Undergraduate Lecture Notes and Exercise Sheets
Some courses are referred to by name as the numbers are not fixed. More recent or current courses are near the top.
Symbolic Dynamics (an introductory course on symbolic dynamics and coding theory)
Dynamical Systems & Ergodic Theory (special pure course in 2006-7)
MTH-2C1Y (First semester of analysis)
MTH-1A11 and 1A22 (for the year 97/8, 98/9)
The first year analysis section of 1A11 and 1A22 has been extensively revised. Lecture notes are available. The revised course replaces the confusing notion of sup and inf as the basic tool with sequences. Thus ``monotone bounded sequences converge'' will become a Theorem proved as a property of infinite decimals. Any comments on these changes are welcomed!
MTH-2A31 (last part of course, as run in 98/9)
Second year complex analysis course: contour integration and Laurent's theorem.
Third year topology course, starting with basic properties of topological spaces, homotopy, applications to fixed point theorems, and simplicial homology.
Normed linear spaces. Elements of functional analysis. L_p spaces as examples of Hilbert and Banach spaces. Operators. Dual spaces. Spectral theory. Applications to differential equations. Possible additional topics: K_0 of AF algebras, applications of the current algebra to the moment problem.
