Teaching

MWF: 14:00-15:20, LINC 345

We will start by discussing vectors in two and three dimensions and their basic properties. Next, we will turn to study of vector functions, curves and surfaces. In particular, we will develop the notions of partial derivatives, gradients, and directional derivatives, and will use these to tackle multidimensional optimization problems. The final part of the course will be devoted to multiple integrals in rectangular, polar, cylindrical, and spherical coordinates. We will motivate the theory with physical and geometric applications. Prerequisites: MTH 251H and MTH 252H.

Textbook:

• Briggs, Cochran, and Gillett, "Multivariable Calculus 2nd Edition."

MTH254H Syllabus.

MWF: 9:00-9:50, BEXL 323

We will cover: higher order linear equations with constant coefficients, power series methods for linear equations with non-constant coefficients, The Laplace transform, Linear systems of ODE, Nonlinear ODE and stability theory. Time permitting, we will discuss numerical methods. Prerequisites: MTH 253,256,341.

Textbook:

• Boyce and DiPrima "Elementary Differential Equations and Boundary Value Problems."

MTH481/581 Syllabus.