This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB® brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB®, relevant plots, integration, and optimization, the numerous problem sets encourage practice with newly learned skills that cultivate the reader’s understanding of the material. Significant examples illustrate each topic, and fundamental physical applications such as Kepler’s Law, electromagnetism, fluid flow, and energy estimation are brought to prominent position. Perfect for use as a supplement to any standard multivariable calculus text, a “mathematical methods in physics or engineering” class, for independent study, or even as the class text in an “honors” multivariable calculus course, this textbook will appeal to mathematics, engineering, and physical science students. MATLAB® is tightly integrated into every portion of this book, and its graphical capabilities are used to present vibrant pictures of curves and surfaces. Readers benefit from the deep connections made between mathematics and science while learning more about the intrinsic geometry of curves and surfaces. With serious yet elementary explanation of various numerical algorithms, this textbook enlivens the teaching of multivariable calculus and mathematical methods courses for scientists and engineers.
Computer-oriented material that complements the essential topics in multivariable calculus Main ideas presented with examples of computations and graphics displays using MATLAB Numerous examples of short code in the text, which can be ...
R. Larson, R. P. Hostetler, B. H. Edwards, and D. E. Heyd, Calculus with Analytic Geometry, Houghton Mifflin company, 2002. 7. R. T. Seeley, Calculus of Several Variables, Scott, Foresman and Company, 1970. 8.
Additionally, the text uniquely offers a variety of MATLAB® projects, all of which have been class-tested thoroughly, and which enable students to put MATLAB® programming into practice while expanding their comprehension of concepts such ...
Aiming to "modernise" the course through the integration of Mathematica, this publication introduces students to its multivariable uses, instructs them on its use as a tool in simplifying calculations, and presents introductions to geometry ...
This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design.
A brief introduction to scientific computing with GNU Octave. Designed as a textbook supplement for freshman and sophomore level linear algebra and calculus students.
87. s(t) = Ae “cos(wt + 6) = v(t) = s'(t) = Ase “[–w sin(wt H-6)] + cos(wt -- 6)(–ce “)} = −Ae “[w sin(wt -- 6) + c cos(wt +6)] = a(t) = v'(t) = −Ase ... But C(O) = Co, so C(t) = Coe". (b) C(30) = #Co since the concentration is ...
The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experi
Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat,
This is a short, focused introduction to MATLAB, a comprehensive software system for mathematical and technical computing.