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Algebraic GeometryCovers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.
Introduction to AnalysisCovers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Newton's Binomial TheoremExplores Newton's Binomial Theorem, real positive non-integer exponents, and proof methods using contrapositive and absurd reasoning.
Real Numbers: sqrt(2)Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.
Decimal DevelopmentDelves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.
Sets: BasicsCovers the basics of sets, including types of numbers and set operations.
Terminologie conventionsCovers the terminology and conventions related to the limit of a function and introduces algebraic and transcendental functions.
Real Numbers: Order and CompletenessCovers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.