannon Myers

Phone: (760) 757-2121 ext. 6306
e—mail: smyers@miracosta.edu
web page: www.mathchick.net

SYLLABUS

MyMathLab Access Code Instructions

Precalculus I Guided Notebook by Shannon Myers

HOMEWORK can be found on http://pearsonmylabandmastering.com

Lecture Movies

Chapter 1

1.1: The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations
1.2: Intercepts; Symmetry; Graphing Key Equations

1.3: Solving Equations Using a Graphing Utility

1.4: Lines

Chapter 2

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

3.1: Linear Functions and their Properties
3.3: Quadratic Functions and their Properties
3.4: Build Quadratic Models from Verbal Descriptions and from Data
3.5: Inequalities Involving Quadratic Functions

Chapter 4

4.1: Polynomial Functions and Models
4.2: The Real Zeros of a Polynomial Function
4.3: Complex Zeros; Fundamental Theorem of Algebra
4.4: Properties of Rational Functions
4.5: The Graph of a Rational Function
4.6: Polynomial and Rational Inequalities

Chapter 5

5.1: Composite Functions
5.2: One-to-One Functions; Inverse Functions
5.3: Exponential Functions
5.4: Logarithmic Functions
5.5: Properties of Logarithms
5.6: Logarithmic and Exponential Equations
5.7: Financial Models
5.8: Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models

Chapter 11

11.1 (Part 1): Systems of Linear Equations: Substitution and Elimination
11.1 (Part 2): Systems of Linear Equations: Applications
11.5: Partial Fraction Decomposition

EXAM SOLUTIONS

EXAM 1
EXAM 2
EXAM 3

 

PREVIOUS EXAMS AND SOLUTIONS:

EXAM 1/KEY EXAM 3/KEY
EXAM 2/KEY  

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PREREQUISITES

The prerequisite for Math 126 is completion of Math 64 with a grade of “C” or better,
or a qualifying score on the Math Competency Exam (MCE).

COURSE DESCRIPTION

This course covers advanced algebra topics including functions and their properties.  Topics include linear, quadratic, polynomial, rational, exponential, and logarithmic functions and their applications, graphs of functions, inverse functions, and systems of equations and inequalities.

STUDENT LEARNING OUTCOMES

Upon successful completion of Math 126:

For a given set of problems the student will demonstrate quantitative reasoning by developing a problem-solving strategy, performing appropriate analysis and computation, and critically assessing the meaning of the conclusion or outcome.

COURSE OBJECTIVES

At the end of this course you should be able to…

(1) evaluate and simplify algebraic expressions using the rules of exponents, order of operations, combining like terms, and the distributive property
(2) add, subtract, multiply and divide using either monomials or polynomials;
(3) solve a linear equation or inequality and check the solution;
(4) analyze verbal problems, model with appropriate equations, substitute the known values, solve the resulting equations, and interpret the result in the context of the problem;
(5) factor polynomials;
(6) simplify, multiply and divide rational expressions;
(7) graph first degree equations in two variables;
(8) write an equation for a
given line, identify the slope of a line; and
(9) solve quadratic equations by factoring.

 

 

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