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MATH 217

Honors Calculus III

3 units

Fall 2015 · Honours Advanced Calculus I

Topics

  • Real-number axioms
  • Topology, sequences and continuity
  • Multivariable differentiation and integration
  • Chain rule
  • Taylor formula
  • Extrema
  • Vector fields

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