Spring 2018
Course Goals
Course Schedule
Assignments
Schedule
Here is a course timetable showing exactly where we are in class. I will attempt to update it at least weekly, to give you an idea of the reading you need to do to prepare for class that week.| Week beginning | Topics | Reading | Notes |
| 01/21 | Welcome (back) to MTH436 5.4 Uniform Continuity | Revise your MTH435 notes. | First week of class. |
| 01/28 | 5.6 Monotone and Inverse Functions 11.4 Continuity in Metric Spaces | pp141-5;pp153-9;pp345-6 | Choice of topics after 11.4: either Compactness or Differentiation. |
| 02/05 | 11.2-3 Compactness in Metric Spaces 6.1 The Derivative | pp333-341,pp162-170 | |
| 02/12 | 6.1 The Derivative 6.2 The Mean Value Theorem | pp162-179 | |
| 02/19 | 6.3 L'Hospital's Rules 6.4 Taylor's Theorem | pp180-7 | |
| 02/26 | 7.1 The Riemann Integral | pp188-215 | |
| 03/05 | 7.2 Riemann Integrable Functions Midterm I | pp198-215 | Midterm I in class on 03/07 |
| 03/12 | Spring Break | The Gruffalo by Julia Donaldson | No knowledge check on this week's reading |
| 03/19 | 7.2 Riemann Integrable Functions | pp208-223 | No class 03/21 (because of |
| 03/26 | 7.2 Riemann Integrable Functions 7.3 The Fundamental Theorem(s) | No reading for this week | |
| 04/02 | 7.3 The Fundamental Theorem(s) Lebesgue's Integrability Criterion | pp216-230 | |
| 04/09 | 7.4 The Darboux Integral | pp225-232 | Knowledge Check may include some "old classics" to check you remember important definitions and theorems. |
| 04/16 | 8.1 Pointwise and Uniform Convergence 8.2 Interchange of Limits | pp241-253 |