Ebook Applied numerical methods with MATLAB for engineers and scientists (3rd edition): Part 2

(BQ) Part 2 book "A guide to MATLAB for beginners and experienced users" has contents: Applications - Practice set C - Developing your MATLAB skills, MATLA bandthe internet, troubleshooting. | Chapter 9 Applications In this chapter, we present examples showing you how to apply MATLAB to problems in several different disciplines. Each example is presented as a MATLAB M-book. These M-books are illustrations of the kinds of polished, integrated, interactive documents that you can create with MATLAB, as augmented by the Word interface. The M-books are: r r r r r r r r r Illuminating a Room Mortgage Payments Monte Carlo Simulation Population Dynamics Linear Economic Models Linear Programming The 360◦ Pendulum Numerical Solution of the Heat Equation A Model of Traffic Flow We have not explained all the MATLAB commands that we use; you can learn about the new commands from the online help. SIMULINK is used in A Model of Traffic Flow and as an optional accessory in Population Dynamics and Numerical Solution of the Heat Equation. Running the M-book on Linear Programming also requires an M-file found (in slightly different forms) in the SIMULINK and Optimization toolboxes. The M-books require different levels of mathematical background and expertise in other subjects. Illuminating a Room, Mortgage Payments, and Population Dynamics use only high school mathematics. Monte Carlo Simulation uses some probability and statistics; Linear Economic Models and Linear Programming, some linear algebra; The 360◦ Pendulum, some ordinary differential equations; Numerical Solution of the Heat Equation, some partial 136 Illuminating a Room 137 differential equations; and A Model of Traffic Flow, differential equations, linear algebra, and familiarity with the function e z for z a complex number. Even if you don’t have the background for a particular example, you should be able to learn something about MATLAB from the M-book. Illuminating a Room Suppose we need to decide where to put light fixtures on the ceiling of a room, measuring 10 meters by 4 meters by 3 meters high, in order to best illuminate it. For aesthetic reasons, we are asked to use a small number .

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