

<title>  Bob Gardner's "Courses" webpage </title>
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Information on Courses Taught by <br>Bob Gardner
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Here's the information on the <b>courses I am teaching in fall 2023</b>:
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<a href="5410/sillab-fall23.htm">
Modern Algebra 1</a>
<br> (MATH 54100)
<br>Fall 2023</b></center>
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<td><center><b>
<a href="5510/sillab-fall23.htm">
Complex Analysis 1</a>
<br> (MATH 5510)
<br>Fall 2023</b></center>
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<p>
For my <b>office hours</b>, click on Homer:
<center><a href="hours.htm"><img src="homer-write.jpg" width="152" height="150" border=3></a></center>
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Copies of <em>many</em> <b>more syllabi</b> from courses I have taught are available in my <a href="courses-archive.htm">syllabus archive</a>. 
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Copies of many of my <b>class notes</b> are online as given below.  I now also have a <a href="notes-index.htm">partial index of the notes</a> available. Some older class notes can be found on my <a href="archives.htm">Archives</a> webpage.  <b>Additional class notes</b> which are still in preparation are <a href="notes-in-prep.htm">here</a>.
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Graduate Level Analysis<br>

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<img src="5210/royden4.jpg" alt="Royden's Analysis Book" width="175" height="250" border=3><br>
<font size="5">Real Analysis<br>
<a href="5210/notes1.htm">Part 1</a>,
<a href="5210/notes2.htm">Part 2</a>,<br>
<a href="5210/notes3.htm">Part 3</a><br>
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<a href="5510/notes.htm">
<img src="5510/conway2.jpg" alt="Conways second edition" width="170" height="250" border=3><br>
<font size="5"> Complex Analysis<br> Core</a>, 
<a href="5510/notes2.htm">Additional</a>
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<a href="Func/notes.htm">
<img src="Promislow.jpg" alt="Promislow's Functional Analysis Book" width="175" height="250" border=3><br>
<font size="5"> Functional Analysis</a> 
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Graduate Level Algebra, Discrete Math, and Geometry<br>
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<img src="5410/Hungerford.jpg" alt="Hungerford's Algebra Book" width="175" height="250" border=3><br>
<font size="5">Modern Algebra
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<a href="5410/notes-groups.htm">Groups</a>, 
<a href="5410/notes-rings.htm">Rings and Modules</a>, <br> 
<a href="5410/notes-fields.htm">Fields</a>
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<a href="5090/notes.htm">
<img src="Gentle-2017.jpg" alt="Gentle's Matrix Algebra, 2nd edition" width="175" height="250" border=3><br>
<font size="5">Theory of Matrices</a>
</center> </td>
<td> <center>
<img src="Bondy-Murty-GT.jpg" alt="Bondy and Murty's Graph Theory" width="175" height="250" border=3><br>
<a href="5340/notes-Bondy-Murty-GT.htm"><font size="5">Graph Theory 1</a>, <br>
<a href="5340/notes2-Bondy-Murty-GT.htm"><font size="5">Graph Theory 2</a>  
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<td> <center>
<img src="Bondy-Murty-GT.jpg" alt="Bondy and Murty's Graph Theory" width="175" height="250" border=3><br>
<a href="5340/notes-Math-Modeling-GT.htm"><font size="5">Mathematical Modeling <br>Using Graph Theory</a>
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<a href="5310/notes.htm">
<img src="faber.jpg" alt="Faber's Differential Geometry Book" width="175" height="250" border=3><br>
<font size="5"> Differential Geometry</a> 
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Senior/Graduate Level Pure Math<br>
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<a href="5357/notes.htm">
<img src="Munkres.jpg" alt="Munkres Topology Book" width="175" height="250" border=3><br>
<font size="5">General Topology</a> 
<br><a href="5357/notes2.htm">Algebraic Topology</a>
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<a href="4217/notes.htm">
<img src="4217/kirkwood.jpg" alt="Kirkwood's Analysis Book" width="175" height="250" border=3><br>
<font size="5">Analysis 1</a> 
<br><a href="4217/notes2.htm">Analysis 2</a>
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<td> <center>
<a href="5337/notes.htm">
<img src="5337/Brown-Churchill-8.bmp" alt="Brown and Chruchill 8th edition" width="170" height="250" border=3><br>
<font size="5"> Complex Variables</a> 
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<td> <center>
<img src="fraleigh7.jpg" alt="Fraleigh's Abstract Algebra Book" width="175" height="250" border=3><br>
