Prelude: Linking Mathematics and Course Content

Related lectures (30)

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Explores real sequences, limits, convergence, divergence, and operations on limits.

Explores the definitions and examples of real number sequences, including arithmetic and geometric sequences.

Discusses the Two Gendarmes Theorem and handling limits as functions approach infinity and dealing with indeterminate forms in calculus.

Explains interior points, convergence of sequences, and the dense property in real numbers.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Explains infinite branches, vertical and oblique asymptotes, and limit calculations for functions with square roots.

Covers sequences defined by recurrence, with examples and step-by-step demonstrations.

Introduces fundamental concepts of Analysis I, focusing on functions of a variable and numerical sequences.

Covers functions of real numbers, graphing, and affine functions.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.