Engineering Problem Solving with MATLAB

by Etter, Delores M.

• ISBN13: 9780133976885
• ISBN10: 0133976882
• Edition: 2nd
• Format: Paperback
• Copyright: 1996-08-29
• Publisher: Pearson

Summary

Best-selling author D.M. Etter introduces readers to general problem-solving and design techniques through a five step process which uses MATLAB, the popular engineering software, for analysis and graphical display. The book features chapters organized around specific engineering applications drawn from a variety of engineering disciplines. This book is the cornerstone engineering tutorial in the MATLAB Curriculum Series.

Table of Contents

Part I Fundamental Engineering Computing	1	(146)
1 Engineering Problem Solving Grand Challenge: Weather Prediction	2	(30)
1.1 Engineering in the 21st Century	4	(7)
Recent Engineering Achievements	4	(4)
Grand Challenges for the Future	8	(2)
Changing Engineering Environment	10	(1)
1.2 Computing Systems	11	(10)
Computer Hardware	11	(3)
Computer Software	14	(1)
Operating Systems	14	(1)
Software Tools	15	(1)
Computer Languages	16	(2)
Executing a Computer Program	18	(1)
Executing a MATLAB Program	19	(1)
Software Life Cycle	19	(1)
The Internet, Email, and the World Wide Web	20	(1)
1.3 An Engineering Problem-Solving Methodology	21	(4)
1.4 Data Collection for Weather Prediction	25	(3)
Chapter Summary, Key Terms, Problems, Suggested Readings	28	(4)
2 MATLAB Environment Grand Challenge: Vehicle Performance	32	(36)
2.1 Characteristics of the MATLAB Environment	34	(1)
Student Edition Version 4	34	(1)
MATLAB Windows	34	(1)
2.2 Scalars, Vectors, and Matrices	35	(14)
Initialization	37	(1)
Explicit Lists	37	(2)
Colon Operator	39	(2)
Special Values and Special Matrices	41	(2)
User Input	43	(1)
Output Options	43	(1)
Display Format	43	(1)
Printing Text and Values	44	(1)
Formatted Output	45	(1)
Simple xy Plots	46	(1)
Data Files	47	(2)
2.3 Scalar and Array Operations	49	(6)
Scalar Operations	49	(1)
Array Operations	50	(2)
Precedence of Arithmetic Operations	52	(2)
Computational Limitations	54	(1)
2.4 Additional Plotting Capabilities	55	(4)
Linear and Logarithmic Plots	55	(2)
Multiple Plots	57	(1)
Line and Mark Style	58	(1)
Axes Scaling	58	(1)
Subplots	59	(1)
2.5 Problem Solving Applied: Advanced Turborpop Engine	59	(4)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	63	(5)
3 MATLAB Functions Grand Challenge: Speech Recognition	68	(56)
3.1 Mathematical Functions	70	(21)
Common Math Functions	71	(1)
Trigonometric and Hyperbolic Functions	72	(3)
Complex Number Functions	75	(1)
Rectangular and Polar Coordinates	75	(2)
Euler's Formula	77	(1)
Polar Plots	78	(1)
Polynomial Functions	78	(2)
Polynomial Evaluation	80	(1)
Polynomial Operations	80	(3)
Roots of Polynomials	83	(3)
Functions of Two Variables	86	(1)
Function Evaluation	86	(2)
3-D Plots	88	(2)
Contour Plots	90	(1)
3.2 Data Analysis Functions	91	(5)
Simple Analysis	91	(1)
Maximum and Minimum	92	(1)
Sums and Products	92	(1)
Mean and Median	92	(1)
Sorting Values	93	(1)
Variance and Standard Deviation	94	(1)
Histograms	95	(1)
3.3 Selection Statements and Selection Functions	96	(7)
Simple if Statement	96	(1)
Relational and Logical Operators	97	(3)
Nested if Statements	100	(1)
else and elseif Clauses	100	(1)
Logical Functions	101	(2)
3.4 Problem Solving Applied: Speech Signal Analysis	103	(3)
3.5 User-Written Functions	106	(2)
3.6 Random Number Generating Functions	108	(4)
Uniform Random Numbers	108	(2)
Gaussian Random Numbers	110	(2)
3.7 Matrix Manipulation Functions	112	(4)
Rotation	112	(1)
Flipping	112	(1)
Reshaping	112	(1)
Extraction	113	(3)
3.8 Loops	116	(2)
for Loop	116	(1)
while Loop	117	(1)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	118	(6)
4 Linear Algebra and Matrices Grand Challenge: Mapping the Human Genome	124	(23)
4.1 Matrix Operations	126	(4)
Transpose	126	(1)
Dot Product	126	(1)