<font size="5">Introduction to <br>Modern Algebra<br>
<a href="4127/notes.htm">Part 1</a>, 
<a href="4127/notes2.htm">Part 2</a> 
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<td> <center>
<a href="Knot-Theory/Notes-Livingston.htm">
<img src="Knot-Theory-Livingston.jpg" alt="Livingston's Knot Theory" width="175" height="250" border=3><br>
<font size="5">Introduction to Knot Theory</a>  
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<td> <center>
<a href="5347/notes-Hartsfield-Ringel.htm">
<img src="5347/Pearls-Dover.jpg" alt="Pearls in Graph Theory Book" width="175" height="250" border=3><br>
<font size="5"> 
Introduction to <br>Graph Theory</a>
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<font size="5"> Introduction to Modern Geometry<br>
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<td> <center>
<a href="Geometry/Geometry-History-notes.htm">
<img src="Ostermann-Wanner.jpg" alt="Ostermann and Wanner's Geometry by its History" width="175" height="250" border=3><br>
<font size="5">Geometry <br> History</a>  </center> </td>
 <td> <center>
<a href="Geometry/Geometry-notes-Wylie.htm">
<img src="Wylie-Dover.jpg" alt="Wylie's Foundations of Geometry" width="175" height="250" border=3><br>
<font size="5"> Axiomatic <br> Method</a>  </center> </td>
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<td> <center>
<font size="5"> Axiomatic and Transformational Geometry<br>
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<td> <center>
<a href="Geometry/Geometry-notes.htm">
<img src="Pedoe.jpg" alt="Pedoe's Geometry: A Comprehensive Course" width="175" height="250" border=3><br>
<font size="5"> Transformational <br> Geometry</a> </center></td>
<td> <center>
<img src="Finite-Geometries-Ball.jpg" alt="Ball's Finite Geometry and Combinatorial Applications" width="175" height="250" border=3><br>
<font size="5"> Finite <br> Geometry </center></td>
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Some Applied Topics<br>
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<a href="2610/notes.htm">
<img src="Bedford-Fowler-2.jpg" alt="Bedford and Fowler's Statics Book" width="185" height="250" border=3><br>
<font size="5"> Applied Mechanics 1 <br> (Statics) </a> 
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<td> <center>
<a href="notes-bio.htm">
<img src="DNA.jpg" alt="DNA Replication from Cosmos" width="200" height="250" border=3><br>
<font size="5">Genetics and Math Biology</a> </center> </td>
<td> <center>
<a href="Differential-Equations/DE-Boyce-DiPrima5-notes.htm">
<img src="Boyce-DiPrima5.jpg" alt="Boyce and DiPrima's Elementary DEs and BVPs" width="175" height="250" border=3><br>
<font size="5">Differential Equations 2</a> </center> </td>
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<a href="Func/notes-Debnath-Mikusinski1.htm">
<img src="DM1-book.jpg" alt="Debnath and Mikusinski's Introduction to Hilbert Spaces with Applications" width="175" height="250" border=3><br>
<font size="5">Applied Hilbert Spaces<br> (Applied Math 1)</a>  </center> </td>
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<td> <center>
<a href="Differential-Equations/DE-Waltman-notes.htm">
<img src="Waltman.jpg" alt="Waltman' Second Course in Elementary DEs" width="175" height="250" border=3><br>
<font size="5">Ordinary Differential Equations<br> (Applied Math 1)</a> </center> </td>
<td> <center>
<a href="5610/PDE-Strauss-notes.htm">
<img src="Strauss1.jpg" alt="Strauss' PDEs: Introduction" width="175" height="250" border=3><br>
<font size="5">Partial Differential Equations<br> (Applied Math 2)</a> </center> </td>
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Freshman, Sophomore, Junior Level<br>
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<a href="1910/notes-14.htm">
<img src="Thomas-14E.jpg" alt="Thomas' Calculus" width="200" height="250" border=3><br>
<font size="5"> Calculus 1</a> 
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<td> <center>
<a href="1920/12/notes12.htm">
<img src="thomas12.bmp" alt="Thomas' Calculus" width="200" height="250" border=3><br>
<font size="5"> Calculus 2</a> 
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<td><center>
<a href="2110/notes-12e/notes.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12" width="200" height="250" border=3><br>
<font size="5"> Calculus 3</a> 
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<td> <center>
<a href="2010/notes.htm">
<img src="Fraleigh.jpg" alt="Fraleigh's Linear Algebra Book" width="185" height="250" border=3><br>
<font size="5"> Linear Algebra </a> 
</center> </td>
<td> <center>
<a href="Differential-Equations/DE-Ross4-notes.htm">
<img src="Ross-DE-4.jpg" alt="Ross's Introduction to ODEs Book" width="185" height="250" border=3><br>
<font size="5"> Differential Equations </a> 
