Seminar - enriqueareyan.comEnrique Areyan's Page. Math and Computer Science resources, advance undergraduate and graduate level. My work both as a Teacher and Systems Software Developer.http://courses.enriqueareyan.com/math/seminar2020-01-12T03:50:57+00:00enriqueareyan.comenrique3@gmail.comJoomla! - Open Source Content ManagementCarencias transpositivas de la noción de derivada en bachillerato (Teaching Derivatives)2015-07-27T23:48:47+00:002015-07-27T23:48:47+00:00http://courses.enriqueareyan.com/math/applications/59-teaching-derivativesSuper Userenrique3@gmail.com<p style="text-align: justify;">El siguiente trabajo fue escrito por Diego Duque como parte de los requerimientos para obtener el título de <a href="http://educacion.ucm.es/master-universitario-en-estudios-avanzados-en-pedagogia" target="_blank">Máster Universitario en Estudios Avanzados en Pedagogía</a> en <a href="http://educacion.ucm.es/facultad" target="_blank">Facultad de Educación</a> de la <a href="http://www.ucm.es/" target="_blank">Universidad Complutense de Madrid</a>. Puedes descargar el <a href="http://courses.enriqueareyan.com//files/teaching/teachingderivatives/TesisDiegoDuque.pdf" target="_blank">PDF aquí</a>.</p>
<p style="text-align: justify;">RESUMEN:</p>
<p style="text-align: justify;">La derivada ha sido un contenido matemático con una amplia dificultad para la mayoría de los estudiantes de Bachillerato y universitarios. En su didáctica pueden emplearse representaciones gráficas evitando así su estudio únicamente desde un enfoque analítico. Sin embargo, se ha demostrado que existen carencias en su aprendizaje debido a la falta de ilustraciones que representen su significado.</p>
<p style="text-align: justify;">Por tanto, para innovar y poner en práctica técnicas de aprendizaje de la derivada, se utiliza un modelo epistemológico de referencia haciendo uso de la Teoría de la Transposición Didáctica. Una vez finalizado el modelo, este se compara con currículos y libros de texto de la LOE y de la LOMCE. De esta forma se evalúan las carencias didácticas que existen hoy en día en España acerca la derivada. Tras su subsanación se podría fomentar un aprendizaje de la derivada de mayor calidad en el alumnado de Bachillerato.</p>
<p style="text-align: justify;">Palabras clave: derivada, didáctica, modelo epistemológico de referencia, praxeologías, transposición didáctica</p>
<p style="text-align: justify;">The following paper was written by Diego Duque as part of his thesis to obtain the Degree <a href="http://educacion.ucm.es/master-universitario-en-estudios-avanzados-en-pedagogia" target="_blank">Máster Universitario en Estudios Avanzados en Pedagogía</a> at <a href="http://educacion.ucm.es/facultad" target="_blank">Facultad de Educación</a> in <a href="http://www.ucm.es/" target="_blank">Universidad Complutense de Madrid</a>. You can download his work as a <a href="http://courses.enriqueareyan.com//files/teaching/teachingderivatives/TesisDiegoDuque.pdf" target="_blank">PDF file (In Spanish)</a>.</p>
<p style="text-align: justify;">ABSTRACT:</p>
<p style="text-align: justify;">The derivative has been a mathematical content with a large difficulty for most high school and university students. Its didactic can use graphical representations avoiding its study uniquely from an analytical approach. However, it has been shown that there are gaps in its learning due to the lack of illustrations representing its meaning.</p>
<p style="text-align: justify;">Therefore, to innovate and implement the practice of derivative’s learning techniques, an epistemological reference model is used by using the Theory of Didactic Transposition. Once the model is finished, it is compared to syllabuses and textbooks from the LOE and the LOMCE. Thus, it evaluates didactic gaps that exist today in Spain about the derivative. The improvements could foster a better quality learning of derivative in high school students.</p>
<p style="text-align: justify;">Keywords: derivative, didactic, epistemological reference model, praxeology, didactic transposition</p><p style="text-align: justify;">El siguiente trabajo fue escrito por Diego Duque como parte de los requerimientos para obtener el título de <a href="http://educacion.ucm.es/master-universitario-en-estudios-avanzados-en-pedagogia" target="_blank">Máster Universitario en Estudios Avanzados en Pedagogía</a> en <a href="http://educacion.ucm.es/facultad" target="_blank">Facultad de Educación</a> de la <a href="http://www.ucm.es/" target="_blank">Universidad Complutense de Madrid</a>. Puedes descargar el <a href="/files/teaching/teachingderivatives/TesisDiegoDuque.pdf" target="_blank">PDF aquí</a>.</p>
<p style="text-align: justify;">RESUMEN:</p>
<p style="text-align: justify;">La derivada ha sido un contenido matemático con una amplia dificultad para la mayoría de los estudiantes de Bachillerato y universitarios. En su didáctica pueden emplearse representaciones gráficas evitando así su estudio únicamente desde un enfoque analítico. Sin embargo, se ha demostrado que existen carencias en su aprendizaje debido a la falta de ilustraciones que representen su significado.</p>
<p style="text-align: justify;">Por tanto, para innovar y poner en práctica técnicas de aprendizaje de la derivada, se utiliza un modelo epistemológico de referencia haciendo uso de la Teoría de la Transposición Didáctica. Una vez finalizado el modelo, este se compara con currículos y libros de texto de la LOE y de la LOMCE. De esta forma se evalúan las carencias didácticas que existen hoy en día en España acerca la derivada. Tras su subsanación se podría fomentar un aprendizaje de la derivada de mayor calidad en el alumnado de Bachillerato.</p>
<p style="text-align: justify;">Palabras clave: derivada, didáctica, modelo epistemológico de referencia, praxeologías, transposición didáctica</p>
<p style="text-align: justify;">The following paper was written by Diego Duque as part of his thesis to obtain the Degree <a href="http://educacion.ucm.es/master-universitario-en-estudios-avanzados-en-pedagogia" target="_blank">Máster Universitario en Estudios Avanzados en Pedagogía</a> at <a href="http://educacion.ucm.es/facultad" target="_blank">Facultad de Educación</a> in <a href="http://www.ucm.es/" target="_blank">Universidad Complutense de Madrid</a>. You can download his work as a <a href="/files/teaching/teachingderivatives/TesisDiegoDuque.pdf" target="_blank">PDF file (In Spanish)</a>.</p>
<p style="text-align: justify;">ABSTRACT:</p>
<p style="text-align: justify;">The derivative has been a mathematical content with a large difficulty for most high school and university students. Its didactic can use graphical representations avoiding its study uniquely from an analytical approach. However, it has been shown that there are gaps in its learning due to the lack of illustrations representing its meaning.</p>
