Dependent and independent variables

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Introduces variables in MATLAB and Octave, covering initialization, naming conventions, and screen output formatting.

Covers the specification of the deterministic part in nonlinear transformations of variables and data preprocessing for nonlinearities.

Covers specular view factors, radiative exchange, energy transfer, and numerical integration methods in thermal radiation.

Discusses the geometry of least squares, exploring row and column perspectives, hyperplanes, projections, residuals, and unique vectors.

Explores experimental design for measuring learning outcomes and discusses biases, group equivalence, and within-subjects designs.

Delves into thermodynamics basics, calculating energy changes, constructing tables, and using Maxwell relations for thermodynamic relations.

Explores regression modeling, emphasizing the importance of interpretation and prediction in model building.

Explores the dynamic model for panel data analysis and the Markov assumption.

Explores Gaussian linear regression, design matrix, least squares estimation, and geometric interpretation in linear regression analysis.

Explores partial derivatives in composing functions, continuity proofs, mean value theorem applications, and integral calculus implications.