Contents: A short mathematical review; Introduction to odes; First-order odes; Second-order odes, constant coefficients; The Laplace transform; Series solutions; Systems of equations; Bifurcation theory; Partial differential equations.
Multidimensional calculus, linear analysis, linear operators, vector algebra, ordinary differential equations. The course is directed at first year graduate students in engineering. It is open to undergraduates who wish to become better prepared for graduate studies or become more proficient in the techniques of applied mathematics.
Teach Yourself Basic Mathematics gets you up and running with all the math you need to confidently meet the numerical challenges of everyday living. Here you will learn how to rapidly perform basic arithmetic procedures; change between different systems of measurement; master fractions, decimals, and percentages; interpret simple graphs and tables; and apply basic geometry and algebra to problems in many areas of life, from shopping to home repairs. And, just to keep things interesting, the book includes fun games and puzzles that help you test your mastery of the procedures covered.
Mathematical Studies has been written specially for students following the International Baccalaureate (IB) Diploma. Each topic opens with the syllabus content, and exactly follows the syllabus order, covering the latest syllabus requirements in full. This is invaluable in helping teachers to plot a way through the course, and for students when the time comes for revision.
This applied mathematics text is primarily for final year mathematics major and minor students. The main emphasis is on mathematical modeling, with biology the sole application area. It is assumed that students have no knowledge of biology.