<p style="text-align: justify;">Therefore, to innovate and implement the practice of derivative’s learning techniques, an epistemological reference model is used by using the Theory of Didactic Transposition. Once the model is finished, it is compared to syllabuses and textbooks from the LOE and the LOMCE. Thus, it evaluates didactic gaps that exist today in Spain about the derivative. The improvements could foster a better quality learning of derivative in high school students.</p>
<p style="text-align: justify;">Keywords: derivative, didactic, epistemological reference model, praxeology, didactic transposition</p>Introduction To Analysis I (Honors)2015-05-25T23:17:15+00:002015-05-25T23:17:15+00:00http://courses.enriqueareyan.com/math/calculus/introduction-to-analysis-i-honorsSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2013 with Prof. <a href="http://www.math.indiana.edu/people/profile.phtml?id=torchins" target="_blank">Alberto Torchinsky</a>. The book we used was <a href="http://www.amazon.com/gp/product/007054235X/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=007054235X&linkCode=as2&tag=enriqueacom-20&linkId=D4CBCJK6HS2V5N6W" target="_blank">Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) (International Series in Pure & Applied Mathematics) by Rudin</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=007054235X" alt="" width="1" height="1" border="0" />. All assignments are from this book. I do not like this book very much and instead prefer other like: <a href="http://www.amazon.com/gp/product/1461462703/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1461462703&linkCode=as2&tag=enriqueacom-20&linkId=NE6OT6O3JJMA2677" target="_blank">Elementary Analysis: The Theory of Calculus by Ross</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1461462703" alt="" width="1" height="1" border="0" /> and <a href="http://www.amazon.com/gp/product/0763714976/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0763714976&linkCode=as2&tag=enriqueacom-20&linkId=R5REYWBRTYGFR6KU" target="_blank">The Way of Analysis, Revised Edition (Jones and Bartlett Books in Mathematics) by Strichartz</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0763714976" alt="" width="1" height="1" border="0" />. The following is a compilation of my solutions to assignments given in class.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW7-Solutions.pdf" target="_blank">Assignment 7</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW8-Solutions.pdf" target="_blank">Assignment 8</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW9-Solutions.pdf" target="_blank">Assignment 9</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW10-Solutions.pdf" target="_blank">Assignment 10</a> (with solutions)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm1.pdf" target="_blank">MidTerm 1</a> - <a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm1-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm2.pdf" target="_blank">MidTerm 2</a> - <a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm2-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Exams/Analysis-FinalExam.pdf" target="_blank">Final Exam</a> (with solutions)</li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Resources/AnalysisNotes.pdf" target="_blank">Notes</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Resources/ComplementaryRudin.pdf" target="_blank">Complement Notes to Rudin</a> (very useful! taken from <a href="https://math.berkeley.edu/~gbergman/" target="_blank">George Bergman website</a>, check it out)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Resources/CantorSet.pdf" target="_blank">Cantor Set</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Resources/CauchyCriterion.pdf" target="_blank">Cauchy Criterion</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Resources/InfiniteSeries-Convergence Tests-LeibnizTheorem.pdf" target="_blank">Infinite Series, Convergence Tests and Leibniz Theorem</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M413 Introduction to Analysis I/Resources/OpenSetProof.pdf" target="_blank">Guide to Open set Proofs</a> (taken from <a href="https://sites.google.com/site/professorsormani/" target="_blank">Professor Sormani's website</a>)</li>
</ul>
<h2>Video Lectures</h2>
<hr />
<ul>
<li><a href="http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3" target="_blank">The University of Nottingham - U-Now Open Courseware - Mathematical analysis<br /></a>(This is a great resource as a complement to your lectures. I highly recommend it)</li>
</ul><p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2013 with Prof. <a href="http://www.math.indiana.edu/people/profile.phtml?id=torchins" target="_blank">Alberto Torchinsky</a>. The book we used was <a href="http://www.amazon.com/gp/product/007054235X/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=007054235X&linkCode=as2&tag=enriqueacom-20&linkId=D4CBCJK6HS2V5N6W" target="_blank">Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) (International Series in Pure & Applied Mathematics) by Rudin</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=007054235X" alt="" width="1" height="1" border="0" />. All assignments are from this book. I do not like this book very much and instead prefer other like: <a href="http://www.amazon.com/gp/product/1461462703/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1461462703&linkCode=as2&tag=enriqueacom-20&linkId=NE6OT6O3JJMA2677" target="_blank">Elementary Analysis: The Theory of Calculus by Ross</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1461462703" alt="" width="1" height="1" border="0" /> and <a href="http://www.amazon.com/gp/product/0763714976/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0763714976&linkCode=as2&tag=enriqueacom-20&linkId=R5REYWBRTYGFR6KU" target="_blank">The Way of Analysis, Revised Edition (Jones and Bartlett Books in Mathematics) by Strichartz</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0763714976" alt="" width="1" height="1" border="0" />. The following is a compilation of my solutions to assignments given in class.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW7-Solutions.pdf" target="_blank">Assignment 7</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW8-Solutions.pdf" target="_blank">Assignment 8</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW9-Solutions.pdf" target="_blank">Assignment 9</a> (with solutions)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Assignments/Analysis-HW10-Solutions.pdf" target="_blank">Assignment 10</a> (with solutions)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm1.pdf" target="_blank">MidTerm 1</a> - <a href="files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm1-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm2.pdf" target="_blank">MidTerm 2</a> - <a href="files/math/M413 Introduction to Analysis I/Exams/Analysis-MidTerm2-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M413 Introduction to Analysis I/Exams/Analysis-FinalExam.pdf" target="_blank">Final Exam</a> (with solutions)</li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="files/math/M413 Introduction to Analysis I/Resources/AnalysisNotes.pdf" target="_blank">Notes</a></li>
