Instructor | | Volker Runde |
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Office hours | | By appointment and via Google Meet only. |
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Course Content | | - The implicit function theorem and applications: local properties of C1-functions; the Implicit Function theorem; local extrema with constraints; the Chhange of Variables Theorem with proof.
- Integral theorems by Green, Gauß, and Stokes: integration over curves and surfaces; the classical integral theorems by Green, Gauß, and Stokes.
- Integration of differential forms: differential forms, integration of differential forms, Stokes' Theorem for differential forms.
- Infinite series and improper integrals: infinite series; improper integrals.
- Sequences and series of functions: pointwise convergence; uniform convergence; power series; Fourier series.
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Textbooks | | None required, but all texts recommended for MATH 217 are recommended for MATH 317 as well as is
As in MATH 217, I will follow my TeXed lecture notes, which I'll continue to revise as the term progresses; in particular, a new chapter on differential forms will be added. |
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Grading | | The grade will be based on (approximately) weekly homework assignments (30%), an in-class midterm on February 18 (20%), and a final (50%). All homework solutions have to be submitted through Assign2. |
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Course materials | |
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