The first part of this course covers the application of symmetry and dimensional homogeneity (Buckingham Pi theorem) to engineering analysis of systems. The important role of dimensional analysis in developing empirical theories, designing experiments and computer models, and analyzing data are stressed. The second part of the course focuses on quantitative data analysis including linear regression, least-squares, principle components, Fourier analysis, and Bayesian methods. The underlying theory is briefly covered, but the focus is on application to real-world problems encountered by mechanical engineers. Applications to uncertainty analysis and quantification are discussed. Homework will include implementation of techniques in Matlab.