Week 1: Mathematics for Data Science โ Topics 1โ10
๐ข Natural Numbers & Integers
Definition and properties of โ and โค; course convention: โ includes 0
โ Rational Numbers
Notation, reduced form, GCD, and the density property of โ
๐ Real Numbers
Beyond rationals; irrationals, โ2 proof, and the complete real line
๐ Sets
Set notation, subsets, operations, comprehension, and intervals
๐ Relations
Mathematical relations, properties (reflexive, symmetric, transitive)
๐งฎ Functions
Definition, domain/range, injective, surjective, bijective
๐ข Prime Numbers
Definition, Sieve of Eratosthenes, factorization, and prime facts
๐ Irrational Numbers
Historical context, proofs, and famous irrationals like ฯ and e
โพ๏ธ Degrees of Infinity
Countable vs uncountable infinity and Cantor's diagonal argument
๐ง 100-Question Comprehensive Quiz
Mixed sections covering Number Systems, Sets, Relations, Functions, and more
Week 2: Coming Soon
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Week 3: Coming Soon
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Week 4: Coming Soon
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