<li><a href="files/math/M413 Introduction to Analysis I/Resources/ComplementaryRudin.pdf" target="_blank">Complement Notes to Rudin</a> (very useful! taken from <a href="https://math.berkeley.edu/~gbergman/" target="_blank">George Bergman website</a>, check it out)</li>
<li><a href="files/math/M413 Introduction to Analysis I/Resources/CantorSet.pdf" target="_blank">Cantor Set</a></li>
<li><a href="files/math/M413 Introduction to Analysis I/Resources/CauchyCriterion.pdf" target="_blank">Cauchy Criterion</a></li>
<li><a href="files/math/M413 Introduction to Analysis I/Resources/InfiniteSeries-Convergence Tests-LeibnizTheorem.pdf" target="_blank">Infinite Series, Convergence Tests and Leibniz Theorem</a></li>
<li><a href="files/math/M413 Introduction to Analysis I/Resources/OpenSetProof.pdf" target="_blank">Guide to Open set Proofs</a> (taken from <a href="https://sites.google.com/site/professorsormani/" target="_blank">Professor Sormani's website</a>)</li>
</ul>
<h2>Video Lectures</h2>
<hr />
<ul>
<li><a href="http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6-286d-6b9f-b96c-36a998632fc3" target="_blank">The University of Nottingham - U-Now Open Courseware - Mathematical analysis<br /></a>(This is a great resource as a complement to your lectures. I highly recommend it)</li>
</ul>Introduction To Geometries2015-05-25T22:57:01+00:002015-05-25T22:57:01+00:00http://courses.enriqueareyan.com/math/applications/introduction-to-geometriesSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">ungraduate/graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2014 with Prof. <a href="http://pages.iu.edu/~matweber/IU/Home.html" target="_blank">Matthias Weber</a>. In this course we did not use any textbook but rather follow a class diary written by Prof. Weber after each class. The following is a compilation of my solutions to assignments given in class.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW1.pdf" target="_blank">Assignment 1</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW1-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW2.pdf" target="_blank">Assignment 2</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW2-Solutions.pdf" target="_blank">[Solutions]</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Code/Geometries-HW2-Exercise2.zip">[Code]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW3.pdf" target="_blank">Assignment 3</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW3-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW4.pdf" target="_blank">Assignment 4</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW4-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW5.pdf" target="_blank">Assignment 5</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW5-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW6.pdf" target="_blank">Assignment 6</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW6-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW7.pdf" target="_blank">Assignment 7</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW7-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW8.pdf" target="_blank">Assignment 8</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW8-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW9.pdf" target="_blank">Assignment 9</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW9-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW10.pdf" target="_blank">Assignment 10</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Assignments/Geometries-HW10-Solutions.pdf" target="_blank">[Solutions]</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Code/Geometries-HW10-Exercise1.zip" target="_blank">[Code]</a></li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Exams/Geometries-MidTermPreview.pdf" target="_blank">MidTerm Preview </a>- <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Exams/Geometries-MidTermPreview-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Exams/Geometries-MidTerm.pdf" target="_blank">MidTerm</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Exams/Geometries-FinalExam.pdf" target="_blank">Final Exam</a> - <a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Exams/Geometries-FinalExam-Solutions.pdf" target="_blank">[Solutions]</a></li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Resources/StereographicProjection -RiemannSphere.pdf" target="_blank">Stereographic Projection and Riemann Sphere</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Resources/HyperbolicGeometry.pdf" target="_blank">Hyperbolic Geometry</a> (taken from <a href="http://www.maths.manchester.ac.uk/~cwalkden/hyperbolic-geometry/hyperbolic-geometry.html" target="_blank">Prof. Charles Walkden's webpage</a>, check it out)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Resources/TaxicabGeometry.pdf" target="_blank">Taxicab Geometry</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M436 Introduction to Geometries/Resources/MobiusTransformationsAndCircles.pdf" target="_blank">Mobius Transformations and Circles</a> (taken from <a href="http://www.math.brown.edu/~res/MFS/" target="_blank">Prof. Rich Schwartz's webpages</a>)</li>
</ul><p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">ungraduate/graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2014 with Prof. <a href="http://pages.iu.edu/~matweber/IU/Home.html" target="_blank">Matthias Weber</a>. In this course we did not use any textbook but rather follow a class diary written by Prof. Weber after each class. The following is a compilation of my solutions to assignments given in class.