MATH 3515 - Analysis 1

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MATH 3515 - Analysis 1

Course Description: Structure of R¹ and Rⁿ; compactness and connectedness; continuity, differentiability and integrability in Rⁿ. Prerequisites: MATH 2411 or 2511; MATH 2813. 4 credits

Note: This course will make use of the Online Material for "Interactive Real Analysis". You will also need the Dyknow software installed on your laptop.

General Information

Syllabus

Resources

Exams

Final (take-home) Exam [ pdf ]

Lecture Notes

Radius of convergence [ dyn | pdf ]
Power series [ dyn| pdf ]
Function series [dyn | pdf ]
More uniform conv [ dyn | pdf ]
Uniform convergence [ dyn | pdf ]
Piecewise conv [ dyn | pdf ]
Function seqs [ dyn | pdf ]
Integration techs [ dyn | pdf ]
Cont. vs integrable [ dyn | pdf ]
Riemann integral [ dyn | pdf ]
More on diffble [ dyn | pdf ]
Differentiable funs [ dyn | pdf ]
Discontinuities [dyn | pdf ]
Uniform cont [ dyn | pdf ]
Continuity [ dyn | pdf ]
Limits [ dyn | pdf ]
Cantor set [ dyn | pdf ]
The Cantor set [ dyn | pdf ]
Perfect sets [ dyn | pdf ]
Compact sets [ dyn | pdf ]
Topology [ dyn | pdf ]
Convergence tests 2 [ dyn | pdf ]
Convergence tests 1 [ dyn | pdf ]
Series [ dyn | pdf ]
lim inf/sup [ dyn | pdf ]
Subsequences [ dyn | pdf ]
Sequences [ dyn | pdf ]
Cantor review [ dyn | pdf ]
More reals [ dyn | pdf ]
Reals [ dyn | pdf ]
Induction [ dyn | pdf ]
Cardinality [ dyn | pdf ]
Equiv. relations [ dyn | pdf ]
Relations [ dyn | pdf ]
Intro [ dyn | pdf ]

Quizzes & Assignments

Bert G. Wachsmut
Last modified: 09/2012
Archive: 2004-03