MATH-101(en): Analysis I (English)

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Lectures in this course (70)

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Limits at Infinity: Algebra and Continuity

Covers limits at infinity, algebra, and continuity with examples.

Differentiation: Continuity vs Differentiability

Explores the relationship between continuity and differentiability of functions, highlighting examples where functions exhibit different properties at specific points.

Intermediate Value Theorem

Covers the Intermediate Value Theorem, uniform continuity, Lipschitz functions, and the properties of continuous functions.

Math-101(en) / Min/Max, Inf/Sup

Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.

Complex Numbers: Operations and Properties

Explores complex numbers, including modulus, conjugation, and Euler formula.

Solutions to QCM 1-3

Covers the solutions to multiple-choice questions 1 to 3.

Complex numbers: operations and convergence

Covers operations with complex numbers and convergence of functions as x approaches 0.

Solutions to QCM 7-8

Covers solutions to mathematical equations involving limits, square roots, and algebraic expressions.

Sequences and Convergence: Solutions to Exercises

Covers solutions to exercises related to sequences, convergence, bounded functions, and bijective functions.

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