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW1.pdf" target="_blank">Assignment 1</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW1-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW2.pdf" target="_blank">Assignment 2</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW2-Solutions.pdf" target="_blank">[Solutions]</a> - <a href="files/math/M436 Introduction to Geometries/Code/Geometries-HW2-Exercise2.zip">[Code]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW3.pdf" target="_blank">Assignment 3</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW3-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW4.pdf" target="_blank">Assignment 4</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW4-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW5.pdf" target="_blank">Assignment 5</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW5-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW6.pdf" target="_blank">Assignment 6</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW6-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW7.pdf" target="_blank">Assignment 7</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW7-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW8.pdf" target="_blank">Assignment 8</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW8-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW9.pdf" target="_blank">Assignment 9</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW9-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW10.pdf" target="_blank">Assignment 10</a> - <a href="files/math/M436 Introduction to Geometries/Assignments/Geometries-HW10-Solutions.pdf" target="_blank">[Solutions]</a> - <a href="files/math/M436 Introduction to Geometries/Code/Geometries-HW10-Exercise1.zip" target="_blank">[Code]</a></li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="files/math/M436 Introduction to Geometries/Exams/Geometries-MidTermPreview.pdf" target="_blank">MidTerm Preview </a>- <a href="files/math/M436 Introduction to Geometries/Exams/Geometries-MidTermPreview-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Exams/Geometries-MidTerm.pdf" target="_blank">MidTerm</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Exams/Geometries-FinalExam.pdf" target="_blank">Final Exam</a> - <a href="files/math/M436 Introduction to Geometries/Exams/Geometries-FinalExam-Solutions.pdf" target="_blank">[Solutions]</a></li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="files/math/M436 Introduction to Geometries/Resources/StereographicProjection -RiemannSphere.pdf" target="_blank">Stereographic Projection and Riemann Sphere</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Resources/HyperbolicGeometry.pdf" target="_blank">Hyperbolic Geometry</a> (taken from <a href="http://www.maths.manchester.ac.uk/~cwalkden/hyperbolic-geometry/hyperbolic-geometry.html" target="_blank">Prof. Charles Walkden's webpage</a>, check it out)</li>
<li><a href="files/math/M436 Introduction to Geometries/Resources/TaxicabGeometry.pdf" target="_blank">Taxicab Geometry</a></li>
<li><a href="files/math/M436 Introduction to Geometries/Resources/MobiusTransformationsAndCircles.pdf" target="_blank">Mobius Transformations and Circles</a> (taken from <a href="http://www.math.brown.edu/~res/MFS/" target="_blank">Prof. Rich Schwartz's webpages</a>)</li>
</ul>Math2015-05-23T23:33:37+00:002015-05-23T23:33:37+00:00http://courses.enriqueareyan.com/mathSuper Userenrique3@gmail.com<p style="text-align: justify;">In the following list you can find resources, i.e., practice problems, solutions, study guides, or miscellaneous, of the various math courses at the undergraduate and graduate level I have taken. Please feel free to contact me at <img style="display: inline;" src="http://courses.enriqueareyan.com/files/personal/mail.png" alt="" /> with any questions or suggestions. For resources of courses I have assited or teach look at my <a href="http://courses.enriqueareyan.com/teaching">teaching section</a>. For resources on the Computer Science side, take a look at my <a href="http://courses.enriqueareyan.com/computer-science">Computer Science section</a>.</p>
<ul>
<li><a href="http://courses.enriqueareyan.com/math/calculus/calculus-iii">M311 Calculus III</a></li>
<li><a href="http://courses.enriqueareyan.com/math/calculus/calculus-iv">M312 Calculus IV</a></li>
<li><a href="http://courses.enriqueareyan.com/math/calculus/introduction-to-differential-equations-i">M343 Introduction To Differential Equations I</a></li>
<li><a href="http://courses.enriqueareyan.com/math/algebra/introduction-to-modern-algebra-i">M403 Introduction to Modern Algebra I</a></li>
<li><a href="http://courses.enriqueareyan.com/math/algebra/introduction-to-modern-algebra-i-honors">M403 Introduction to Modern Algebra I (Honors)</a></li>
<li><a href="http://courses.enriqueareyan.com/math/algebra/linear-transformations">M409 Linear Transformations</a></li>
<li><a href="http://courses.enriqueareyan.com/math/calculus/introduction-to-analysis-i-honors">M413 Introduction To Analysis I (Honors)</a></li>
<li><a href="http://courses.enriqueareyan.com/math/applications/introduction-to-geometries">M436 Introduction To Geometries</a></li>
<li><a href="http://courses.enriqueareyan.com/math/applications/mathematical-models-and-applications">M447 Mathematical Models and Applications</a></li>
<li><a href="http://courses.enriqueareyan.com/math/applications/mathematical-finance">M451 Mathematical Finance</a></li>
<li><a href="http://courses.enriqueareyan.com/math/probability/introduction-to-probability-i">M463 Introduction To Probability I</a></li>
<li><a href="http://courses.enriqueareyan.com/math/probability/introduction-to-probability-ii">M464 Introduction To Probability II</a></li>
<li><a href="http://courses.enriqueareyan.com/math/seminar/seminar-in-teaching-college-math-i">M595 Seminar in Teaching College Math I</a></li>
<li><a href="http://courses.enriqueareyan.com/math/seminar/reading-and-research">M800 Reading and Research</a></li>
<li><a href="http://courses.enriqueareyan.com/math/statistics/introduction-to-statistics">S520 Introduction to Statistics</a></li>
<li><a href="http://courses.enriqueareyan.com/math/statistics/introduction-to-statistical-theory">S620 Introduction to Statistical Theory</a></li>
<li><a href="http://courses.enriqueareyan.com/math/teaching-algebra">E520 Algebra Throughout the Curriculum</a></li>
<li><a href="http://courses.enriqueareyan.com/math/calculus/nonlinear-optimization-i-spanish">CO5412 Nonlinear Optimization I (Spanish)</a></li>
</ul><p style="text-align: justify;">In the following list you can find resources, i.e., practice problems, solutions, study guides, or miscellaneous, of the various math courses at the undergraduate and graduate level I have taken. Please feel free to contact me at <img style="display: inline;" src="files/personal/mail.png" alt="" /> with any questions or suggestions. For resources of courses I have assited or teach look at my <a href="teaching">teaching section</a>. For resources on the Computer Science side, take a look at my <a href="computer-science">Computer Science section</a>.</p>
<ul>
<li><a href="math/calculus/calculus-iii">M311 Calculus III</a></li>
<li><a href="math/calculus/calculus-iv">M312 Calculus IV</a></li>
<li><a href="math/calculus/introduction-to-differential-equations-i">M343 Introduction To Differential Equations I</a></li>
<li><a href="math/algebra/introduction-to-modern-algebra-i">M403 Introduction to Modern Algebra I</a></li>
<li><a href="math/algebra/introduction-to-modern-algebra-i-honors">M403 Introduction to Modern Algebra I (Honors)</a></li>
<li><a href="math/algebra/linear-transformations">M409 Linear Transformations</a></li>
