
Lecture Description
The seventh workshop in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers a worksheet with a variety of questions: questions involving decimal expansions; modular arithmetic: squares and fourth powers modulo 5; finding an example of a function with specified properties.
These videos are also available for download on iTunes U at: itunes.apple.com/us/itunes-u/foundations-pure-mathematics/id950755120
Dr Feinstein's blog may be viewed at: explainingmaths.wordpress.com.
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
Course Index
- Introduction to Pure Mathematics
- Sets and Numbers
- Workshop 1: About this module
- Definitions and Direct Proofs
- Rational and Irrational Numbers
- Workshop 2
- More on Rational and Irrational Numbers
- Bezout's Lemma and Prime Factorization
- Workshop 3
- Sets and Subsets
- Cartesian Products and Relations
- Workshop 4
- Equivalence Relations and Equivalence Classes
- Unions and Partitions
- Workshop 5
- Equivalence Classes and Modular Arithmetic
- Decimal expansions and rational numbers
- Workshop 6
- Functions and their graphs
- Functions and sets
- Workshop 7
- Properties of functions
- Finite sets and cardinality
- Workshop 8
- Permutations of finite sets
- Permutations continued
- Workshop 9
- Cardinality for infinite sets
- Conclusion of Cardinality for infinite sets
Course Description
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