Matrix Multiplication	127	(2)
Matrix Powers	129	(1)
Matrix Polynomials	129	(1)
4.2 Problem Solving Applied: Protein Molecular Weights	130	(4)
4.3 Matrix Functions	134	(8)
Matrix Inverse and Rank	134	(1)
Determinants	135	(1)
Eigenvectors and Eigenvalues	136	(4)
Decompositions	140	(1)
Triangular Factorizations	140	(1)
QR Factorization	141	(1)
Singular Value Decomposition	142	(1)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	142	(5)
Part II Numerical Techniques	147	(76)
5 Solutions to Systems of Linear Equations Grand Challenge: Vehicle Performance	148	(16)
5.1 Graphical Interpretation	150	(1)
5.2 Solutions Using Matrix Operations	151	(6)
Matrix Division	155	(1)
Matrix Inverse	156	(1)
5.3 Problem Solving Applied: Electrical Circuit Analysis	157	(3)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	160	(4)
6 Interpolation and Curve Fitting Grand Challenge: Vehicle Performance	164	(20)
6.1 Interpolation	166	(4)
Linear Interpolation	166	(2)
Cubic-Spline Interpolation	168	(2)
6.2 Problem Solving Applied: Robot Arm Manipulators	170	(4)
6.3 Least-Squares Curve Fitting	174	(6)
Linear Regression	175	(2)
Polynomial Regression	177	(1)
polyfit Function	177	(3)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	180	(4)
7 Numerical Integration and Differentiation Grand Challenge: Enhanced Oil and Gas Recovery	184	(18)
7.1 Numerical Integration	186	(3)
Trapezoidal Rule and Simpson's Rule	186	(1)
Quadrature Functions	187	(2)
7.2 Problem Solving Applied: Pipeline Flow Analysis	189	(4)
7.3 Numerical Differentiation	193	(5)
Difference Expressions	194	(1)
diff Function	195	(3)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	198	(4)
8 Ordinary Differential Equations Grand Challenge: Vehicle Performance	202	(21)
8.1 First-Order Ordinary Differential Equations	204	(1)
8.2 Runge-Kutta Methods	205	(7)
First-Order Approximation (Euler's Method)	205	(2)
ode Fundations	207	(5)
8.3 Problem Solving Applied: Acceleration of UDF-Powered Aircraft	212	(3)
8.4 Higher-Order Differential Equations	215	(2)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	217	(6)
Part III Special Topics	223	(88)
9 Symbolic Mathematics Grand Challenge: Weather Prediction	224	(16)
9.1 Symbolic Algebra	226	(3)
Symbolic Expressions	226	(1)
Simplification of Mathematical Expressions	227	(1)
Operations on Symbolic Expressions	228	(1)
9.2 Equation Solving	229	(3)
Solutions to Equations	229	(2)
Solutions to Differential Equations	231	(1)
9.3 Differentiation and Integration	232	(2)
Differentiation	232	(1)
Integration	233	(1)
9.4 Problem Solving Applied: Weather Balloons	234	(3)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	237	(3)
10 Signal Processing Grand Challenge: Computerized Speech Understanding	240	(38)
10.1 Frequency Domain Analysis	242	(6)
10.2 Filter Analysis	248	(12)
Analog Transfer Functions	250	(2)
Digital Transfer Functions	252	(4)
Partial Fraction Expansions	256	(4)
10.3 Digital Filter Implementation	260	(3)
10.4 Digital Filter Design	263	(7)
IIR Filter Design Using Analog Prototypes	263	(4)
Direct IIR Filter Design	267	(1)
Direct FIR Filter Design	268	(2)
10.5 Problem Solving Applied: Channel Separation Filters	270	(2)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	272	(6)
11 Control Systems Grand Challenge: Vehicle Performance	278	(33)
11.1 System Modeling	280	(4)
Transfer Functions	281	(1)
State-Space Models	282	(1)
Discrete-Time Systems	283	(1)
11.2 Model Conversion	284	(8)
11.3 Design and Analysis Functions	292	(13)
Bode Plots	292	(5)
Nyquist Plots	297	(2)
Root-Locus Plots	299	(3)
Step Response	302	(3)
11.4 Problem Solving Applied: Laser Beam Steering Mirror Control	305	(2)
Chapter Summary, Key Terms, MATLAB Summary, Style Notes, Debugging Notes, Problems	307	(4)
Appendix A MATLAB Function Summary	311	(4)
Complete Solutions to Practice! Problems	315	(11)
Index	326