<li><a href="math/calculus/introduction-to-analysis-i-honors">M413 Introduction To Analysis I (Honors)</a></li>
<li><a href="math/applications/introduction-to-geometries">M436 Introduction To Geometries</a></li>
<li><a href="math/applications/mathematical-models-and-applications">M447 Mathematical Models and Applications</a></li>
<li><a href="math/applications/mathematical-finance">M451 Mathematical Finance</a></li>
<li><a href="math/probability/introduction-to-probability-i">M463 Introduction To Probability I</a></li>
<li><a href="math/probability/introduction-to-probability-ii">M464 Introduction To Probability II</a></li>
<li><a href="math/seminar/seminar-in-teaching-college-math-i">M595 Seminar in Teaching College Math I</a></li>
<li><a href="math/seminar/reading-and-research">M800 Reading and Research</a></li>
<li><a href="math/statistics/introduction-to-statistics">S520 Introduction to Statistics</a></li>
<li><a href="math/statistics/introduction-to-statistical-theory">S620 Introduction to Statistical Theory</a></li>
<li><a href="math/teaching-algebra">E520 Algebra Throughout the Curriculum</a></li>
<li><a href="math/calculus/nonlinear-optimization-i-spanish">CO5412 Nonlinear Optimization I (Spanish)</a></li>
</ul>Mathematical Finance2015-05-25T23:02:49+00:002015-05-25T23:02:49+00:00http://courses.enriqueareyan.com/math/applications/mathematical-financeSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">ungraduate/graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Spring 2015 with Prof. <a href="http://pages.iu.edu/~connell/" target="_blank">Chris Connell</a>. The textbook we used was <a href="http://www.amazon.com/gp/product/0521192536/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0521192536&linkCode=as2&tag=enriqueacom-20&linkId=EJMK7YH7QNO5S7OY" target="_blank">An Elementary Introduction to Mathematical Finance by Ross</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0521192536" alt="" width="1" height="1" border="0" />. This is an ok book but at times a bit confusing. The following is a compilation of my solutions to assignments given in class, note that a<span style="font-size: 12.1599998474121px; line-height: 1.3em;">ll assignments and quizzes are from the book.</span></p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW7-Solutions.pdf" target="_blank">Assignment 7</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW8-Solutions.pdf" target="_blank">Assignment 8</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW9-Solutions.pdf" target="_blank">Assignment 9</a> (with solutions)</li>
</ul>
<h2>Quizzes</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz1-Solutions.pdf" target="_blank">Quiz 1</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz2-Solutions.pdf" target="_blank">Quiz 2</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz3-Solutions.pdf" target="_blank">Quiz 3</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz4-Solutions.pdf" target="_blank">Quiz 4</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz5-Solutions.pdf" target="_blank">Quiz 5</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz6-Solutions.pdf" target="_blank">Quiz 6</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz7-Solutions.pdf" target="_blank">Quiz 7</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz8-Solutions.pdf" target="_blank">Quiz 8</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz9-Solutions.pdf" target="_blank">Quiz 9</a> (with solutions)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Exams/MathematicalFinance-Exam1-Solutions.pdf" target="_blank">Exam 1</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Exams/MathematicalFinance-Exam2-Solutions.pdf" target="_blank">Exam 2</a> (with solutions)</li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Resources/MathematicalFinance-StudyGuide1.pdf" target="_blank">Study Guide 1</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Resources/MathematicalFinance-StudyGuide2.pdf" target="_blank">Study Guide 2</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Code/American Put Option Pricing.zip" target="_blank">American Put Option Pricing</a> (code by <a href="http://pages.iu.edu/~connell/" target="_blank">Prof. Connell</a>)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Resources/MathematicalFinance-ItoLemma.pdf" target="_blank">Notes on Ito's lemma</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M451 Mathematical Finance/Resources/RandomVariableAlgebra.pdf" target="_blank">Random Variable Algebra</a> (from <a href="https://www.rose-hulman.edu/~bryan/" target="_blank">Prof. Kurt Bryan's website</a>)</li>
</ul><p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">ungraduate/graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Spring 2015 with Prof. <a href="http://pages.iu.edu/~connell/" target="_blank">Chris Connell</a>. The textbook we used was <a href="http://www.amazon.com/gp/product/0521192536/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0521192536&linkCode=as2&tag=enriqueacom-20&linkId=EJMK7YH7QNO5S7OY" target="_blank">An Elementary Introduction to Mathematical Finance by Ross</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0521192536" alt="" width="1" height="1" border="0" />. This is an ok book but at times a bit confusing. The following is a compilation of my solutions to assignments given in class, note that a<span style="font-size: 12.1599998474121px; line-height: 1.3em;">ll assignments and quizzes are from the book.</span></p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW7-Solutions.pdf" target="_blank">Assignment 7</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW8-Solutions.pdf" target="_blank">Assignment 8</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Assignments/MathematicalFinance-HW9-Solutions.pdf" target="_blank">Assignment 9</a> (with solutions)</li>
</ul>
<h2>Quizzes</h2>
<hr />
<ul>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz1-Solutions.pdf" target="_blank">Quiz 1</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz2-Solutions.pdf" target="_blank">Quiz 2</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz3-Solutions.pdf" target="_blank">Quiz 3</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz4-Solutions.pdf" target="_blank">Quiz 4</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz5-Solutions.pdf" target="_blank">Quiz 5</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz6-Solutions.pdf" target="_blank">Quiz 6</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz7-Solutions.pdf" target="_blank">Quiz 7</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz8-Solutions.pdf" target="_blank">Quiz 8</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Quizzes/MathematicalFinance-Quiz9-Solutions.pdf" target="_blank">Quiz 9</a> (with solutions)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="files/math/M451 Mathematical Finance/Exams/MathematicalFinance-Exam1-Solutions.pdf" target="_blank">Exam 1</a> (with solutions)</li>
