# The Signed Integers

## Master the manipulation and computation of integers of any signs

The aim of that course is to give you the mastery of the construction and manipulation of the integers of any signs.

Starting with practical animated graphics, and Python manipulations, you will become by the end of that course a master in:

• Constructing the integers set, from negative infinity to positive infinity
• Comparing integers of any signs, and ordering the integers set Z
• Adding, subtracting and multiplying the integers of any signs, including doing all these operations in a unique formula.
• Exponentiating the integers of any signs by natural integers
• Comparing the results of additions and/or subtractions.
• Comparing the results of multiplications and/or exponentiations.

That course includes 23 high quality video lectures, plus 4 downloadable recapitulative documents, one per section, with all the proofs. It proposes 4 intermediate tests plus a final assessment.

Fabienne Chaplais

Fabienne holds the Agregation in Mathematics, the highest French diploma to teach mathematics in secondary schools. After a 26-year career as an R&D engineer in applied mathematics, she founded Mathedu (Mathematics Re-engineering) with her husband and collaborator Francois, to teach mathematics from a practical point of view, based on Python programming. She is both an expert in mathematics education and a passionate woman who will help you experience the joy of improving your mastery of mathematics.

## Course Curriculum

Introduction
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Construct and order the Integers set Z
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Add and subtract two integers of any sign
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Multiply Integers of any signs
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The ordered commutative group (Z,+,≤)
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The ordered commutative ring (Z,+,x,≤)
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Final assessmant - The Polynomial functions in Z
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Conclusion
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