Olga Maleva

MSM3P21/MSM4P21: Linear Analysis


Term 1: Vector spaces, normed spaces, inner product spaces, Banach spaces, Hilbert spaces. Linear functionals and linear operators.

Lecture notes:


See Canvas.

Problem sheets:


See Canvas.

Exam papers from previous years:
Measure and Integration, Summer 2009
Topics in Analysis, Summer 2007
Topics in Analysis, Summer 2008
Topics in Analysis, Summer 2009
Linear Analysis, Summer 2010, MSM3P21
Linear Analysis, Summer 2010, MSM4P21
Linear Analysis, Summer 2011, MSM3P21
Linear Analysis, Summer 2011, MSM4P21
Linear Analysis, Summer 2012, MSM3P21
Linear Analysis, Summer 2012, MSM4P21
Linear Analysis, Summer 2013, MSM3/4P21
Linear Analysis, Summer 2014, MSM3/4P21

HOW TO MAKE THE MOST OF THIS COURSE
  • Attend all lectures and Examples classes as much as possible.
  • Regularly revise the material presented at lectures; remember you are expected to study a course 2 hours in your own time for every hour of lecture.
  • Try to solve all problems in problem sheets covered by lectures before Examples classes and compare your solutions with those provided in solution sheets.
  • Do not hesitate to ask questions at lectures, Examples classes, by email or in person.
  • As part of your preparation for the examination you may wish to read and try to answer the questions in the past exam papers.