<li><a href="files/math/M451 Mathematical Finance/Exams/MathematicalFinance-Exam2-Solutions.pdf" target="_blank">Exam 2</a> (with solutions)</li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="files/math/M451 Mathematical Finance/Resources/MathematicalFinance-StudyGuide1.pdf" target="_blank">Study Guide 1</a></li>
<li><a href="files/math/M451 Mathematical Finance/Resources/MathematicalFinance-StudyGuide2.pdf" target="_blank">Study Guide 2</a></li>
<li><a href="files/math/M451 Mathematical Finance/Code/American Put Option Pricing.zip" target="_blank">American Put Option Pricing</a> (code by <a href="http://pages.iu.edu/~connell/" target="_blank">Prof. Connell</a>)</li>
<li><a href="files/math/M451 Mathematical Finance/Resources/MathematicalFinance-ItoLemma.pdf" target="_blank">Notes on Ito's lemma</a></li>
<li><a href="files/math/M451 Mathematical Finance/Resources/RandomVariableAlgebra.pdf" target="_blank">Random Variable Algebra</a> (from <a href="https://www.rose-hulman.edu/~bryan/" target="_blank">Prof. Kurt Bryan's website</a>)</li>
</ul>Mathematical Models and Applications2015-05-25T22:59:49+00:002015-05-25T22:59:49+00:00http://courses.enriqueareyan.com/math/applications/mathematical-models-and-applicationsSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">ungraduate/graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2014 with Prof. <a href="http://www.math.indiana.edu/people/profile.phtml?id=dabrowsa" target="_blank">Andrew Dabrowski</a>. The textbook we used was: <a href="http://www.amazon.com/gp/product/0534384781/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0534384781&linkCode=as2&tag=enriqueacom-20&linkId=U2PUAIEYRLRV3L6U" target="_blank">Mathematical Modeling and Computer Simulation by Maki and Thompson</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0534384781" alt="" width="1" height="1" border="0" />, a really cool and easy book to get your feet wet with computer simulation, I highly recommend it. All the assignments are from the book. The following is a compilation of my solutions to assignments given in class.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Code/FlipCoin.zip" target="_blank">Flip Coin Simulator</a> (code in <a href="http://php.net/" target="_blank">PhP</a>)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Exams/MathModels-PracticeExam1.pdf" target="_blank">Practice Exam 1 </a>(no solutions provided)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam1.pdf" target="_blank">Exam 1</a> - <a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam1-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Exams/MathModels-PracticeExam2.pdf" target="_blank">Practice Exam 2</a> (no solutions provided)</li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam2.pdf" target="_blank">Exam 2</a> - <a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam2-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Exams/MathModels-PracticeFinalExam.pdf" target="_blank">Practice Final Exam</a> (no solutions provided)</li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Resources/MarkovChainsProofs.pdf" target="_blank">Markov Chains Proofs</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M447 Mathematical Models and Applications/Resources/QueuingFormulas.pdf" target="_blank">Queuing Formulas</a></li>
</ul>
<h2>Simulation Project: FIFA WORLD CUP SIMULATOR</h2>
<hr />
<p>This is the project that I created for this class. The following is a summary of the project. </p>
<p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">ungraduate/graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2014 with Prof. <a href="http://www.math.indiana.edu/people/profile.phtml?id=dabrowsa" target="_blank">Andrew Dabrowski</a>. The textbook we used was: <a href="http://www.amazon.com/gp/product/0534384781/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0534384781&linkCode=as2&tag=enriqueacom-20&linkId=U2PUAIEYRLRV3L6U" target="_blank">Mathematical Modeling and Computer Simulation by Maki and Thompson</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0534384781" alt="" width="1" height="1" border="0" />, a really cool and easy book to get your feet wet with computer simulation, I highly recommend it. All the assignments are from the book. The following is a compilation of my solutions to assignments given in class.</p>
<h2>Assignments</h2>
<hr />
<ul>
<li><a href="files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW1-Solutions.pdf" target="_blank">Assignment 1</a> (with solutions)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW2-Solutions.pdf" target="_blank">Assignment 2</a> (with solutions)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW3-Solutions.pdf" target="_blank">Assignment 3</a> (with solutions)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW4-Solutions.pdf" target="_blank">Assignment 4</a> (with solutions)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW5-Solutions.pdf" target="_blank">Assignment 5</a> (with solutions)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Assignments/MathModels-HW6-Solutions.pdf" target="_blank">Assignment 6</a> (with solutions)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Code/FlipCoin.zip" target="_blank">Flip Coin Simulator</a> (code in <a href="http://php.net/" target="_blank">PhP</a>)</li>
</ul>
<h2>Exams</h2>
<hr />
<ul>
<li><a href="files/math/M447 Mathematical Models and Applications/Exams/MathModels-PracticeExam1.pdf" target="_blank">Practice Exam 1 </a>(no solutions provided)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam1.pdf" target="_blank">Exam 1</a> - <a href="files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam1-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M447 Mathematical Models and Applications/Exams/MathModels-PracticeExam2.pdf" target="_blank">Practice Exam 2</a> (no solutions provided)</li>
<li><a href="files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam2.pdf" target="_blank">Exam 2</a> - <a href="files/math/M447 Mathematical Models and Applications/Exams/MathModels-Exam2-Solutions.pdf" target="_blank">[Solutions]</a></li>
<li><a href="files/math/M447 Mathematical Models and Applications/Exams/MathModels-PracticeFinalExam.pdf" target="_blank">Practice Final Exam</a> (no solutions provided)</li>
</ul>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="files/math/M447 Mathematical Models and Applications/Resources/MarkovChainsProofs.pdf" target="_blank">Markov Chains Proofs</a></li>
<li><a href="files/math/M447 Mathematical Models and Applications/Resources/QueuingFormulas.pdf" target="_blank">Queuing Formulas</a></li>
</ul>
<h2>Simulation Project: FIFA WORLD CUP SIMULATOR</h2>
<hr />
