This textbook attempts to provide you with an overview of the commonly used basic mathematical models, as well as a wide range of applications. It offers a perspective that brings you back to the modeling process and the assumptions that go into it.
Conditions of Use
This book is licensed under a Creative Commons License (CC BY-NC-SA). You can download the ebook Mathematical Modeling and Simulation with MATLAB for free.
- Title
- Mathematical Modeling and Simulation with MATLAB
- Publisher
- University of Alaska
- Author(s)
- Megan Buzby, Sheldon Lee
- Published
- 2021
- Edition
- 1
- Format
- eBook (pdf, epub, mobi)
- Pages
- 213
- Language
- English
- License
- CC BY-NC-SA
- Book Homepage
- Free eBook, Errata, Code, Solutions, etc.
Preface Introduction What is Modeling? Types of Mathematical Models Modeling with Equations Modeling with Recurrence Relations Modeling with Differential Equations Stochastic Models Exercises Programming in MATLAB Why is Programming Important? MATLAB Basics MATLAB Functions and Terminology Plotting Points and Curves Using ezplot() Using plot() The Symbolic Toolkit For Loops While Loops Conditional Statements Exercises Iterative Methods Fixed Point Iteration MATLAB function files The Bisection Method Newton's Method Exercises Matrices Matrix Review Eigenvectors and Eigenvalues Summary of MATLAB commands Exercises Discrete Models Introduction Linear Dynamical Systems State, Age, and Stage Matrix Models Markov Chains Higher Order and Nonlinear Discrete Dynamical Systems Exercises Continuous Models Modeling with Differential Equations Euler's Method Improved Euler's Method Qualitative Analysis of Differential Equations Systems of Differential Equations Qualitative Analysis of Systems of Differential Equations Linear systems Nonlinear Systems of Equations Exercises Stochastic Modeling Discrete Random Variables Continuous Random Variables Properties of Random Variables Monte Carlo Integration The Binomial Distribution The Normal Distribution Waiting Times The Poisson Distribution The Exponential Distribution Sampling from the Exponential and Poisson Distributions Stochastic Processes Poisson Processes Birth Death Processes Exercises In-class Activities and Exercises Solutions to in-class Exercises Selected Solutions MATLAB Commands Debugging Completed Proofs Index
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