</center> </td>
<td> <center> 
<a href="2710/notes.htm">
<img src="Rosen4.jpg" alt="Rosens's Discrete Math and Applications, 4th edition" width="175" height="250" border=3><br>
<font size="5">Discrete Structures</a>  </center> </td>
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 <td> <center>
<a href="3000/Math-Reasoning-Gerstein.htm">
<img src="Gerstein2.jpg" alt="Gerstein's Introduction to Mathematical Structures and Proofs, 2nd Edition" width="175" height="250" border=3><br>
<font size="5">Mathematical Reasoning</a>  </center> </td>
<td> <center>
<a href="3120/Number-Theory-notes.htm">
<img src="Dudley2-Dover.jpg" alt="Dudley's Elementary Number Theory, 2nd Edition" width="175" height="250" border=3><br>
<font size="5">Elementary <br>Number Theory<br></a> 
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<a href="3040/notes-Eves6.htm">
<img src="Eves6.jpg" alt="Eves' An Introduction to the History of Mathematics, 6th Edition (1990)" width="175" height="250" border=3><br>
<font size="5">History of Math</a> 
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Probability and Statistics<br>
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<a href="1530/notes.htm">
<img src="moore-4.jpg" alt="Moore's Basic Practice of Statistics, 4th Edition" width="175" height="250" border=3><br>
<font size="5"> Probability and Statistics</a> 
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<td> <center>
<a href="4047/notes-Hogg-McKean-Craig.htm">
<img src="Hogg-Craig-8.jpg" alt="Hogg, McKean, Craig's Introduction to Mathematical Statistics 8th Edition" width="185" height="250" border=3><br>
<font size="5">Mathematical Statistics 1</a> <br>
<a href="4047/notes-Hogg-McKean-Craig2.htm">Mathematical Statistics 2</a> </center> </td>
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Other<br>
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<a href="Astronomy/Astro-Snow3-notes.htm">
<img src="Snow3.jpg" alt="Snow's Dynamic Astronomy, 3rd Edition" width="175" height="250" border=3><br>
<font size="5">Astronomy</a> 
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<a href="1710/notes-Precalculus-Sullivan10.htm">
<img src="Sullivan-Precalculus10.jpg" alt="Sullivan's Precalculus 10th edition" width="175" height="250" border=3><br>
<font size="5"> Precalculus 1 (Algebra)</a> 
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<td> <center>
<a href="1720/notes.htm">
<img src="sullivan7.jpg" alt="Sullivan's Precalculus 7th edition" width="175" height="250" border=3><br>
<font size="5"> Precalculus 2 (Trigonometry)</a> 
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<a href="5025/notes-5025.htm">
<img src="Heart-of-Math2.jpg" alt="Heart of Math 2nd edition" width="175" height="250" border=3><br>
<font size="5"> Foundations and Structure<br> of Mathematics 1 </a> 
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<p>
Some <b>solutions to tests</b> which I have given over the past few years are online:
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<a href="1710/Test-Solutions/test-solutions.htm"> 
<img src="Sullivan-Precalculus10.jpg" alt="Sullivan's Precalculus 10th edition" width="200" height="250" border=3><br>
<font size="5"> Precalculus 1</a> 
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<td><center>
<a href="1910/Test Solutions/test-solutions.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12" width="200" height="250" border=3><br>
<font size="5"> Calculus 1</a> 
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<td><center>
<a href="1920/Test Solutions/test-solutions.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12" width="200" height="250" border=3><br>
<font size="5"> Calculus 2</a> 
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<td><center>
<a href="2110/Test Solutions/test-solutions.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12" width="200" height="250" border=3><br>
<font size="5"> Calculus 3</a> 
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<td> <center>
<a href="2010/Test Solutions/test-solutions.htm">
<img src="Fraleigh.jpg" alt="Fraleigh's Linear Algebra Book" width="185" height="250" border=3><br>
<font size="5"> Linear Algebra </a> 
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<p>
<b>Video lectures</b> prepared for select online classes are available at:
<br>
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<center><a href="Dr-Bob-Online-University.htm"><img src="Dr-Bob-Online-U.jpg" height="150"><br><b>Dr. Bob's Online University</b></a></center></td>
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<p>
Return to <a href="gardner.htm"> Bob Gardner's home page </a>
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<em>Last updated: June 6, 2023.</em>
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