matqkks
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Are there any good images that can be used as a hook for an elementary number theory course?
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I am writing an introduction to a first course in elementary number theory. The topics are linear Diophantine equations, modular arithmetic including FLT and Euler's Generalization, quadratic residues and Non - linear Diophantine equations.
How can I write an introduction to this showing linkage between the various topics and hook potential students to do this course? What is the motivation on covering these topics?
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Introduction to pure mathematics
in Linear Algebra and Group Theory
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I need to devise a module for next academic year which is an introduction to pure mathematics. They need to use this module as a step stone module such as number theory, group theory, combinatorics, and real analysis.
What should I cover to make this interesting and be used as a hook for them to be motivated to do pure mathematics? Should have an impact on them.
It will be a first-year university undergraduate module.