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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
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<title>Math113 College Algebra | Mike Pierce</title>
<meta name="author" content="Mike Pierce">
<meta name="description" content="Course outline/schedule and resources for Mike's College Algebra (with Applications) at CMU">
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<body>
<header>
<h1>College Algebra</h1>
<ul>
<li> <a href="..">Mike Pierce</a> </li>
<li> Math113 </li>
<li> Spring2024 </li>
<li class="screen"> <a href="https://github.com/mikepierce/Outline-CollegeAlgebra">Fork on GitHub</a> </li>
<li class="print"> Hosted at <a class="url" href="https://org.coloradomesa.edu/~mapierce2/113/">coloradomesa.edu/~mapierce2/113</a> </li>
</ul>
</header>
<main>
<p class="screen">
Within each section are links to notes, video lectures,
technology guides, demonstrations in Desmos,
problem sheets, assignments, and past midterm exams.
Chapters enumerated with § refer to
<a href="https://www.pearson.com/en-us/subject-catalog/p/college-algebra-in-context-with-applications-for-the-managerial-life-and-social-sciences/P200000006206/9780136880899"><cite>College Algebra 6ed</cite>, Harshbarger & Yocco</a>.
</p>
<nav class="screen">
<ul class="inline">
<!-- <li><a href="summary">Narrative Course Summary</a></li> -->
<li><a href="workflow">Suggested Course Workflow</a></li>
<!-- <li><a href="TK">TK</a></li> -->
<ul>
</nav>
<nav>
<h3 id="one">Week One · January 22</h3>
<details>
<summary>Mon/Tuesday – §1.1 Functions and Models </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/FunctionDefn.aspx"><cite>The Definition of a Function</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/FkUEsP9efFg"><cite>Introduction to Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/p1sGAHulT8w"><cite>How to Evaluate Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/LvUCDcp6Z3k"><cite>Finding the Domain of Functions</cite>, Professor Leonard</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/functions-models.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §1.2 Graphs of Functions</summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Graphing.aspx"><cite>Graphing</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/7N_-G4usp6Q"><cite>Features of Graphs, Domain, Range</cite>, Professor Leonard</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/7mzhrztiut">$TWTR Regression Example</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/hkomllikkb">Graphing Fahrenheit/Celsius </a></li>
<li> Desmos Guide: <a href="https://help.desmos.com/hc/en-us/articles/4405489674381-Tables">Tables and Scatter-plots</a></li>
<li> TI-Calc Guide: <a href="https://www.dummies.com/article/technology/electronics/graphing-calculators/how-to-graph-functions-on-the-ti-84-plus-160993/"><cite>How to Graph Functions</cite></a></li>
<li> TI-Calc Guide: <a href="https://www.dummies.com/article/technology/electronics/graphing-calculators/how-to-plot-two-variable-data-on-the-ti-84-plus-160917/"><cite>How to Plot Two-Variable Data</cite></a></li>
</ul>
<ul class="inline">
<li> <a href="problems/graphs-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<h3 id="two">Week Two · January 29</h3>
<details>
<summary>Mon/Tuesday – Syllabus, and §1.3 Linear Functions </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Lines.aspx"><cite>Lines</cite>, Paul Dawkins</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/linear-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §1.4 Equations of Lines</summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveLinearEqns.aspx"><cite>Linear Equations</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/LinearApps.aspx"><cite>Applications of Linear Equations</cite>, Paul Dawkins</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/iyiohmzd9e">Scatterplot Example</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/equations-lines.html">Class Problem Sheet</a></li>
</ul>
</details>
<h3 id="three">Week Three · February 5</h3>
<details>
<summary>Mon/Tuesday – §2.1 Solutions of Linear Equations </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolutionSets.aspx"><cite>Solutions and Solution Sets</cite>, Paul Dawkins</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/solutions-linear-equations.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §2.2 Fitting Lines to Data Points </summary>
<ul>
<li> TI-Calc Guide: <a href="https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/34506"><cite>Linear Regression</cite></a> </li>
<li> TI-Calc Guide: <a href="https://www.dummies.com/article/technology/electronics/graphing-calculators/regression-modeling-on-the-ti-84-plus-160903/"><cite>Regression Modeling</cite></a> </li>
<li> Excel Guide: <a href="https://support.microsoft.com/en-us/office/add-a-trend-or-moving-average-line-to-a-chart-fa59f86c-5852-4b68-a6d4-901a745842ad"><cite>Add a trend or moving average line to a chart</cite></a> </li>
<li> Excel Guide: <a href="https://www.investopedia.com/ask/answers/062215/how-can-i-run-linear-and-multiple-regressions-excel.asp"><cite>Creating a Linear Regression Model</cite></a> </li>
