#Polyroots mathcad series#

Hot Stream of Air 2396.10.3 The Effect of Operating Temperature on the Strength of a 2036.9 Use of Mathcad's Regression Functions for Curve-Fitting 207Ħ.9.1 Linear Regression with Mathcad 2076.9.2 Nonlinear Regression with Mathcad 2096.9.3 Use of the Function linfit 2116.9.4 Use of the Function genfit 2136.9.5 Use of the Mathcad Functions logfit, lnfit, pwrfit and expfit 2156.9.6 More Examples with Mathcad 220Ħ.10 Applications in Curve-Fitting 2366.10.1 Fatigue Failure Curve for Loading in the Finite Life Range 2366.10.2 Temperature Response of an Object Placed in a

1846.3 Straight Line Regression 1856.4 Curve-Fitting with a Quadratic Function 1886.5 Curve-Fit with a Power Function 1916.6 Curve-Fitting with an Exponential Function 1946.7 Curve-Fitting with a Linear Combination of Known Functions 1996.8 Curve-Fitting with Polynomials. Ii AN INTRODUCTION TO NUMERICAL METHODS USING MATHCADĦ.1 The Need to Fit a Function to Measured Data 1836.2 The Method of Least Squares. Systems Engineering 913.12.4 Horizontal Tension in a Uniform Cable 93Problems 96Ĥ.1 Basic Matrix Operations 1034.2 Use of Mathcad in Performing Matrix Operations 1054.3 Solution of Linear Algebraic Equations by Using the Inverse 1084.4 Solution of Linear Algebraic Equations by Cramers Rule 1104.5 Solution of Linear Algebraic Equations Using the Function lsolve 1124.6 The Eigenvalue Problem 1144.7 Solving the Eigenvalue Problem with Mathcad 1164.8 Application of the Eigenvalue Problem to Vibration Engineering 1174.9 Application of the Eigenvalue Problem to Stress Analysis-ĭetermination of Principal Stresses and Principal Directions 1254.10 Repeated Roots in the Determinantal Equation 1284.11 Solution of Nonlinear Simultaneous Equations 131ĥ.1 Linear Interpolation 1415.2 The Method of Undetermined Coefficients 1415.3 The Gregory-Newton Interpolating Polynomial 1445.4 Interpolation Using Finite Differences 1495.5 Newtons Method Utilizing Finite Differences 1515.6 The Lagrange Interpolating Polynomial 1555.7 Interpolation Using Linear, Quadratic and Cubic Splines 1585.8 Interpolation with Mathcad 1595.9 Applications in Numerical Interpolation 168ĥ.9.1 Stress-Strain data for Titanium 1685.9.2 Notch Sensitivity of Aluminum 1695.9.3 Speech Interference Level 1725.9.4 Load-Deflection Data for Elastomeric Mounts 175Problems 177 Given and Find Functions 863.12 Applications in Root-Finding 87ģ.12.1 Maximum Design Load for a Column 873.12.2 Natural frequencies of Vibration of a Uniform Beam 893.12.3 Solving the Characteristic Equation in Control Solution of Systems of Nonlinear Equations 843.11 Solving Systems of Equations using Mathcad's Method of Successive Substitution 783.9 Multiple Roots and Difficulties in Computation 803.10. The Regula Falsi or the False Position Method 583.5 Newton-Raphson Method 653.6 Use of Mathcads root and polyroots Functions 71ģ.7 Secant Method 723.8.

#Polyroots mathcad series#

31.5 Feedback 41.6 Graphics 51.7 Graphing of Functions and Plotting of Data 51.8 Animations 71.9 The Mathcad Tutorials 71.10 Advantages of Mathcad 71.11 Computations in Mathcad 101.12 The Mathcad Window, Toolbars and Palettes 131.13 Mathcad Regions 151.14 Entering Math and Text 161.15 Mathcad Worksheets,Templates and Styles 171.16 Defining Variables 181.17 Defining Functions in Mathcad 191.18 Building and Editing Mathematical Expressions 211.19 Defining Range Variables 231.20 Defining Vectors and Matrices 241.21 Creating Graphs 281.22 Formatting Math, Text and Results 351.23 Using Units 39Ģ.1 The Use of Numerical Methods in Science and Engineering 432.2 Comparison of Numerical Methods with Analytical Methods 432.3 Sources of Numerical Errors and their Computation 442.4 Taylor Series Expansion 44ģ.1 Introduction 533.2 Methods Available 533.3 Bisection Method 533.4.

Professor of Mechanical Engineering School of Engineering and Applied Scienceġ.1 Introduction 11.2 The Mathcad Screen 11.3 Exact Answers 31.4 Variables, Functions and Live math.