MATH-101(g): Analysis I

Lectures in this course (111)

Covers the composition of functions and reciprocal functions, with examples and formulas on logarithms and bijective functions.

Covers the concept of total order relation and properties of real numbers.

Explores periodic functions and extrema analysis in functions.

Covers the study of local functions, behavior analysis, and Taylor series development.

Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.

Explains how to find supremum and infimum of a set with examples.

Covers the elementary properties of complex numbers and how to find real and imaginary parts.

Covers the concept of limits and infinite limits in Analysis I.

Covers algebraic operations on limits, indeterminate forms, and fundamental limits.

Explores Taylor series development, convergence criteria, and numerical applications.

Explores Taylor series, function properties, inflection points, and critical points in graphical and mathematical contexts.

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