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Engineering often involves applying a consistent, structured approach to the solving of problems. A general problem-solving approach and method can be defined, although variations will be required for specific problems. Problems must be approached methodically, applying an algorithm, or step-by-step procedure by which one arrives at a solution. | Contents 1 Engineering Problem Solving 1 1.1 Problem-Solving Process. 1 1.2 Problem Solving Example. 4 1.3 Computing Software. 8 1.4 Computing Terminology. 12 2 Matlab Technical Computing Environment 14 2.1 Workspace Windows and Help. 14 2.2 Scalar Mathematics . 15 2.3 Basic Mathematical Functions. 24 2.4 Computational Limitations . 26 2.5 Display Options. 29 2.6 Accuracy and Precision . 33 3 Files and File Management 37 3.1 File Management Definitions and Commands. 37 3.2 Saving and Restoring Matlab Information. 39 3.3 Script M-Files. 43 3.4 Errors and Debugging. 47 3.5 Matlab Search Path Path Management and Startup. 49 i 4 Trigonometry and Complex Numbers 51 4.1 Trigonometry. 51 4.2 Complex Numbers. 57 4.3 Two-Dimensional Plotting. 72 5 Arrayr and Array Operationr 81 5.1 Vector Arrays. 81 5.2 Matrix Arrays. 81 5.3 Array Plotting Capabliities. 93 6 Mathematical Functionr and Applicationr 101 6.1 Signal Representation Processing and Plotting.101 6.2 Polynomial.111 6.3 Partial Fraction Expansion .120 6.4 Functions of Two Variables.125 6.5 User-Defined Functions .129 6.6 Plotting Functions.133 7 Data Analyrir 135 7.1 Maximum and Minimum.136 7.2 Sums and Products.140 7.3 Statistical Analysis.144 7.4 Random Number Generation.141 8 Selection Programming 155 1.1 Relational and Logical Operators.155 1.2 Flow Control.161 1.3 Loops.165 1.4 Selection Statements in User-Defined Functions.169 1.5 Update Processes.171 ii 8.6 Applied Problem Solving Speech Signal Analysis.175 9 Vectors Matrices and Linear Algebra 180 9.7 Vectors .787 9.2 Matrices.785 9.3 Solutions to Systems of Linear Equatioos .179 9.4 Applied Problem Solving Robot Motion.202 10 Curve Fitting and Interpolation 207 70.7 Minimum Mean-Square Error Curve Fitting.205 70.2 Applied Problem Solving Hydraulic Engineering.273 70.3 Interpolation.275 70.4 Applied Problem Solving Human Hearing.279 11 Integration and Differentiation 223 77.7 Numerical Integration.223 77.2 Numerical Differentiation .230 12 Strings Time Base .
