Course - Introduction to University Mathematics

An introduction to studying mathematics at university. Some content repeated from A-level like facts about the natural numbers, induction, and the binomial theorem. Lots of new stuff like sets, relations, injectivity and surjectivity, and logic. The biggest change from A-level probably was the huge focus on proof rather than computation – I remember being asked by my tutor how the first problem sheet went and I responded something like “it was good, but I didn’t like all the proofs”, to which he replied that I’m going to have to get used to it, since the whole degree is basically just proof after proof.

I was still getting into the groove of taking notes at this point, so all the flashcards I wrote are under the Lectures section, organised by date rather than concept.

• Course Webpage
• Lecture Notes
• All the lectures for this course were pre-recorded and on YouTube, available here.
• Other courses this term: Courses MT22^U

Lectures

• Lecture - Introduction to University Mathematics, Lecture 1^U
• Lecture - Introduction to University Mathematics, Lecture 2^U
• Lecture - Introduction to University Mathematics, Lecture 3^U
• Lecture - Introduction to University Mathematics, Lecture 4^U
• Lecture - Introduction to University Mathematics, V^U
• Lecture - Introduction to University Mathematics, Lecture 6^U
• …also lectures 7 and 8 but I didn’t take many notes…

Problem Sheets

• Sheet 1
• Sheet 2