MATLAB Differential and Integral Calculus

Author: Cesar Lopez
Publisher: Apress
ISBN: 1484203046
Format: PDF, ePub, Docs
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MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Differential and Integral Calculus introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving a short introduction to the MATLAB environment and MATLAB programming, this book provides all the material needed to work with ease in differential and integral calculus in one and several variables. Among other core topics of calculus, you will use MATLAB to investigate convergence, find limits of sequences and series and, for the purpose of exploring continuity, limits of functions. Various kinds of local approximations of functions are introduced, including Taylor and Laurent series. Symbolic and numerical techniques of differentiation and integration are covered with numerous examples, including applications to finding maxima and minima, areas, arc lengths, surface areas and volumes. You will also see how MATLAB can be used to solve problems in vector calculus and how to solve differential and difference equations.

Integral Calculus and Differential Equations Using MATLAB

Author: Scientific Books
Publisher: Createspace Independent Publishing Platform
ISBN: 9781523452927
Format: PDF, Kindle
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This book provides all the material needed to work on Integral Calculus and Differential Equations using MATLAB. It includes techniques for solving all kinds of integral and its applications for calculating lengths of curves, areas, volumes, surfaces of revolution... With MATLAB is possible solve ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler's method, the Runge-Kutta method, ...). It also describes how to implement mathematical tools such as the Laplace transform, orthogonal polynomials, and special functions (Airy and Bessel functions), and find solutions of differential equations in partial derivatives.

Technical Analysis and Applications with MATLAB

Author: William D. Stanley
Publisher: Cengage Learning
ISBN: 9781401864811
Format: PDF, ePub, Mobi
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This text combines various technical and engineering mathematical concepts at a basic level with the use of MATLAB for support and analysis. Once math concepts are introduced and understood using conventional techniques, MATLAB is then used as the primary tool for performing mathematical analysis. Featuring practical technical examples and problems, the text is designed for math courses within an engineering technology or engineering program or courses where MATAB is used as a supporting tool. The text provides a review of differential and integral calculus with an emphasis on applications to technical problems.

MATLAB Differential Equations

Author: Cesar Lopez
Publisher: Apress
ISBN: 1484203100
Format: PDF, Kindle
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MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Differential Equations introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving an introduction to the MATLAB environment and MATLAB programming, this book provides all the material needed to work on differential equations using MATLAB. It includes techniques for solving ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler’s method, Heun’s method, the Taylor series method, the Runge–Kutta method,…). It also describes how to implement mathematical tools such as the Laplace transform, orthogonal polynomials, and special functions (Airy and Bessel functions), and find solutions of finite difference equations.

MATLAB Symbolic Algebra and Calculus Tools

Author: Cesar Lopez
Publisher: Apress
ISBN: 1484203437
Format: PDF, ePub, Mobi
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MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Symbolic Algebra and Calculus Tools introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. Starting with a look at symbolic variables and functions, you will learn how to solve equations in MATLAB, both symbolically and numerically, and how to simplify the results. Extensive coverage of polynomial solutions, inequalities and systems of equations are covered in detail. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful symbolic manipulator which enables you to factorize, expand and simplify complex algebraic expressions over all common fields (including over finite fields and algebraic field extensions of the rational numbers). With MATLAB you can also work with ease in matrix algebra, making use of commands which allow you to find eigenvalues, eigenvectors, determinants, norms and various matrix decompositions, among many other features. Lastly, you will see how you can use MATLAB to explore mathematical analysis, finding limits of sequences and functions, sums of series, integrals, derivatives and solving differential equation.

Numerical Analysis Using MATLAB and Excel

Author: Steven T. Karris
Publisher: Orchard Publications
ISBN: 1934404039
Format: PDF, ePub, Docs
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This text is written primarily for students/readers who have a good background of high-school algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus.