<li> Desmos Guide: <a href="https://help.desmos.com/hc/en-us/articles/4406972958733-Regressions">Regressions</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/k5blx2abxh">US Life Expectancy (Simple Sample)</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/uks3ny4cll">US Life Expectancy</a> </li>
<li> Excel: <a class="url" href="docs/US-Life-Expectancy-Simple-Sample.xlsx" download>US-Life-Expectancy-Simple-Sample.xlsx</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/fitting-lines-data.html">Class Problem Sheet</a></li>
<li> <a href="assignments/regression">Regression Project</a> </li>
</ul>
</details>
<h3 id="four" >Week Four · February 12</h3>
<details>
<summary>Mon/Tuesday – §2.3 Systems of Linear Equations and §2.4 Inequalities </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SystemsTwoVrble.aspx/"><cite>Linear Systems with Two Variables</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SystemsThreeVrble.aspx"><cite>Linear Systems with Three Variables</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveLinearInequalities.aspx"><cite>Linear Inequalities</cite>, Paul Dawkins</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/systems-linear-equations.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – <strong>First Midterm Exam</strong></summary>
<ul>
<li>
Past Exams:
<ul class="inline">
<li> <a href="midterms/2022Fall-Midterm1.pdf">2022Fall</a> </li>
<li> <a href="midterms/2023Spring-Midterm1.pdf">2023Spring</a> </li>
<li> <a href="midterms/2023Fall-Midterm1.pdf">2023Fall</a> </li>
<li> <a href="midterms/2024Spring-Midterm1.pdf">2024Spring</a> </li>
</ul>
</li>
</ul>
</details>
<h3 id="five">Week Five · February 19</h3>
<details>
<summary>Mon/Tuesday – §3.1 Quadratic Functions; Parabolas </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveQuadraticEqnsI.aspx"><cite>Quadratic Equations, Part I</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/OIEkJaPgjKs"><cite>Introduction to Solving Quadratics</cite>, Professor Leonard</a></li>
<li> Desmos: <a href="ihttps://www.desmos.com/calculator/pjw1xq9tnx">Quadratic Functions (Parabolas) Demo</a></li>
<li> Video: <a href="https://youtu.be/jrje73EyKag">Burning Stuff With 2000ºF Solar Power!!</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/quadratic-functions-parabolas.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §3.2 Solving Quadratic Equations </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveQuadraticEqnsII.aspx"><cite>Quadratic Equations, Part II</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveQuadraticEqnSummary.aspx"><cite>Quadratic Equations, A Summary</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/QuadraticApps.aspx"><cite>Applications of Quadratic Equations</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Parabolas.aspx"><cite>Parabolas</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/mXAd6rkNSK0"><cite>The Square Root Method in Solving Quadratics</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/mXAd6rkNSK0"><cite>Using Factoring to Solve Quadratics</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/pYSYL_vy6YQ"><cite>Completing the Square Made Easy</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/2BUg_w1Cu9E"><cite>Proving the Quadratic Formula</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/2BUg_w1Cu9E"><cite>Using the Quadratic Formula</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/VH4tzzBVbgA"><cite>Graphing Quadratic Functions</cite>, Professor Leonard</a></li>
<li> TI-Calc Guide: <a href="https://org.coloradomesa.edu/~mapierce2/quadratic/">Programming the Quadratic Formula into a TI-83/84+ Calculator</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/solving-quadratic-equations.html">Class Problem Sheet</a></li>
</ul>
</details>
<h3 id="six">Week Six · February 26</h3>
<details>
<summary>Mon/Tuesday – §3.3 Power and Root Functions, and Direct Variation</summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/IntegerExponents.aspx"><cite>Integer Exponents</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/RationalExponents.aspx"><cite>Rational Exponents</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Radicals.aspx"><cite>Radicals</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveRadicalEqns.aspx"><cite>Equations with Radicals</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/FXTlAPOBA_U"><cite>Power Functions</cite>, Professor Leonard</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/butlihj0pa">Power & Root Functions</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/hrbwnasxyp">Population of Nigeria</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/power-root-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §3.5 Quadratic and Power Modelling</summary>
<ul>
<li> TI-Calc Guide: <a href="https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/11931"><cite>Quadratic Regression</cite></a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/eeqw9g3t6w">UN World Population Model</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/quadratic-power-modelling.html">Class Problem Sheet</a></li>
