OpenStaxCollege

OpenStaxCollege
http://openstaxcollege.org
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OpenStax College is a nonprofit organization committed to improving student access to quality learning materials. Our free textbooks are developed and peer-reviewed by educators to ensure they are readable, accurate, and meet the scope and sequence requirements of your course. Through our partnerships with companies and foundations committed to reducing costs for students, OpenStax College is working to improve access to higher education for all. OpenStax College is an initiative of Rice University and is made possible through the generous support of several philanthropic foundations.

Government Spending

<para>By the end of this section, you will be able to:</para> <ul> <li>Identify U.S. budget deficit and surplus trends over the past five decades</li> <li>Explain the differences between the U.S. federal budget, and state and local budgets</li> </ul>

Graphs of Linear Functions

In this section, you will:<ul><li>Graph linear functions.</li><li>Write the equation for a linear function from the graph of a line.</li><li>Given the equations of two lines, determine whether their graphs are parallel or perpendicular.</li><li>Write the equation of a line parallel or perpendicular to a given line.</li><li>Solve a system of linear equations.</li></ul>

Balancing Keynesian and Neoclassical Models

By the end of this section, you will be able to: <ul> <li>Evaluate how neoclassical economists and Keynesian economists react to recessions</li> <li>Analyze the interrelationship between the neoclassical and Keynesian economic models</li> </ul>

Partial Fractions

In this section, you will: <ul><li>Decompose   P( x ) Q( x ) ,  where  Q( x )  has only nonrepeated linear factors.</li> <li>Decompose   P( x ) Q( x ) ,  where  Q( x )  has repeated linear factors.</li> <li>Decompose   P( x ) Q( x ) ,  where  Q( x )  has a nonrepeated irreducible quadratic factor.</li> <li>Decompose   P( x ) Q( x ) ,  where  Q( x )  has a repeated irreducible quadratic factor.</li></ul>

Solving Systems with Cramer's Rule

In this section, you will: <ul><li>Evaluate  2 × 2  determinants.</li> <li>Use Cramer’s Rule to solve a system of equations in two variables.</li> <li>Evaluate  3 × 3  determinants.</li> <li>Use Cramer’s Rule to solve a system of three equations in three variables.</li> <li>Know the properties of determinants.</li></ul>

International Environmental Issues

<para>By the end of this section, you will be able to:</para> <ul> <li>Explain biodiversity</li> <li>Analyze the partnership of high-income and low-income countries in efforts to address international externalities</li> </ul>

Parametric Equations: Graphs

In this section you will:<ul><li>Graph plane curves described by parametric equations by plotting points.</li><li>Graph parametric equations.</li></ul>

Zeros of Polynomial Functions

In this section, you will:<ul><li>Evaluate a polynomial using the Remainder Theorem.</li><li>Use the Factor Theorem to solve a polynomial equation.</li><li>Use the Rational Zero Theorem to find rational zeros.</li><li>Find zeros of a polynomial function.</li><li>Use the Linear Factorization Theorem to find polynomials with given zeros.</li><li>Use Descartes’ Rule of Signs.</li><li>Solve real-world applications of polynomial equations</li></ul>

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