

<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 2025</b>:
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<td><center><b><a href="Differential-Equations/sillab-fall25.htm">
Differential Equations</a>
<br> (MATH 2120)
<br>Fall 2025</b></center> 
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<td><center><b><a href="4217/sillab-fall25.htm">Analysis 1</a>
<br> (MATH 4217/5217)
<br>Fall 2025</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" alt="Office Hours; Homer Simpson image" 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 class notes are online as given below. These notes are posted on Google Drive, but require no password or login to access. The notes are regularly updated and errors corrected as they are discovered. They should remain available for the foreseeable future.
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<p>
Older versions of the notes housed on the ETSU server can be accessed through my <a href="courses-E.htm">Course Notes on the ETSU Server webpage</a> (though this version of my notes is no longer updated or corrected, effective May 2024). These older versions are subject to deletion at some time in the future. 
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<p> 
<a href="notes-in-prep.htm"> <b>Additional class notes</b> </a> which are still in preparation are also available.
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Graduate Level Analysis<br>

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<td> <center>
<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-G.htm">Part 1</a>,
<a href="5210/notes2-G.htm">Part 2</a>,<br>
<a href="5210/notes3-G.htm">Part 3</a> 
</center> </td>
<td> <center>
<a href="5510/notes-G.htm">
<img src="5510/conway2.jpg" alt="Conways Complex Analysis book, second edition" width="170" height="250" border=3><br>
<font size="5"> Complex Analysis Core</a>, <br>
<a href="5510/notes2-G.htm">Additional</a> 
</center> </td>
<td> <center>
<a href="Func/notes-G.htm">
<img src="Promislow.jpg" alt="Promislow's Functional Analysis Book" width="175" height="250" border=3><br>
<font size="5"> Functional Analysis</a> 
</center> </td>
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Graduate Level Algebra, Geometry, and Discrete Math<br>
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<td> <center>
<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-G.htm">Groups</a>, 
<a href="5410/notes-rings-G.htm">Rings and Modules</a>, <br> 
<a href="5410/notes-fields-G.htm">Fields</a>
</center> </td>
<td> <center>
<a href="5090/notes-G.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>
<a href="5310/notes-G.htm">
<img src="faber.jpg" alt="Faber's Differential Geometry Book" width="175" height="250" border=3><br>
<font size="5"> Differential Geometry</a>
</center> </td>
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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-Bondy-Murty-GT-G.htm"><font size="5">Graph Theory 1</a>, <br>
<a href="5340/notes2-Bondy-Murty-GT-G.htm"><font size="5">Graph Theory 2</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-Math-Modeling-GT-G.htm"><font size="5">Mathematical Modeling <br>Using Graph Theory</a> 
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<td> <center>
<a href="5340/notes-Godsil-Royle-AlgebraicGT-G.htm">
<img src="Godsil-Royle.jpg" alt="Godsil and Royle's's Algebraic Graph Theory" width="175" height="250" border=3><br>
<font size="5">Algebraic <br>Graph Theory</a>   </center> </td>
</table> 




