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**