Case Studies and Applications

[Skip Breadcrumb Navigation]

The seven Case Studies below concern topics introduced at the beginning of each chapter. The Application Projects either extend topics in the text or introduce new applications that students have found interesting.

Please note that the "References to Applications" page on this website also has links to these Case Studies and Applications.

Case studies and Applications are available in the technology formats listed below. You can download the case studies and applications for that format by clicking on the appropriate link.

You will need either StuffIt Expander for the Mac or WinZip for the PC to unstuff any of the downloadable archives.

Format	Download for PC	Download for Mac
MATLAB ¹	matlab_cs.zip	matlab_cs.sit
Maple	maple_cs.zip	maple_cs.sit
Mathematica	mathematica_cs.zip	mathematica_cs.sit
HP48G ²	hp_cs.zip	hp_cs.sit

1 These downloadable archive files contain PDFs and MATLAB data files. To view the data files, you will need to open them using MATLAB.

2 Not all Case Studies and Applications are offered for the HP48G calculator.

Click on the Case Study or Application title below to open the document.

	Type	Title and Page Reference
Chapter 1	Case Study	Linear Models in Economics, p. 1
	Applications	Interpolating Polynomials, p. 26
		Splines, p. 26
		Network Flow Problems, p. 92
		Diet Problems, p. 93
		Loop Currents, 95
Chapter 2	Case Study	Computer Graphics in Automotive Design, p. 105
	Applications	Adjacency Matrices, p. 114
		Dominance Matrices, p. 114
		Other Matrix Products, p. 114
		Condition Numbers, p. 131
		The LU and QR Factorizations, p. 150
		Equilibrium Temperature Distributions, p. 150
		The Leontief Input-Output Model, p. 152
Chapter 3	Case Study	Determinants in Analytic Geometry, p. 185
Chapter 3	Application	The Jacobian and Change of Variables, p. 209
Chapter 4	Case Study	Space Flight and Control Systems, p. 215
	Applications	Hill Substitution Ciphers, p. 223
	Applications	Error-Detecting and Error-Correcting Codes, p. 265
Chapter 5	Case Study	Dynamical Systems and Spotted Owls, p. 301
	Applications	The Fibonacci Sequence and Generalizations, p. 325
	Applications	Integration by Parts, p. 330
Chapter 6	Case Study	Least-Squares Solutions, p. 373
	Applications	Findng the Roots of a Polynomial with Eigenvalues, p. 405
	Applications	The QR Method for Finding Eigenvalues, p. 405
Chapter 7	Case Study	The Singular Value Decomposition and Image Processing, p. 447
	Applications	Conic Sections and Quadratic Surfaces, p. 462
	Applications	Exrema for Functions of Several Variables, p. 461

[Return to the Top of this Page]