Corrected minor spelling and grammar mistakes

The link to the Google doodle on this example page includes the correct spelling of Augusta.
I checked the BCS website and I think they run one competition for women, but either way "an annual competitions" should be corrected.

Author: peterhauke

html/lesson3/example.html

@@ -23,29 +23,29 @@ <h1>Hi, I'm Ada Lovelace</h1>
         </ul>
       </div>
       <div class="main">
-        <p>My name is August Ada King. I'm the Countess of Lovelace.</p>
+        <p>My name is Augusta Ada King. I'm the Countess of Lovelace.</p>
 
-        <p>I am a mathematician and a writer. People know me from my work on <a href="https://en.wikipedia.org/wiki/Charles_Babbage">Charle's Babbage's</a> early mechanical general-purpose computer, the Analytical engine. I wrote the first algorithm intended to be processed by a machine. In other words,<span class="highlight"> I am the world's first programmer</span>. </p>
+        <p>I am a mathematician and a writer. People know me from my work on <a href="https://en.wikipedia.org/wiki/Charles_Babbage">Charles Babbage's</a> early mechanical general-purpose computer, the Analytical Engine. I wrote the first algorithm intended to be processed by a machine. In other words,<span class="highlight"> I am the world's first programmer</span>. </p>
 
         <p>My mother, Anne Isabella Byron, was a great help to me as she helped me by promoting my interest in mathematics and logic, but I also never forgot about my dad, who moved to Greece when I was just an infant to help out in the civil war.</p>
 
         <blockquote>&ldquo;I do not believe that my father was such a poet as I shall be an Analyst; for with me the two go together indissolubly.&rdquo;</blockquote>
 
-        <p>Throughout my life, mathematics have been my primary interest. I always question even basic assumptions by integrating poetry, another great love of mine, and science. I also have a keen interest in scientific developments and trends of my era like phrenology and mesmerism.</p>
+        <p>Throughout my life, mathematics has been my primary interest. I always question even basic assumptions by integrating poetry, another great love of mine, and science. I also have a keen interest in scientific developments and trends of my era like phrenology and mesmerism.</p>
 
         <p>
         Charles Babbage wrote the following poem of me
         <br/>
         <span class="poem">
           Forget this world and all its troubles and if<br/>
-          possible its multitudinous Charlatans-every thing<br/>
+          possible its multitudinous Charlatans&mdash;every thing<br/>
           in short but the Enchantress of Numbers.
         </span>
         </p>
 
         <p>The computer language <a href="https://en.wikipedia.org/wiki/Ada_(programming_language)">Ada</a>, was named after me. The Defense Military standard for the language, MIL-STD-1815 was also given the year of my birth.</p>
 
-        <p>These days, the British Computer Society runs an annual competitions for women students of computer science in my name. Also, the annual conference for women undergraduates is named after me. Google also dedicated its <a href="https://www.google.com/doodles/ada-lovelaces-197th-birthday">Google doodle</a> to me, on the 197th anniversary of my birth. </p>
+        <p>These days, the British Computer Society runs an annual competition for women students of computer science in my name. Also, the annual conference for women undergraduates is named after me. Google also dedicated its <a href="https://www.google.com/doodles/ada-lovelaces-197th-birthday">Google doodle</a> to me, on the 197th anniversary of my birth. </p>
 
         <p class="google-doodle">
           <a href="https://www.google.com/doodles/ada-lovelaces-197th-birthday"><img src="https://www.google.com/logos/2012/ada_lovelaces_197th_birthday-991005-hp.jpg" /></a>