Team:UANL Mty-Mexico/math course

From 2012.igem.org

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demanding a different knowledge level.</p>
demanding a different knowledge level.</p>
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<p><b>Phase I </b>has the intention of teaching the students  
+
<p><b>Phase I </b> Has the intention of teaching the students  
theoretical and applicable aspects of differential  
theoretical and applicable aspects of differential  
and integral calculus as a fundamental part in
and integral calculus as a fundamental part in
solving and distinguishing differential equations.</p>
solving and distinguishing differential equations.</p>
-
<p><b>Phase II</b> was designed with the aim of making the
+
<p><b>Phase II</b> Was designed with the aim of making the
students able to understand the applications of  
students able to understand the applications of  
linear transformation of vector spaces for the
linear transformation of vector spaces for the
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<p>The first phase  of the course was successfully imparted
<p>The first phase  of the course was successfully imparted
-
along June and July of this year by M.Sc. Jesús Botello González, professor of the Chemistry Faculty
+
along June and July of this year by M.Sc. Jesús Botello González, professor of the Chemistry School
of our University (UANL). It had a duration of 6 weeks
of our University (UANL). It had a duration of 6 weeks
-
and took place in our faculty; approximately 62 students
+
and took place in our faculty; approximately 40 students
enrolled this course. </p>
enrolled this course. </p>
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well-educated in this field.</p>
well-educated in this field.</p>
-
 
+
<br>
<p><br><b>The subjects that are included in the first phase (Phase I) of this course
<p><br><b>The subjects that are included in the first phase (Phase I) of this course
are:</b><br></p>
are:</b><br></p>
<p><b>1.</b> Precalculus<br><br>
<p><b>1.</b> Precalculus<br><br>
 +
<BLOCKQUOTE>
<b>1.1</b> Elementary algebra<br>
<b>1.1</b> Elementary algebra<br>
<b>1.2</b> Understanding of the behavior of functions through
<b>1.2</b> Understanding of the behavior of functions through
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<b>1.4</b> Function composition<br>
<b>1.4</b> Function composition<br>
<b>1.5</b> Inverse functions<br><br><br>
<b>1.5</b> Inverse functions<br><br><br>
 +
</BLOCKQUOTE>
 +
<b>2.</b> Differential calculus<br><br>
<b>2.</b> Differential calculus<br><br>
 +
<BLOCKQUOTE>
<b>2.1</b> Limits<br>
<b>2.1</b> Limits<br>
<b>2.2</b> Lateral limits<br>
<b>2.2</b> Lateral limits<br>
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<b>2.12</b> Optimization<br>
<b>2.12</b> Optimization<br>
<b>2.13</b> Function graphing using derivatives<br><br><br>
<b>2.13</b> Function graphing using derivatives<br><br><br>
 +
</BLOCKQUOTE>
 +
<b>3.</b> Integral calculus<br><br>
<b>3.</b> Integral calculus<br><br>
 +
<BLOCKQUOTE>
<b>3.1</b> Sigma notation<br>
<b>3.1</b> Sigma notation<br>
<b>3.2</b> Riemann sums (Definite integral definition)<br>
<b>3.2</b> Riemann sums (Definite integral definition)<br>
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<b>3.10</b> Calculation of the volume of solids of revolution with discs and cylindric layers<br>
<b>3.10</b> Calculation of the volume of solids of revolution with discs and cylindric layers<br>
<b>3.11</b> Integration techniques<br>
<b>3.11</b> Integration techniques<br>
 +
</BLOCKQUOTE>
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  <div class="sidebar2">
  <div class="sidebar2">
     <ul class="nav">
     <ul class="nav">
-
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/hp"><li>Notebook</a></li>
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<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/hp"><li>Overview</a></li>
-
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/hp"><li>Notebook</a></li>
+
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/posters_exposition"><li>Posters Exposition</a></li>
-
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/hp"><li>Notebook</a></li>
+
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/training_workshop"><li>CIDEB Workshop</a></li>
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<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/hp"><li>Notebook</a></li>
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<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/chemestry_conference"><li>Conference</a></li>
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<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/hp"><li>Notebook</a></li>
+
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/jrhighschool">Jr. High school<li></a></li>
 +
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/jrhighschoolvisited">Schools Visited<li></a></li>
 +
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/math_course"><li><b>>>Math Model Course</b></a></li>
 +
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/syntheticrally"><li>Synthetic Rally</a></li>
 +
<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/synbio_talk"><li>SynBio Talk</a></li>
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<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/collaboration"><li>Collaboration</a></li>
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<a href="https://2012.igem.org/Team:UANL_Mty-Mexico/media"><li>Media</a></li>
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Latest revision as of 04:00, 27 September 2012

iGEM UANL 2012


Math Modelling Course


This year, the iGEM UANL team decided to establish an introductory course called 'Mathematical Modeling in Systems Biology', with the idea of preparing our faculty students in the mathematical area of biology.

This course is made up of three phases, each one demanding a different knowledge level.

Phase I Has the intention of teaching the students theoretical and applicable aspects of differential and integral calculus as a fundamental part in solving and distinguishing differential equations.

Phase II Was designed with the aim of making the students able to understand the applications of linear transformation of vector spaces for the solution of differential equations that can be applied in systems biology.

Phase III. The objective of this part of the course is that students come to understand the general concepts of systems biology and become familiar with its theoretical basis, having as purpose increasing the student's critical awareness on this area.




Description


This program is based on the UNAM Genomic Sciences career's syllabus, which is an internationally-recognised career by many other universities and prestigious investigation centers in the world.

The first phase of the course was successfully imparted along June and July of this year by M.Sc. Jesús Botello González, professor of the Chemistry School of our University (UANL). It had a duration of 6 weeks and took place in our faculty; approximately 40 students enrolled this course.

M.Sc. Botello will impart phase II as well, but the program has still to be dated.

We think this course is a great step toward the learning of advanced knowledge in the field of molecular biology and genomics that has to be made use of, and it is really important for the UANL students, so that we are well-educated in this field.



The subjects that are included in the first phase (Phase I) of this course are:

1. Precalculus

1.1 Elementary algebra
1.2 Understanding of the behavior of functions through their graphs.
1.3 Functions, dependent and independent variables, domain and range.
1.4 Function composition
1.5 Inverse functions


2. Differential calculus

2.1 Limits
2.2 Lateral limits
2.3 Infinite limits
2.4 Limits tending to infinite
2.5 Behavior of asymptotic rational functions applying limits
2.6 Continuity
2.7 Definition of derivatives
2.8 Derivation rules
2.9 Derivative of a composite function
2.10 Chain rule
2.11 Change rate in relation to time
2.12 Optimization
2.13 Function graphing using derivatives


3. Integral calculus

3.1 Sigma notation
3.2 Riemann sums (Definite integral definition)
3.3 Calculation of the area under a curve with definite integrals
3.4 Integral calculus theorems, including the Fundamental Theorem of Calculus
3.5 Definition of indefinite integrals (anti-derivatives)
3.6 Polynomial function integration
3.7 Integration by substitution
3.8 Calculation of the area between functions
3.9 Calculation of volume by slices
3.10 Calculation of the volume of solids of revolution with discs and cylindric layers
3.11 Integration techniques

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