Lectures related to Square root of 3

Covers the approximation of functions using tangent lines and derivatives.

Covers the integration of simple elements using various techniques to solve integration problems.

Explores dominant balance analysis in solving the quintic polynomial, with a focus on non-dimensionalization and series expansions.

Analyzes the image sets of composite functions on [1, +∞], deducing the final image set as [√2/2, 1) closed left, open right.

Covers complex numbers, sequences, series, and exponential, sine, and cosine functions in the complex plane.

Covers essential linear algebra concepts for convex optimization, including vector norms, eigenvalue decomposition, and matrix properties.

Covers the analysis and modeling of univariate time series, focusing on stationarity, ARMA processes, and forecasting.