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Principles of circuit simulation: DC/AC/TR analysis. Basic analog optimization tasks: worst-case analysis, yield analysis, nominal design, design centering. Basic principles of optimization: optimality conditions, line search, Nelder-Mead method, Newton approach, Conjugate Gradient approach, Quadratic Programming, Sequential Quadratic Programming. Structural analysis of analog circuits. i) Circuit Simulation (5 hrs) DC analysis; AC analysis, Newton-Raphson; TR analysis, numerical integration; modified nodal analysis, linearized and discretized circuit model. ii) Worst-Case Analysis (10 hrs) Lagrange function, optimality conditions (constrained, unconstrained); classical worst-case analysis, realistic worst-case analysis, general worst-case analysis. iii) Yield Analysis (10 hrs) Multivariate statistical distribution, transformation of distribution functions, expectation values, estimation of expectation values; statistical yield analysis, geometric yield analysis, Monte-Carlo analysis. iv) Circuit Sizing (5hrs) Design objectives and derivatives, nominal design, tolerance design; yield optimization; design centering; structure of an optimization process. v) Basics of numerical optimization (10 hrs) Univariate optimization, line search, multivariate optimization, polytope method, coordinate search; Newton approach (Quasi-Newton, Levenberg-Marquardt, Least-Squares, Conjugate Gradient; Quadratic Programming (equality/inequality constraints), Sequential Quadratic Programming (SQP). vi) Structural Analysis of Analog Circuits (5 hrs) Hierarchical analog building block library, sizing rules.