Part 1 Frequency - domain response of linear networks: the frequency response function; frequency response evaluation; the network gain; the network phase; display of the frequency response. Part 2 Poles and zeros of the transfer function: factorization of a polynomial; Newton-Raphson method; Svejgaard's method; estimation of smallest root; polyomial deflation. Part 3 Numerical analysis of linear networks: the graphs of passive networks; solution of the nodal equations; analysis of reactive networks; analysis of active networks; networks containing operational amplifiers; limitations of numerical network analysis. Part 4 Symbolic network analysis: trees of the network graph; determinant of the y-matrix; cofactors of the y-matrix; symbolic network functions of passive networks; spanning tree enumeration; common spanning tree enumeration; symbolic network functions of active networks; signs of the admittance products; limitations of symbolic analysis; parameter extraction. Part 5 Time-domain analysis of linear networks: the inverse laplace transform approach; numerical convolution; state variable representation; the physical state variables; state variable representation from the transfer function; approximate solution of the state variable equations; matrix exponential solution of the state variable equations; transfer function from the state variable representation. Part 6 Numerical integration: trapezoidal integration; adoptive integration. Part 7 Optimization of electronic networks: function minimization; the objective function; sum-of-moduli; sum-of-squares; maximum-modulus; error weighting; optimizing with one variable; single variable; approximation methods; single variable; search methods; golden-section search; optimizing in N dimensions; simplex optimization; steepest-descent optimization; least-squares optimization; constrained optimization. Part 8 DC analysis of non-linear networks: networks containing a single non-linear element; general non-linear network equations; multidimensional Newton-Raphson algorithm; component value determination. Part 9 Tolerance analysis: worst-case analysis; component value distributions; method of moments; Monte-Carlo analysis; random number generation; non-uniform distributions. Appendices: SPICE network simulator - network description, resistors, capacitors and inductors, independent sources, AC analysis, semiconductor models, DC analysis, transient analysis, linear dependent sources sub-circuits; modula-2 definitions.
