Introduction To Computer Simulations For Integrated Stem College Education

Introduction To Computer Simulations For Integrated Stem College Education

This book is written to introduce computer simulations to undergraduate college students, freshmen to seniors, in STEM fields. The book starts with concepts from Basic Mathematics: Geometry, Algebra and Calculus, Properties of Elementary Functions (Polynomials, Exponential, Hyperbolic and Trigonometric Functions) are studied and simple differential equations representing these functions are derived. Numerical approximations of first and second order differential equations are studied in terms of finite differences on uniform grids. Computer solutions are obtained via recursive relations or solutions of simultaneous algebraic equations. Comparisons with the exact solutions (known a priori) allow the calculations of the error due to discretization. After the students build confidence in this approach, more problems where the solutions are not known a priori are tackled with applications in many fields. Next, the book gradually addresses linear differential equations with variable coefficients and nonlinear differential equations, including problems of bifurcation and chaos.Applications in Dynamics, Solid Mechanics, Fluid Mechanics, Heat Transfer, Chemical Reactions, and Combustion are included. Biographies of 50 pioneering mathematicians and scientists who contributed to the materials of the book are briefly sketched, to shed light on the history of these STEM fields.Finally, the main concepts discussed in the book, are summarized to make sure that the students do not miss any of them. Also, references for further readings are given for interested readers.


Author
Publisher World Scientific
Release Date
ISBN 9811209928
Pages 236 pages
Rating 4/5 (25 users)
Read More

More Books:

Introduction To Computer Simulations For Integrated Stem College Education
Language: en
Pages: 236
Authors: Mohamed M Hafez
Categories: Computers
Type: BOOK - Published: 2019-09-23 - Publisher: World Scientific

This book is written to introduce computer simulations to undergraduate college students, freshmen to seniors, in STEM fields. The book starts with concepts fro
Introduction to Computer Simulations for Integrated STEM College Education
Language: en
Pages: 236
Authors: M. M. Hafez
Categories: Computer simulation
Type: BOOK - Published: 2019 - Publisher:

"This book is written to introduce computer simulations to undergraduate college students, freshmen to seniors, in STEM fields. The book starts with concepts fr
Cases on Inquiry through Instructional Technology in Math and Science
Language: en
Pages: 676
Authors: Lennex, Lesia
Categories: Education
Type: BOOK - Published: 2012-01-31 - Publisher: IGI Global

There exists a wealth of information about inquiry and about science, technology, engineering, and mathematics (STEM), but current research lacks meaningfully w
Random Processes in Physical Systems
Language: en
Pages: 320
Authors: Charles Whitney
Categories: Science
Type: BOOK - Published: 1990-07-23 - Publisher: Wiley-VCH

Introduces the reader to applications of computer programs that permit the manipulation of simulated physical systems, unlocking the potential for dramatic insi
Research in Education
Language: en
Pages:
Authors:
Categories: Education
Type: BOOK - Published: 1974 - Publisher:

Fostering Children's Mathematical Power
Language: en
Pages: 612
Authors: Arthur Baroody
Categories: Education
Type: BOOK - Published: 1998-09-01 - Publisher: Routledge

First published in 1998. Routledge is an imprint of Taylor & Francis, an informa company.
Computational Science - ICCS 2006
Language: en
Pages: 1122
Authors: Vassil N. Alexandrov
Categories: Computers
Type: BOOK - Published: 2006-05-12 - Publisher: Springer

This is Volume II of the four-volume set LNCS 3991-3994 constituting the refereed proceedings of the 6th International Conference on Computational Science, ICCS
Computer Simulation Applications
Language: en
Pages: 160
Authors: Marcia Lynn Whicker
Categories: Social Science
Type: BOOK - Published: 1991-03-01 - Publisher: SAGE Publications, Incorporated

This book offers the first thorough coverage of computer simulations, discussing their strengths and weaknesses as a research method. It outlines the steps invo
Robots in K-12 Education: A New Technology for Learning
Language: en
Pages: 402
Authors: Barker, Bradley S.
Categories: Education
Type: BOOK - Published: 2012-02-29 - Publisher: IGI Global

"This book explores the theory and practice of educational robotics in the K-12 formal and informal educational settings, providing empirical research supportin
Computational Science - ICCS ...
Language: en
Pages:
Authors:
Categories: Computational complexity
Type: BOOK - Published: 2001 - Publisher: