everything.study
MATH 317

Honors Calculus IV

3 units

Winter 2023 · Honours Advanced Calculus II

Topics

  • Implicit function theorem
  • Change of variables in multiple integrals
  • Line integrals
  • Green, Gauss and Stokes theorems
  • Sequences and series of functions
  • Uniform convergence

Readings

  • Volker Runde. Advanced Honors Calculus, I and II, online lecture notes. ↗
    required
  • Robert G. Bartle. The Elements of Real Analysis, 2nd edition. Wiley, 1976.
    recommended
  • R. Creighton Buck. Advanced Calculus. McGraw-Hill, 1978.
    recommended
  • James S. Muldowney. Lecture notes for Mathematics 217, 1999.
    recommended
  • Patrick M. Fitzpatrick. Advanced Calculus. PWS Publishing Company, 1996.
    recommended
  • Brian S. Thomson, Judith B. Bruckner, and Andrew M. Bruckner. Elementary Real Analysis, 2nd edition, 2008.
    recommended
  • William F. Trench. Introduction to Real Analysis, 2013.
    recommended
  • William R. Wade. An Introduction to Analysis, 2nd edition. Prentice Hall, 2000.
    recommended
Sources