<p>This is the project that I created for this class. The following is a summary of the project. </p>
Nonlinear Optimization I (Spanish)2015-05-25T23:32:43+00:002015-05-25T23:32:43+00:00http://courses.enriqueareyan.com/math/calculus/nonlinear-optimization-i-spanishSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a undergraduate/graduate level course being offered at the <a href="http://www.cesma.usb.ve/" target="_blank">Centro de Estadística y Matemática Aplicada</a> of <a href="http://www.usb.ve" target="_blank">Universidad Simón Bolívar</a>. I took this course on 2011 with <a href="http://www.co.usb.ve/es/node/97" target="_blank">Prof. María de los Angeles González</a>. We used Prof. González's notes as a textbook for this course but some recommended books are: <a href="http://www.amazon.com/gp/product/0387303030/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0387303030&linkCode=as2&tag=enriqueacom-20&linkId=URM7WSGT4UONBCKN" target="_blank">Numerical Optimization (Springer Series in Operations Research and Financial Engineering) by Nocedal and Wright</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0387303030" alt="" width="1" height="1" border="0" /> and <a href="http://www.amazon.com/gp/product/1886529000/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1886529000&linkCode=as2&tag=enriqueacom-20&linkId=SD3LMC7Z76MA5I4G" target="_blank">Nonlinear Programming by Bertsekas</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1886529000" alt="" width="1" height="1" border="0" />. The following is a compilation of my solutions to the assignments given in class, all in Spanish.</p>
<p style="text-align: justify;">Este es un curso combinado de pregrado y postgrado ofertado por el <a href="http://www.cesma.usb.ve/" target="_blank">Centro de Estadística y Matemática Aplicada</a> de la <a href="http://www.usb.ve" target="_blank">Universidad Simón Bolívar</a>. Yo participé en este curso en el año 2011 cuando fue dictado por la <a href="http://www.co.usb.ve/es/node/97" target="_blank">Prof. María de los Angeles González</a>. En el mismo utilizamos las notas de la Prof. González como libro de texto. Sin embargo, otra literatura recomendada es (en inglés): <a href="http://www.amazon.com/gp/product/0387303030/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0387303030&linkCode=as2&tag=enriqueacom-20&linkId=URM7WSGT4UONBCKN" target="_blank">Numerical Optimization (Springer Series in Operations Research and Financial Engineering) by Nocedal and Wright</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0387303030" alt="" width="1" height="1" border="0" /> and <a href="http://www.amazon.com/gp/product/1886529000/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1886529000&linkCode=as2&tag=enriqueacom-20&linkId=SD3LMC7Z76MA5I4G" target="_blank">Nonlinear Programming by Bertsekas</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1886529000" alt="" width="1" height="1" border="0" />. A continuación encontrarás una compilación de las tareas y principales recursos desarrollados durante el curso.</p>
<h2>Tareas</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea1.pdf" target="_blank">Tarea 1</a> - <a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea1-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea2.pdf" target="_blank">Tarea 2</a> - <a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea2-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea3.pdf" target="_blank">Tarea 3</a> - <a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea3-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea4.pdf" target="_blank">Tarea 4</a> - <a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea4-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea5.pdf" target="_blank">Tarea 5</a> - <a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea5-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea6.pdf" target="_blank">Tarea 6</a> - <a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea6-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea7.pdf" target="_blank">Tarea 7</a></li>
</ul>
<h2>Recursos</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Recursos/ResumenTema1.pdf" target="_blank">Resumen Tema 1</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Recursos/ResumenOptimizacionNoLineal.pdf" target="_blank">Notas</a> de la <a href="http://www.co.usb.ve/es/node/97" target="_blank">Prof. María de los Angeles González</a> </li>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Recursos/OptimizaionNoLineal.pdf" target="_blank">Notas</a> de otro curso escritas por el <a href="https://lc.fie.umich.mx/~calderon/" target="_blank">Dr. Félix Calderón Solorio</a></li>
</ul>
<h2>Código en MatLab</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/CO5412 Nonlinear Optimization I (Spanish)/Codigo/OptimizacionNoLineal-MatLab.zip" target="_blank">Comprimido con todo el código desarrollado en el curso</a></li>
</ul><p style="text-align: justify;">This is a undergraduate/graduate level course being offered at the <a href="http://www.cesma.usb.ve/" target="_blank">Centro de Estadística y Matemática Aplicada</a> of <a href="http://www.usb.ve" target="_blank">Universidad Simón Bolívar</a>. I took this course on 2011 with <a href="http://www.co.usb.ve/es/node/97" target="_blank">Prof. María de los Angeles González</a>. We used Prof. González's notes as a textbook for this course but some recommended books are: <a href="http://www.amazon.com/gp/product/0387303030/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0387303030&linkCode=as2&tag=enriqueacom-20&linkId=URM7WSGT4UONBCKN" target="_blank">Numerical Optimization (Springer Series in Operations Research and Financial Engineering) by Nocedal and Wright</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0387303030" alt="" width="1" height="1" border="0" /> and <a href="http://www.amazon.com/gp/product/1886529000/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1886529000&linkCode=as2&tag=enriqueacom-20&linkId=SD3LMC7Z76MA5I4G" target="_blank">Nonlinear Programming by Bertsekas</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1886529000" alt="" width="1" height="1" border="0" />. The following is a compilation of my solutions to the assignments given in class, all in Spanish.</p>
