000			01403nam a22001577a 4500
020			_a9789386235398
082			_a515.352
100			_aKapitula, Todd
245			_aOrdinary differential equations and linear algebra : _ba systems approach
260			_aHyderabad _bUniversities press _c2015
300			_a300p.
520			_aOrdinary differential equations (ODEs) and linear algebra are foundational post-calculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. The book systematically develops the linear algebra needed to solve systems of ODEs; includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters); emphasizes mathematical modelling; and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modelling of a system, the solution of the model, and the resulting physical description.
650			_aLinear Algebras
650			_aDifferential equations
942			_cBK
999			_c67036 _d67036