MATH 317 - Honors Advanced Calculus, II
Instructor    Volker Runde
Office hours    By appointment and via Google Meet only.
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.
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.
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.
Course materials   
Course Syllabus
Assingnment #1 Solutions #1
Assingnment #2 Solutions #2
Assingnment #3 Solutions #3
Assingnment #4 Solutions #4
Assingnment #5 Solutions #5
Midterm Practice Problems (Solutions)
Midterm Model Solutions
Assingnment #6 Solutions #6
Assingnment #7 Solutions #7
Assingnment #8 Solutions #8
Assingnment #9 Solutions #9
Assingnment #10 Solutions #10
Final Practice Problems (Solutions)
Final Model Solutions

Last update: April 21, 2022.