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Download it as a PDF · 90 pages
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- Prints in black and white on A4
University Maths Year 1 Lessons in one printable PDF book: 14 chapters of clear notes and worked examples for pupils aged 18-19, starting with logic, sets and proof techniques and finishing with number theory and discrete mathematics.
What is inside University Maths Year 1 Lessons
Each chapter of the University Maths Year 1 lessons book explains one idea at a time, in short steps, with examples that are worked out in full. The 14 chapters cover calculus and analysis, discrete mathematics, foundations and linear algebra, in an order that matches the free University Year 1 pages of this site.
The book is laid out for printing in black and white, so the pages stay clear on a home printer.
- Logic, sets and proof techniques
- Functions, limits and continuity
- Differentiation and its applications
- Integration and the fundamental theorem of calculus
- Sequences and series convergence
- Vectors and systems of linear equations
- Matrices and determinants
- Vector spaces and linear maps
- Eigenvalues and eigenvectors
- Multivariable calculus
- Differential equations
- Probability and random variables
- Statistical inference
- Number theory and discrete mathematics
Who is University Maths Year 1 Lessons for?
This book is written for first-year undergraduates and students on a bridging course. It follows the maths curriculum for England and uses British spelling and notation throughout.
How to use the University Maths Year 1 book
Read one lesson, copy the worked example in your own words, then try a similar question without looking. Teachers can print a chapter for the board or send the PDF to a class; parents can sit down with a child for ten minutes at a time.
Try the free pages first
Not sure yet? Every year also has free lessons, worksheets and quizzes on its own page: University Year 1 maths – all topics: lessons, worksheets and quizzes to download as PDF




