ACADMath/ipowers.html at main · MrBrightMath/ACADMath · GitHub

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<!doctype html>
<html lang="en">
    <head>
        <meta charset="UTF-8" />
        <title>Powers of Complex Numbers</title>
        <meta name="viewport" content="width=device-width, initial-scale=1" />
        <link rel="preconnect" href="https://fonts.googleapis.com" />
        <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin />
        <link
            href="https://fonts.googleapis.com/css2?family=Roboto:ital,wght@0,100;0,300;0,400;0,500;0,700;0,900;1,100;1,300;1,400;1,500;1,700;1,900&display=swap"
            rel="stylesheet" />
        <link href="https://fonts.googleapis.com/css2?family=Bebas+Neue&display=swap" rel="stylesheet" />
        <link href="https://fonts.googleapis.com/css2?family=Teko:wght@300..700&display=swap" rel="stylesheet" />
        <link rel="stylesheet" href="https://www.w3schools.com/w3css/4/w3.css" />
        <link
            rel="stylesheet"
            href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" />
        <link rel="stylesheet" href="styles.css" />
        <script src="ipowers.js"></script>
        <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
    </head>
    <body>
        <!-- Header -->
        <div class="w3-container spartan">
            <h1>
                <a href="index.html"><i class="fa fa-home"></i></a> ACAD Math Apps
            </h1>
            <img src="Images/Spartan-Logo2.png" height="50" class="logo" />
        </div>

        <!-- Body -->
        <div class="w3-container">
            <h2>Powers of Complex Numbers</h2>
            <p>Click START to generate a problem.  Then simplify the problem using your knowledge of the powers of i.</p>

            <div class="w3-panel w3-border-green w3-leftbar w3-topbar">
                <h3>Powers of i</h3>
                <ul>
                    <li>\(i^1 = i\)</li>
                    <li>\(i^2 = -1\)</li>
                    <li>\(i^3 = -i\)</li>
                    <li>\(i^4 = 1\)</li>
                </ul>
                <p>For higher powers, the pattern repeats.</p>
            </div>
            <button onclick="startFresh()" class="start" id="startFresh">Start</button
            ><button onclick="debug()" style="visibility: hidden">Debug</button
            ><button onclick="check()" class="next" id="check" style="visibility: hidden">Check Answer</button
            ><button onclick="nextProb()" class="next" id="nextProb" style="visibility: hidden">Next Problem</button>
            <div><br /></div>
            <div id="newScores" class="scoreGrid">
                <div class="scoreCard">
                    <span class="scoreText">CORRECT:</span>
                    <br /><span class="scoreText" id="correct">0</span>
                </div>
                <div class="scoreCard">
                    <span class="scoreText">GUESSES:</span>
                    <br /><span class="scoreText" id="guesses">0</span>
                </div>
                <div class="scoreCard">
                    <span class="scoreText">PERCENT:</span>
                    <br /><span class="scoreText" id="percent">0</span>
                </div>
            </div>

            <div id="result"><h2 style="color: darkgreen;">--</h2></div>
            <div id="problem">Problem will display here</div>
            <br />
            <label for="answerInput">Type Answer Here:</label>
            <input name="answerInput" id="answerInput"/>
            <br /><br />

            <div class="w3-panel w3-border-green w3-leftbar w3-topbar">
                <h3>Complex Number Operations</h3>
                <p>Remember that imaginary numbers can only be added with other imaginary numbers.  For example, \(3i+5i=8i\), but \(3i+5=3i+5\).</p>
            </div>
            <button onclick="startFresh3()" class="start" id="startFresh3">Start</button
            ><button onclick="debug3()" style="visibility: hidden">Debug</button
            ><button onclick="check3()" class="next" id="check3" style="visibility: hidden">Check Answer</button
            ><button onclick="nextProb3()" class="next" id="nextProb3" style="visibility: hidden">Next Problem</button>
            <div><br /></div>
            <div id="newScores3" class="scoreGrid">
                <div class="scoreCard">
                    <span class="scoreText">CORRECT:</span>
                    <br /><span class="scoreText" id="correct3">0</span>
                </div>
                <div class="scoreCard">
                    <span class="scoreText">GUESSES:</span>
                    <br /><span class="scoreText" id="guesses3">0</span>
                </div>
                <div class="scoreCard">
                    <span class="scoreText">PERCENT:</span>
                    <br /><span class="scoreText" id="percent3">0</span>
                </div>
            </div>

            <div id="result3"><h2 style="color: darkgreen;">--</h2></div>
            <div id="problem3">Problem will display here</div>
            <br />
            <label for="answerInput3">Type Answer Here:</label>
            <input name="answerInput3" id="answerInput3"/>
            <br /><br />

            <div class="w3-panel w3-border-green w3-leftbar w3-topbar">
                <h3>Powers of Complex Numbers</h3>
                <ul>
                    <li>\(i^1 = i\)</li>
                    <li>\(i^2 = -1\)</li>
                    <li>\(i^3 = -i\)</li>
                    <li>\(i^4 = 1\)</li>
                </ul>
                <p>For higher powers, the pattern repeats.</p>
                <p><b>Binomial Coefficients for \((x+y)^n\)</b></p>
                <img src="Images/pascal.jpg" height="175px"/>
            </div>
            <button onclick="startFresh2()" class="start" id="startFresh2">Start</button
            ><button onclick="debug2()" style="visibility: hidden">Debug</button
            ><button onclick="check2()" class="next" id="check2" style="visibility: hidden">Check Answer</button
            ><button onclick="nextProb2()" class="next" id="nextProb2" style="visibility: hidden">Next Problem</button>
            <div><br /></div>
            <div id="newScores2" class="scoreGrid">
                <div class="scoreCard">
                    <span class="scoreText">CORRECT:</span>
                    <br /><span class="scoreText" id="correct2">0</span>
                </div>
                <div class="scoreCard">
                    <span class="scoreText">GUESSES:</span>
                    <br /><span class="scoreText" id="guesses2">0</span>
                </div>
                <div class="scoreCard">
                    <span class="scoreText">PERCENT:</span>
                    <br /><span class="scoreText" id="percent2">0</span>
                </div>
            </div>

            <div id="result2"><h2 style="color: darkgreen;">--</h2></div>
            <div id="problem2">Problem will display here</div>
            <br />
            <label for="answerInput2">Type Answer Here:</label>
            <input name="answerInput2" id="answerInput2"/>
            <br /><br />
        </div>
    </body>
</html>