Development of Innovative Drugs via Modeling with MATLAB

Author: Ronald Gieschke
Publisher: Springer Science & Business Media
ISBN: 3642397654
Format: PDF
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The development of innovative drugs is becoming more difficult while relying on empirical approaches. This inspired all major pharmaceutical companies to pursue alternative model-based paradigms. The key question is: How to find innovative compounds and, subsequently, appropriate dosage regimens? Written from the industry perspective and based on many years of experience, this book offers: - Concepts for creation of drug-disease models, introduced and supplemented with extensive MATLAB programs - Guidance for exploration and modification of these programs to enhance the understanding of key principles - Usage of differential equations to pharmacokinetic, pharmacodynamic and (patho-) physiologic problems thereby acknowledging their dynamic nature - A range of topics from single exponential decay to adaptive dosing, from single subject exploration to clinical trial simulation, and from empirical to mechanistic disease modeling. Students with an undergraduate mathematical background or equivalent education, interest in life sciences and skills in a high-level programming language such as MATLAB, are encouraged to engage in model-based pharmaceutical research and development.

MATLAB Calculus for Engineering and Sciences Examples and Exercises

Author: Cesar Perez Lopez
Publisher: CreateSpace
ISBN: 9781493729678
Format: PDF, ePub, Docs
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This book presents scientific calculation techniques through examples and exercises resolved with MATLAB software and its application to engineering and experimental sciences. In successive chapters topics relating to the differential and integral calculus, calculation of limits of sequences and functions, to work with numerical series and power series, to work with differential equations, finite difference equations and differential equations in partial derivatives. Applications of the derivative and the integral in one and several variables, both in the calculation of areas and volumes, are developed with special emphasis as in the field of optimization. Also treated especially applications of differential equations and numerical calculation methods that approximate the equations and systems of differential ecuacuiones of first order and higher order. The contents of the book special also refers to work with operators and functions of real and complex variable and especially the use of specialized functions and functions in m-ficheros defined to facilitate programming. Likewise, presents a wide graphic content that includes the representation of curves, surfaces, contours, graphics of meshes and volumes coordinates Cartesian, implicit, explicit, parametric and polar and their applications to problems of calculating lengths, areas and volumes.

MATLAB For Dummies

Author: Jim Sizemore
Publisher: John Wiley & Sons
ISBN: 1118820037
Format: PDF, ePub, Mobi
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Plot graphs, solve equations, and write code in a flash! If you work in a STEM field, chances are you'll be using MATLABon a daily basis. MATLAB is a popular and powerful computationaltool and this book provides everything you need to startmanipulating and plotting your data. MATLAB has rapidly become thepremier data tool, and MATLAB For Dummies is a comprehensiveguide to the fundamentals. MATLAB For Dummies guides youthrough this complex computational language from installation tovisualization to automation. Learn MATLAB's language fundamentals including syntax,operators, and data types Understand how to use the most important window in MATLAB– the Command Window Get the basics of linear algebra to get up and running withvectors, matrices, and hyperspace Automate your work with programming scripts and functions Plot graphs in 2D and 3D to visualize your data Includes a handy guide for MATLAB's functions and plottingroutines MATLAB is an essential part of the analysis arsenal andMATLAB For Dummies provides clear, thorough guidance to getthe most out of your data.

Mathematical Methods Using Matlab Programming Language

Author: Scientific Books
Publisher: Createspace Independent Publishing Platform
ISBN: 9781523266876
Format: PDF, ePub, Mobi
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This book introduces programming techniques through MATLAB and your aplicattions in Mathematical Methods. It begins by introducing the MATLAB environment and the structure of MATLAB programming before moving on to the mathematics necessary for scientific calculus tasks. These tasks are introduced sequentially in order of technical difficulty. A wide range of exercises are included, illustrating techniques such as programming, numerical calculus, linear and non-linear equations, derivatives, integrals, differential equations and symbolic computation. These topics are augmented with examples that put into practice the most widely used mathematical methods.