Mathematical Modeling with Maple

ISBN-10: 049510941X

ISBN-13: 9780495109419

Edition: 2012

Authors: William P. Fox

List price: $27.99
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Book details

List price: $27.99
Copyright year: 2012
Publisher: Cengage Learning
Binding: Hardcover
Pages: 592
Size: 8.50" wide x 10.25" long x 1.00" tall
Weight: 2.750

William P. Fox is a professor in the Department of Defense Analysis at the Naval Postgraduate School in Monterey, CA. Previously; he was an instructor, assistant professor, associate professor, and professor of operations research while serving in the Department of Mathematical Sciences at the United States Military Academy (USMA) for more than 12 years. He also served as the Chair of Mathematics at Francis Marion University for eight years before coming to the Naval Postgraduate School. Dr. Fox has taught a variety of mathematics courses in his career, and his areas of interest include mathematical modeling, optimization, statistics, and simulations. He holds his undergraduate degree from USMA, a master's degree from the Naval Postgraduate School, and a Ph.D. from Clemson University.

Introduction To Maple
The Structure of Maple
A General Introduction to Maple
Maple Quick Review
Maple Training
Introduction, Overview, And The Process Of Mathematical Modeling
The Modeling Process
Illustrative Examples
Discrete Dynamical Models
Modeling Discrete Change
Tower of Hanoi
Drug Dosage Problem
Time Value of Money
Simple Mortgage
The Spotted Owl
Equilibrium Values and Long-term Behavior
Nonlinear Discrete Dynamical Systems
Growth of a Yeast Culture
Spread of a Contagious Disease
Systems of Discrete Dynamical Systems
Competitive Hunter Model
Fast Food Tendencies
Modeling Predator-Prey, SIR, and Military
SIR of an Epidemic
Modeling Military Insurgencies
Model Fitting Criterion
Different Curve Fitting Criterion
Plotting the Residuals for a Least-Squares Fit
Bass Fish
Bounding on Chebyshev's
Modeling With Proportionality And Geometric Similarity
Kepler's Law
Bass Fishing Derby
Geometric Similarity
Heart Sizes
Crew Races
Terror Bird
Empirical Model Building
Simple One Term Models
Bass Fishing Derby
Terror Bird Revisited
Fitting an (n - 1)st order Polynomials to N Data Points
Polynomial Smoothing
Cost of a U.S
Postage Stamp
The Cubic Spline Model
Population Fruit Flies
Vehicle Stopping Distance
Cost of a U.S
Postage Stamp
Linear Programming
Formulating Linear Programming Problems
Product Mix of New Drinks
Financial Planning
Production Planning
Graphical simplex
CPU Memory Chips
Feasible Region
Minimization Problem
Unbounded Case
Graphical Sensitivity Analysis
The Simplex Method and Tableaus
Linear Programming with Maple
Data Envelopment Analysis
Ranking Banks
Ranking Banks as an LP
Sensitivity Analysis with Maple
Single Variable Optimization
Single Variable Optimization and Basic Theory
Applications of Max-Min Theory
Chemical Company
SP6 Computer Development
Applied Optimization Models
Inventory Problem
Oil Rig Location
Numerical Search Methods
Unrestricted Methods
Dichotomous Search
Golden Section Search
Fibonacci Search
Interpolation Methods
Modeling Using Unconstrained Optimization: Maximization And Minimization With Several Variables
Basic Theory
The Hessian Matrix
Unconstrained Optimization
Least Squares
Find the Island
Numerical Search Methods
Gradient Search
Modified Newton's Method
Equality And Inequality Constrained Multivariable Optimization
Equality Constraints: Method of LaGrange Multipliers
Basic Theory
Graphical Representations
Cobb Douglas
Oil Transfers
Inequality Constraints: Kuhn-Tucker (KTC Condition)
Spanning Cones
Two-variable Linear
Maximize Profit from Perfume
Minimum Variance of Investment Returns
Models With Linear Algebra
Introduction to Systems of Equations
Models with Unique Solutions Using Systems of Equations
A Bridge Too Far
Leontief Economic Models
Least Squares Revisited
Natural Cubic Splines Revisited
Models with Infinite Solutions using Systems of Equations
Basic Chemical Balancing
Redox Equations
Ordinary First Order Differential Equations Models
Applied First Order Models
Radioactive Decay
Newton's Law of Cooling
Population Models
Spread of a Disease
Slope Fields and Qualitative Assessment of Autonomous ODEs
Analytical Solutions to First ODEs
Separation of Variables
Linear Equations
Numerical Methods for Solutions to First Order Differential Equations
Euler's Method
Improved Euler's Method
Runga-Kutta 4 Method
Systems Of Linear First Order Differential Equations
Applied Systems of ODEs and Models
Economic Supply and Demand
Phase Portraits and Qualitative Assessment of Autonomous Systems
Fish Pond
Solving Homogeneous and Non-homogeneous Systems of ODEs with Constant Coefficients
Applied Systems with Maple
Diffusion through Two Membranes
Electrical Circuits
Numerical Methods to Systems of ODEs with Maple
Predator-Prey Model
Discrete Probability Models
Introduction to Classical Probability
Reliability Models in Engineering and Science
Overbooking Airlines Model
Markov Chains
Continuous Probability Models
Reliability Revisited
Modeling using the Normal Distribution
Confidence Interval and Hypothesis Testing
Regression: Linear, Transformed, and Nonlinear
Simulation Models
Monte Carlo Simulation
Deterministic Behavior
Area Problems
Volume Problems
Probabilistic Behavior
Applied Simulation Models
Missile Attacks
Gasoline Inventory
Modeling With Game Theory
Zero-sum Games
Hitter-Pitcher Duel
Non- Zero-sum Games
Nash Arbitration
Illustrative Example: Artist's Guild Strike
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