<p style="text-align: justify;">Este es un curso combinado de pregrado y postgrado ofertado por el <a href="http://www.cesma.usb.ve/" target="_blank">Centro de Estadística y Matemática Aplicada</a> de la <a href="http://www.usb.ve" target="_blank">Universidad Simón Bolívar</a>. Yo participé en este curso en el año 2011 cuando fue dictado por la <a href="http://www.co.usb.ve/es/node/97" target="_blank">Prof. María de los Angeles González</a>. En el mismo utilizamos las notas de la Prof. González como libro de texto. Sin embargo, otra literatura recomendada es (en inglés): <a href="http://www.amazon.com/gp/product/0387303030/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0387303030&linkCode=as2&tag=enriqueacom-20&linkId=URM7WSGT4UONBCKN" target="_blank">Numerical Optimization (Springer Series in Operations Research and Financial Engineering) by Nocedal and Wright</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=0387303030" alt="" width="1" height="1" border="0" /> and <a href="http://www.amazon.com/gp/product/1886529000/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1886529000&linkCode=as2&tag=enriqueacom-20&linkId=SD3LMC7Z76MA5I4G" target="_blank">Nonlinear Programming by Bertsekas</a><img style="border: none !important; margin: 0px !important;" src="http://ir-na.amazon-adsystem.com/e/ir?t=enriqueacom-20&l=as2&o=1&a=1886529000" alt="" width="1" height="1" border="0" />. A continuación encontrarás una compilación de las tareas y principales recursos desarrollados durante el curso.</p>
<h2>Tareas</h2>
<hr />
<ul>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea1.pdf" target="_blank">Tarea 1</a> - <a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea1-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea2.pdf" target="_blank">Tarea 2</a> - <a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea2-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea3.pdf" target="_blank">Tarea 3</a> - <a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea3-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea4.pdf" target="_blank">Tarea 4</a> - <a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea4-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea5.pdf" target="_blank">Tarea 5</a> - <a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea5-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea6.pdf" target="_blank">Tarea 6</a> - <a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea6-Solucion.pdf" target="_blank">[Solución]</a></li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Tareas/OptimizationNoLineal-Tarea7.pdf" target="_blank">Tarea 7</a></li>
</ul>
<h2>Recursos</h2>
<hr />
<ul>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Recursos/ResumenTema1.pdf" target="_blank">Resumen Tema 1</a></li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Recursos/ResumenOptimizacionNoLineal.pdf" target="_blank">Notas</a> de la <a href="http://www.co.usb.ve/es/node/97" target="_blank">Prof. María de los Angeles González</a> </li>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Recursos/OptimizaionNoLineal.pdf" target="_blank">Notas</a> de otro curso escritas por el <a href="https://lc.fie.umich.mx/~calderon/" target="_blank">Dr. Félix Calderón Solorio</a></li>
</ul>
<h2>Código en MatLab</h2>
<hr />
<ul>
<li><a href="files/math/CO5412 Nonlinear Optimization I (Spanish)/Codigo/OptimizacionNoLineal-MatLab.zip" target="_blank">Comprimido con todo el código desarrollado en el curso</a></li>
</ul>Reading and Research2015-05-25T23:24:08+00:002015-05-25T23:24:08+00:00http://courses.enriqueareyan.com/math/seminar/reading-and-researchSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course two times: the first on Summer 2014 and the second on Spring 2015, both times with with Prof. <a href="http://xavier.informatics.indiana.edu/~ehaghver/" target="_blank">Esfandiar Haghverdi</a>. We are currently working on <a href="http://courses.enriqueareyan.com/computer-science/machine-learning">Machine Learning</a> techniques applied to Financial Markets. I will post more info as it become available.</p><p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course two times: the first on Summer 2014 and the second on Spring 2015, both times with with Prof. <a href="http://xavier.informatics.indiana.edu/~ehaghver/" target="_blank">Esfandiar Haghverdi</a>. We are currently working on <a href="computer-science/machine-learning">Machine Learning</a> techniques applied to Financial Markets. I will post more info as it become available.</p>Seminar in Teaching College Math I2015-05-25T23:21:16+00:002015-05-25T23:21:16+00:00http://courses.enriqueareyan.com/math/seminar/seminar-in-teaching-college-math-iSuper Userenrique3@gmail.com<p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2014 with Prof. <a href="http://www.math.indiana.edu/people/profile.phtml?id=holdenl" target="_blank">Linda McKinley</a>. There was no assigned textbook but rather handouts given on a regular basis. The following is a compilation some of the handouts given in this seminar.</p>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="http://courses.enriqueareyan.com/files/math/M595 Seminar in Teaching College Math I/Resources/Syllabus.pdf" target="_blank">Syllabus</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M595 Seminar in Teaching College Math I/Resources/EffectiveMathTeachers.pdf" target="_blank">Effective Math Teachers</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M595 Seminar in Teaching College Math I/Resources/FosteringLearningOutsideClassroom.pdf" target="_blank">Fostering Learning Outside Classroom</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M595 Seminar in Teaching College Math I/Resources/RookieTeachingMistakes.pdf" target="_blank">Rookie Teaching Mistakes</a></li>
<li><a href="http://courses.enriqueareyan.com/files/math/M595 Seminar in Teaching College Math I/Resources/SuggestionForWrittingMathExams.pdf" target="_blank">Suggestion For Writting Math Exams</a></li>
</ul><p style="text-align: justify;">This is a <a href="http://www.math.indiana.edu/graduate/course.phtml" target="_blank">graduate level</a> course being offered at <a href="http://www.iu.edu" target="_blank">Indiana University</a> by the <a href="http://math.indiana.edu" target="_blank">Math Department</a>. I took this course on Fall 2014 with Prof. <a href="http://www.math.indiana.edu/people/profile.phtml?id=holdenl" target="_blank">Linda McKinley</a>. There was no assigned textbook but rather handouts given on a regular basis. The following is a compilation some of the handouts given in this seminar.</p>
<h2>Resources</h2>
<hr />
<ul>
<li><a href="files/math/M595 Seminar in Teaching College Math I/Resources/Syllabus.pdf" target="_blank">Syllabus</a></li>
<li><a href="files/math/M595 Seminar in Teaching College Math I/Resources/EffectiveMathTeachers.pdf" target="_blank">Effective Math Teachers</a></li>
<li><a href="files/math/M595 Seminar in Teaching College Math I/Resources/FosteringLearningOutsideClassroom.pdf" target="_blank">Fostering Learning Outside Classroom</a></li>
<li><a href="files/math/M595 Seminar in Teaching College Math I/Resources/RookieTeachingMistakes.pdf" target="_blank">Rookie Teaching Mistakes</a></li>
<li><a href="files/math/M595 Seminar in Teaching College Math I/Resources/SuggestionForWrittingMathExams.pdf" target="_blank">Suggestion For Writting Math Exams</a></li>
</ul>