</ul>
</details>
<h3 id="seven">Week Seven · March 4</h3>
<details>
<summary>Mon/Tuesday - §3.4 Piecewise-Defined Functions </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/GraphFunctions.aspx"><cite>Graphing Functions</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveAbsValueEqns.aspx"><cite>Absolute Value Equations</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveAbsValueIneq.aspx"><cite>Absolute Value Inequalities</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/KHZKgl_9o7M"><cite>How to Graph Piecewise Functions</cite>, Professor Leonard</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/b942shuvzg">GJ Water Utility Rates</a></li>
<!-- <li> Desmos: <a href="https://www.desmos.com/calculator/lgdpyilziq">Piecewise Windchill Factor</a></li> -->
</ul>
<ul class="inline">
<li> <a href="problems/piecewise-defined-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §4.1 Transformations of Graphs and §4.2 Combining Functions </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Transformations.aspx"><cite>Transformations</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Symmetry.aspx"><cite>Symmetry</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/CombineFunctions.aspx"><cite>Combining Functions</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/sTCRB6hMsC4"><cite>Introduction to Graph Transformations</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/HkrMJLSpJFI"><cite>How to Graph with Transformations</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/7N_-G4usp6Q"><cite>Operations of Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/EsgHKmLSPVc"><cite>Composition of Functions</cite>, Professor Leonard</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/2ftl1qpklq">Function Transformations</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/transformations-combining-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<h3 id="eight">Week Eight · March 11</h3>
<details>
<summary>Mon/Tuesday – §4.3 One-to-One and Inverse Functions</summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/InverseFunctions.aspx"><cite>Inverse Functions</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/C0Q_m2UDerc"><cite>One to One Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/fK7IPeeZoFE"><cite>Finding Inverse Functions</cite>, Professor Leonard</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/one-to-one-inverse-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – <strong>Second Midterm Exam</strong></summary>
<ul>
<li>
Past Exams:
<ul class="inline">
<li> <a href="midterms/2022Fall-Midterm2.pdf">2022Fall</a> </li>
<li> <a href="midterms/2023Spring-Midterm2.pdf">2023Spring</a> </li>
<li> <a href="midterms/2023Fall-Midterm2.pdf">2023Fall</a> </li>
<li> <a href="midterms/2024Spring-Midterm2.pdf">2024Spring</a> </li>
</ul>
</li>
</ul>
</details>
<h3 id="nine">Week Nine · March 18</h3>
<ul>
<li>Spring Break, No Class</li>
</ul>
<h3 id="ten">Week Ten · March 25</h3>
<details>
<summary>Mon/Tuesday – §5.1 Exponential Functions </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/ExpFunctions.aspx"><cite>Exponential Functions</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/2w14jBb0e9Q"><cite>Graphs of Exponential Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/uycM-AzUDQ4"><cite>Graphing Exponential Functions with Transformations</cite>, Professor Leonard</a></li>
<li> Article: <a href="https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/"><cite>An Intuitive Guide To Exponential Functions & <var>e</var></cite>, BetterExplained</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/exponential-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §5.2 Logarithmic Functions </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/LogFunctions.aspx"><cite>Logarithmic Functions</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/jfnTwz79PWU"><cite>Introduction to Logarithms and Their Graphs</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/swC7KrDO0Uo"><cite>Graphing Logarithms with Transformations</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/u0uScdsBPfk"><cite>Properties of Logarithms</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/qCeN653SdX4"><cite>How to Expand Logarithms</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/YrU8fYchnIU"><cite>How to Combine Logarithms</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/tgcFt8zGnNE"><cite>How to Change the Base of a Logarithm</cite>, Professor Leonard</a></li>
<li> Article: <a href="https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/"><cite>Demystifying the Natural Logarithm (ln)</cite>, BetterExplained</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/logarithmic-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<h3 id="eleven">Week Eleven · April 1</h3>
<details>