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Senior/Graduate Level Pure Math<br>
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<td> <center>
<a href="5357/notes-G.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-G.htm">Algebraic Topology</a> 
</center> </td>
<td> <center>
<a href="4217/notes-G.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-G.htm">Analysis 2</a> 
</center> </td>
<td> <center> 
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<td> <center> 
<a href="5337/notes-G.htm">
<img src="5337/Brown-Churchill-8.jpg" 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>
<a href="5337/notes2-G.htm">
<img src="5337/Brown-Churchill-9.jpg" alt="Brown and Chruchill 9th edition" width="170" height="250" border=3><br>
<font size="5"> Complex Variables, <br>applications</a> 
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</table>
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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-G.htm">Part 1</a>, 
<a href="4127/notes2-G.htm">Part 2</a> 
</center> </td>
<td> <center>
<a href="Knot-Theory/Notes-Livingston-G.htm">
<img src="Knot-Theory-Livingston.jpg" alt="Livingston's Knot Theory Book" width="175" height="250" border=3><br>
<font size="5">Introduction to Knot Theory</a> 
</center> </td>
<td> <center>
<a href="5347/notes-Hartsfield-Ringel-G.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> 
</center> </td>
<td> <center>
<a href="Design-Theory/Notes-Design-Theory-LR2-G.htm">
<img src="Design-Theory/Design-Theory-LR2.jpg" alt="Lindner and Rodger's Design Theory" width="175" height="250" border=3><br>
<font size="5"> Design Theory</a>   
</center> </td>
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<td> <center> 
<font size="5"> Introduction to Modern Geometry<br>
<table>
<td> <center>
<a href="Geometry/Geometry-History-notes-G.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-G.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-G.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>
<a href="Geometry/Projective-Geometry-notes-Wylie-G.htm">
<img src="Proj-Geom-Wylie-Dover.jpg" alt="Wylie's An Introduction to Projective Geometry" width="175" height="250" border="3"><br>
<font size="5"> Projective <br> Geometry</a> </center></td>
<td> <center>
<a href="Geometry/Axiomatic-Transformational-Geometry-notes-G.htm">
<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 </a>  </center></td>
</center> </td>
</table>
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<br>
Some Applied Topics<br>
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<td> <center>
<a href="2610/notes-G.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> 
</center> </td>
<td> <center>
<a href="notes-bio-G.htm">
<img src="DNA.jpg" alt="DNA Replication image 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-G.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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 <td> <center>
<a href="Func/notes-Debnath-Mikusinski1-G.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>
</center></td>
<td> <center>
<a href="Differential-Equations/DE-Waltman-notes-G.htm">
<img src="Waltman.jpg" alt="Waltman's 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-G.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-G.htm">
<img src="Thomas-14E.jpg" alt="Thomas' Calculus, 14th edition" width="200" height="250" border=3><br>
<font size="5"> Calculus 1</a>
</center> </td>
<td> <center>
<a href="1920/12/notes12-G.htm">
<img src="Thomas15.jpg" alt="Thomas' Calculus, 15th edition" width="200" height="250" border=3><br>
<font size="5"> Calculus 2</a>
</center> </td>
<td><center>
<a href="2110/notes-G.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12th edition" width="200" height="250" border=3><br>
<font size="5"> Calculus 3</a>
</center> </td>
</table>
<table border="3">
<td> <center>
<a href="2010/notes-G.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-G.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>
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 <td> <center>
<a href="3000/Math-Reasoning-Gerstein-G.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-G.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</a>
</center></td>
<td> <center>
<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"><a href="3040/notes-Eves6-G.htm">History of Math before 1600</a> <br> <a href="3040/notes2-Eves6-G.htm">History of Math after 1600</a>
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Probability and Statistics<br>
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<td> <center>
<a href="1530/notes-G.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>  
</center></td>
<td> <center>
<a href="4047/notes-Hogg-McKean-Craig-G.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-G.htm">Mathematical Statistics 2</a> </center> </td>
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Other<br>
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<a href="Astronomy/Astro-Snow3-notes-G.htm">
<img src="Snow3.jpg" alt="Snow's Dynamic Astronomy, 3rd Edition" width="175" height="250" border=3><br>
<font size="5">Astronomy</a> 
</center></td>
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<a href="1710/notes-Precalculus-Sullivan10-G.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> 
</center></td>
<td> <center>
<a href="1720/notes-G.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-G.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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</table>


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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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<td><center>
<a href="1710/Test-Solutions/test-solutions-G.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> 
</center> </td>
<td><center>
<a href="1910/Test Solutions/test-solutions-G.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12th edition" width="200" height="250" border=3><br>
<font size="5"> Calculus 1</a> 
</center> </td>
<td><center>
<a href="1920/Test Solutions/test-solutions-G.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12th edition" width="200" height="250" border=3><br>
<font size="5"> Calculus 2</a> 
</center> </td>
<td><center>
<a href="2110/Test Solutions/test-solutions-G.htm"> 
<img src="Thomas12.bmp" alt="Thomas' Calculus, 12th edition" width="200" height="250" border=3><br>
<font size="5"> Calculus 3</a>  
</center> </td>
<td> <center>
<a href="2010/Test Solutions/test-solutions-G.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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</table>
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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" alt="Laptop and Diploma" 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: May 11, 2025.</em>
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