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Numerical methods are important in engineering because they provide numerical solutions for problems that are difficult to solve analytically. Many of these methods have been implemented into MATLAB code, which can be used at work or school. This solution manual is designed to teach readers the basics of how to use MATLAB for numerical analysis and will guide them throughout the process of solving more complicated problems using this software. The manual also discusses error handling, software licensing, plotting results, and some issues with MATLAB that users should know about before diving into their project. Solutions are included in both MATLAB and text-based formats so that users can easily edit the files themselves without having to contact me regarding any errors or changes needed. The manual starts with an introduction to MATLAB and numerical methods. The reader is instructed on how to download and install MATLAB and what its basic controls are. Along with the basic commands for getting started, the solution manual also dispenses advice on how best to start solving problems. Readers must learn about the right way to approach problem solving, such as determining the solver they will use and their level of expertise before doing any trial runs or asking questions.After covering some basic functions in MATLAB, the user is introduced to different types of equations that can be formed by adding one or more variables (such as derivatives or other functions). These basic functions are used as a building block for different types of numerical methods that engineers use every day. A list of MATLAB functions that correspond to each numerical method is included. The second part of the manual is all about solving basic equations. It starts with simple case studies and progresses into more complicated problems as the reader progresses through the chapters. There are a total of six chapters in this section, which cover everything from solving simple linear equations to using Newton methods to solve nonlinear systems with many variables. Once the basics have been covered, readers can learn about solving specific types of problems, such as those involving differential equations or optimization problems. Readers are also shown how to use MATLAB to solve nonlinear equations. The users will learn about sparse matrix techniques, preconditioning techniques, and projection methods. The third part of the manual covers how to choose the appropriate solver for a given equation, and it discusses several different methods for solving a problem. Many details regarding a problem’s dimensionality and number of variables are also included here. Finally, readers are shown how to create plots using MATLAB. Terminal plots are plotted to show the user when they are in the desired range, when they need to make a change in their code, and when their data is completely correct. A list of MATLAB functions that correspond to each plotting function are included in this section. Understanding the basics of numerical methods, how to work with variables, solving equations, and plotting results is just the beginning for any engineer armed with this solution manual. cfa1e77820

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