Math 5200/6200 Analysis I

Spring 2022, Dr. Smith

http://webhome.auburn.edu/~smith01/math5200/syllabus5200Sp22.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Participation.pdf

 

http://webhome.auburn.edu/~smith01/math5200/MyModifiedSocraticMethod.pdf

 

http://webhome.auburn.edu/~smith01/math5200/SocraticMethodDuringCoronavirus.pdf

 

 

Axioms

 

http://webhome.auburn.edu/~smith01/math5200/AxiomsOfTheIntegers.pdf

 

Constructing the rational numbers from the integers: http://webhome.auburn.edu/~smith01/math5200/ConstructingTheRationals.pdf

 

http://webhome.auburn.edu/~smith01/math5200/AxiomsOfTheReals.pdf

 

Class Notes

 

http://webhome.auburn.edu/~smith01/math5200/Anotes01OpenSets.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes02UpperBounds.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes03Sequences.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes04LUBAxiom.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes05CompactSets.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes06ContinuousFunctions.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes07UniformContinuityUniformConvergence.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes08Countability.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Anotes09InfiniteSeries.pdf

 

http://webhome.auburn.edu/~smith01/math5200/TheoremHints.pdf

 

 

 

Exercises and Homework

 

http://webhome.auburn.edu/~smith01/math5200/BoundaryPointExercises.pdf

 

http://webhome.auburn.edu/~smith01/math5200/ShortProject01.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Math5200Project02.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Math5200Project02Key.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Math5200Sp22Quiz01.pdf

 

http://webhome.auburn.edu/~smith01/math5200/M5200TestPrep01.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Math5200Sp22TestKey.pdf

 

http://webhome.auburn.edu/~smith01/math5200/Project03A.pdf