<summary>Mon/Tuesday – §5.3 Exponential and Logarithmic Equations </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveLogEqns.aspx"><cite>Solving Logarithmic Equations</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/ExpLogApplications.aspx"><cite>Applications</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/KezbqAAlOZk"><cite>Introduction to Solving Logarithms and Exponentials</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/gkUWLFontZU"><cite>Solving Exponential Functions with Common Bases</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/82fonULPl64"><cite>Solving Logarithms with Common Bases</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/jNUyVClUQfc"><cite>Solving Logarithmic Equations with Exponentials</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/rDcLCA2W-UI"><cite>Solving Exponential Equations wit Logarithms</cite>, Professor Leonard</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/exponential-logarithmic-equations.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §5.4 Exponential and Logarithmic Models </summary>
<ul>
<li> Lecture: <a href="https://youtu.be/rO-C48LY2KY"><cite>Exponential Growth and Decay</cite>, Professor Leonard</a></li>
<li> Article: <a href="https://betterexplained.com/articles/using-logs-in-the-real-world/"><cite>Using Logarithms in the Real World</cite>, BetterExplained</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/hrbwnasxyp">Population of Nigeria</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/qissvkodje">Logarithmic Modelling</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/uks3ny4cll">US Life Expectancy</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/m328tsdz7y">Ebola Epidemic</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/exponential-logarithmic-models.html">Class Problem Sheet</a></li>
<li> Ebola Project </li>
</ul>
</details>
<h3 id="twelve">Week Twelve · April 8</h3>
<details>
<summary>Mon/Tuesday – §5.5 Exponential Functions and Investing </summary>
<ul>
<li> Article: <a href="https://betterexplained.com/articles/a-visual-guide-to-simple-compound-and-continuous-interest-rates/"><cite>A Visual Guide to … Interest Rates</cite>, BetterExplained</a></li>
<li> Article: <a href="https://www.investopedia.com/terms/e/exponential-growth.asp"><cite>Exponential Growth …</cite>, Investopedia</a> </li>
<li> Article: <a href="https://www.investopedia.com/terms/c/compounding.asp"><cite>What Is Compounding?</cite>, Investopedia</a> </li>
<li> Article: <a href="https://www.investopedia.com/personal-finance/apr-apy-bank-hopes-cant-tell-difference/"><cite>APR vs APY: What’s the Difference?</cite>, Investopedia</a> </li>
<li> Article: <a href="https://www.investopedia.com/terms/e/eulers-constant.asp"><cite>Euler’s Number … Used in Finance</cite>, Investopedia</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/exponential-investing.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §5.6 Annuities; Loan Repayment </summary>
<ul>
<li> Article: <a href="https://www.investopedia.com/terms/a/annuity.asp"><cite>Guide to Annuities …</cite>, Investopedia </a> </li>
<li> Article: <a href="https://www.investopedia.com/ask/answers/070915/what-difference-between-present-value-annuity-and-future-value-annuity.asp"><cite>Present Value Vs. Future Value in Annuities</cite>, Investopedia</a> </li>
<li> Article: <a href="https://www.investopedia.com/terms/p/present-value-annuity.asp"><cite>Present Value of an Annuity …</cite>, Investopedia</a> </li>
<li> Article: <a href="https://www.investopedia.com/terms/f/future-value-annuity.asp"><cite>Future Value of an Annuity …</cite>, Investopedia</a> </li>
<li> Article: <a href="https://www.investopedia.com/terms/a/annuity-table.asp"><cite>Annuity Table</cite>, Investopedia</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/annuities.html">Class Problem Sheet</a></li>
<li> <a href="assignments/finance">Personal Finance Project</a> </li>
</ul>
</details>
<h3 id="thirteen">Week Thirteen · April 15</h3>
<details>
<summary>Mon/Tuesday – §5.7 Logistic and Gompertz Functions </summary>
<ul>
<li> Desmos: <a href="https://www.desmos.com/calculator/hkzaqekiec">Logistic and Gompertz Functions</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/zp8glfmszs">Population of China</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/mhuk8tri1l">Ebola Epidemic</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/logistic-gompertz.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – <strong>Third Midterm Exam</strong></summary>
<ul>
<li>
Past Exams:
<ul class="inline">
<li> <a href="midterms/2022Fall-Midterm3.pdf">2022Fall</a> </li>
<li> <a href="midterms/2023Spring-Midterm3.pdf">2023Spring</a> </li>
<li> <a href="midterms/2023Fall-Midterm3.pdf">2023Fall</a> </li>
<li> <a href="midterms/2024Spring-Midterm3.pdf">2024Spring</a> </li>
</ul>
</li>
</ul>
</details>
<h3 id="fourteen">Week Fourteen · April 22</h3>
<details>
<summary>Mon/Tuesday – §6.1 Higher-Degree Polynomial Functions </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Polynomials.aspx"><cite>Polynomials</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/6Uh3Z6DJ_pI"><cite>Introduction to Polynomial Functions</cite>, Professor Leonard</a></li>
<li> Desmos: <a href="https://www.desmos.com/calculator/7mzhrztiut">$TWTR Regression Example</a> </li>
