# Course - Introduction to University Mathematics

> Source: https://ollybritton.com/notes/uni/prelims/mt22/introduction-to-uni-maths/ · Updated: 2025-09-30 · Tags: uni, course

> 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](https://courses.maths.ox.ac.uk/course/view.php?id=1051)
- [Lecture Notes](https://courses.maths.ox.ac.uk/pluginfile.php/30903/mod_resource/content/33/Introduction%20to%20University%20Mathematics.pdf)
- All the lectures for this course were pre-recorded and on YouTube, [available here](https://www.youtube.com/playlist?list=PL4d5ZtfQonW1xKVEtYJd1iu9m52ATG7SV).
- Other courses this term: [Courses MT22](https://ollybritton.com/notes/uni/prelims/mt22/)

### Lectures
- [Lecture - Introduction to University Mathematics, Lecture 1](https://ollybritton.com/notes/uni/prelims/mt22/introduction-to-uni-maths/lectures/lecture-1/)
- [Lecture - Introduction to University Mathematics, Lecture 2](https://ollybritton.com/notes/uni/prelims/mt22/introduction-to-uni-maths/lectures/lecture-2/)
- [Lecture - Introduction to University Mathematics, Lecture 3](https://ollybritton.com/notes/uni/prelims/mt22/introduction-to-uni-maths/lectures/lecture-3/)
- [Lecture - Introduction to University Mathematics, Lecture 4](https://ollybritton.com/notes/uni/prelims/mt22/introduction-to-uni-maths/lectures/lecture-4/)
- [Lecture - Introduction to University Mathematics, V](https://ollybritton.com/notes/uni/prelims/mt22/introduction-to-uni-maths/lectures/lecture-5/)
- [Lecture - Introduction to University Mathematics, Lecture 6](https://ollybritton.com/notes/uni/prelims/mt22/introduction-to-uni-maths/lectures/lecture-6/)
- …also lectures 7 and 8 but I didn’t take many notes…

### Problem Sheets
- [Sheet 1](https://courses.maths.ox.ac.uk/mod/assign/view.php?id=8115)
- [Sheet 2](https://courses.maths.ox.ac.uk/mod/assign/view.php?id=8116)

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