MATH-101(f): Analysis I

Lectures in this course (35)

Emphasizes mathematical rigor, clear communication, and exercise organization in teaching methods.

Explores operations on sets, Cartesian products, and functions' properties.

Explores model extension, function composition, graph uniqueness, and mathematical induction principles.

Covers the properties and operations of real numbers, including divisibility rules and the concept of irreducible fractions.

Explores the definitions and properties of infimum and supremum in mathematical analysis.

Introduces absolute value, intervals, triangle inequality, and complete numbers in the complex plane.

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Explores convergence and divergence in sequences and limits through examples and proofs.

Covers the convergence of sequences, focusing on Exercise 7 from Series 5.

Explores convergence criteria and factorial expressions for sequences and series.

Explores the convergence of sequences and series with examples and criteria.

Covers convergence criteria for series and alternating series calculation.

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