<li> Desmos: <a href="https://www.desmos.com/calculator/x0okpyzajj">GJ Average Daily Temperature 2021</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/higher-degree-polynomial.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §6.2 Cubic and Quartic Functions </summary>
<ul>
<li> TI-Calc Guide <a href="https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/11919"><cite>Calculating cubic regression</a> </li>
<li> TI-Calc Guide <a href="https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/11931"><cite>Calculating quartic regression</a> </li>
</ul>
<ul class="inline">
<li> <a href="problems/cubic-quartic-functions.html">Class Problem Sheet</a></li>
<li> <a href="assignments/assignments-sequel">Regression Project Sequel</a> </li>
</ul>
</details>
<h3 id="fifteen">Week Fifteen · April 29</h3>
<details>
<summary>Mon/Tuesday – §6.3 Solving Polynomial Equations </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/ReducibleToQuadratic.aspx"><cite>Equations Reducible To Quadratic In Form</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/GraphingPolynomials.aspx"><cite>Graphing Polynomials</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/Factoring.aspx"><cite>Factoring Polynomials</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/v-pnhWbHmQ8"><cite>Creating Polynomials from Real Zeros</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/Gxh-mEt1K-o"><cite>Multiplicity and End Behavior of Polynomials</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/6MAtqY6Fqjs"><cite>How to Sketch Polynomial Functions</cite>, Professor Leonard</a></li>
<li> Article: <a href="https://www.investopedia.com/terms/w/weightedaverage.asp"><cite>Weighted Average … Investopedia </a> </li>
<li> <a href="docs/poly-history">An Embellished History of Factoring Polynomials</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/solving-polynomial-equations.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §6.4 The Fundamental Theorem of Algebra</summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/ZeroesOfPolynomials.aspx"><cite>Zeroes/Roots Of Polynomials</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/FindingZeroesOfPolynomials.aspx"><cite>Finding Zeros of Polynomials</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/g7wEpxwgB3w"><cite>How to Use the Rational Zeros Theorem</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/xuhk2kSVwe0"><cite>Finding All Solutions of Polynomials</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/AKJgo-WR_K4"><cite>Synthetic Division and Long Division of Polynomials</cite>, Professor Leonard</a></li>
<li> Article: <a href="https://en.wikipedia.org/wiki/Fundamental_theorem_of_algebra"><cite>The Fundamental Theorem of Algebra</cite>, Wikipedia </a></li>
<li> Article: <a href="https://en.wikipedia.org/wiki/Rational_root_theorem"><cite>Rational Root Theorem</cite>, Wikipedia</a></li>
<li class="extra"> Tool: <a href="https://samuelj.li/complex-function-plotter/#z">Samuel Li’s Complex Function Plotter</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/fundamental-theorem-algebra.html">Class Problem Sheet</a></li>
</ul>
</details>
<h3 id="sixteen">Week Sixteen · May 6</h3>
<details>
<summary>Mon/Tuesday – §6.5 Rational Functions </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/RationalExpressions.aspx"><cite>Rational Expressions</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/GraphRationalFcns.aspx"><cite>Rational Functions</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/DividingPolynomials.aspx"><cite>Dividing Polynomials</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/y-bSJaEonho"><cite>Finding Vertical Asymptotes of Rational Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/-k4uXF4hsAs"><cite>Graphing Rational Functions with Transformations</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/D-H9N-_Y77Y"><cite>Finding a Horizontal Asymptote of a Rational Function</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/NVhaVk4wNu8"><cite>Finding an Oblique Asymptote of a Rational Function</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/tyXWPcvSQvk"><cite>Finding Asymptotes and Holes of Rational Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/wHATRiYbPPA"><cite>Graphing Rational Functions</cite>, Professor Leonard</a></li>
</ul>
<ul class="inline">
<li> <a href="problems/rational-functions.html">Class Problem Sheet</a></li>
</ul>
</details>
<details>
<summary>Wednes/Thursday – §6.6 Rational Inequalities </summary>
<ul>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolvePolyInequalities.aspx"><cite>Polynomial Inequalities</cite>, Paul Dawkins</a></li>
<li> Notes: <a href="https://tutorial.math.lamar.edu/Classes/Alg/SolveRationalInequalities.aspx"><cite>Rational Inequalities</cite>, Paul Dawkins</a></li>
<li> Lecture: <a href="https://youtu.be/qFJ-Mq0XcTI"><cite>Inequalities with Polynomial Functions</cite>, Professor Leonard</a></li>
<li> Lecture: <a href="https://youtu.be/QSh1xcbYKZk"><cite>Inequalities with Rational Functions</cite>, Professor Leonard</a></li>
</ul>
</details>
<h2 id="final">Final Exam</h2>
<ul>
<li>Section 005 → Monday May 13 @ 10am</li>
<li>Section 001 → Wednesday May 15 @ 10am</li>
</ul>
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