Prerequisites and Corequisites

Recently I have taught three courses:

MAT244H1 – Introduction to Ordinary Differential Equations.

  • Prerequisite:
    • Calculus I: (MAT135H1 & MAT136H1)/ MAT137Y1 or Analysis II (MAT157Y1)
    • Linear Algebra I: MAT223H1 or Algebra I: MAT240H1
  • Corequisite:
    • Calculus II (MAT235Y1/​ MAT237Y1) or Analysis II​ MAT257Y1

I believe that

  • MAT135/MAT136 and MAT235Y1 are too weak and should be quashed and
  • Linear Algebra II: MAT244H1 or Algebra II: MAT247H1 should be Recommended.

MAT334H1 – Complex variables

  • Prerequisite:
    • Calculus II: MAT235Y1/​ MAT237Y1/​ or /Analysis II: MAT257Y1
    • Linear Algebra I: MAT223H1 or Algebra I:​ MAT240H1

I strongly believe that

  • MAT235 is too weak and should be quashed, while
  • Linear Algebra I/ Algebra I is not needed.

APM346H1 – Partial Differential Equations

  • Prerequisite:
  • Calculus II: MAT235Y1/​ MAT237Y1 or Analysis II: MAT257Y1,
  • Ordinary Differential Equations: MAT244H1/​ MAT267H1

I very strongly believe that

  • MAT235 is too weak and should be quashed, and
  • Linear Algebra II: MAT244H1 or Algebra II: MAT247H1 should be added as a prerequisite, and
  • Complex Variables: MAT334H1 or Complex Analysis I: MAT354H1 should be added as a corequisite.

I also very strongly believe that MAT334 and APM346 are excessive for economists etc and should be replaced by a single one semester class

Elements of the Complex Variables an d Partial Differential Equations

Spectral Methods in Mathematical Physics

Programme “Spectral Methods in Mathematical Physics”

14 January—26 April 2019, Mittag Leffler Institute, Djursholm, Sweden

(I participate February 15—24)

My talk: Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Coefficients Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings, February 19, 2019