The Natural Integers Masterclass
Become an efficient calculator, from basics practice to deeply understood theory.
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Just until 2021/01/05 at 12:00 pm
The aim of that course is to give you the mastery of the construction and manipulation of the natural integers, the numbers we count with.
Starting with practical animated graphics, and Python manipulations, you will become by the end of that course a master in:
 Counting and constructing the natural integers set, from zero to infinity
 Comparing natural integers, and ordering the natural integers set
 Adding, subtracting and multiplying the natural integers, including doing all these operations in a unique formula.
 Understanding the powers of 10 and the exponential notation
 Exponentiating the natural integers, and manipulating polynomials
 Comparing the results of additions and/or subtraction
 Comparing the results of multiplications and/or exponentiation
 Expanding (a+b) to the power n, with a comprehensive firnal project about the binomial coefficients
At the top of all that, you will master the powerful proof by recursion, a tremendously useful method of proving theorems, based on the natural integers set construction.
That course includes 54 high quality video lectures, plus 10 downloadable recapitulative documents, one per section, with all the proofs.
And, as that course is rather long and intense, you will receive the lectures from the section 5 at a pace of one section each 2 or 3 days.
Do not bother, an email will announce their deliveries!
Your Instructor
Fabienne holds the “Agrégation de Mathématiques“ , the French Highest Degree to teach math in Secondary Schools.
After a career of 28 years as a R&D engineer in applied mathematics, she founded Mathedu (Reengineering Mathematics) with her husband and collaborator François, to teach mathematics from a practical point of view, based on Python coding.
She is both an expert in teaching math and a passionated woman and will help you to experiment the joyce of increasing your mastery in mathematics.Course Curriculum

PreviewLecture 2 : About Counting (6:17)

PreviewLecture 3 : The Natural Integers Set (2:33)

StartLecture 4: The Proof by Recursion (3:51)

StartLecture 5 : Compare Natural Integers (9:21)

StartLecture 6:: The Totally Ordered Set (N,≤) (13:03)

StartLecture 7 : Construct and Compare the Natural Integers (PDF)

StartSection 2 test
Frequently Asked Questions
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