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## PTC Mathcad Prime Worksheets Directory - Calculus, Statistics, and Data Analysis  1-Newbie

## PTC Mathcad Prime Worksheets Directory - Calculus, Statistics, and Data Analysis

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Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. All worksheets created in PTC Mathcad Prime 2.0.

Worksheet name Description Converting Nonlinear Systems to Linear Ones This worksheet using PTC Mathcad teaches you how to change nonlinear problems into linear problems. You are able to make this change when a problem is mostly linear, and the nonlinear part appears in the same style throughout the worksheet. Developing IDF Curves from Rainfall Data This worksheet using PTC Mathcad provides you with the data for twenty years of annual maximum rainfall depths for specified durations. Differential Algebraic Equations in PTC Mathcad This worksheet using PTC Mathcad shows you how to solve an ordinary differential equation whose solution has additional equality constraints beyond initial or boundary conditions. Ergodicity in a Harmonic Oscillator This worksheet models a classical particle described by a Hamiltonian and is an example of how one can conduct experiments involving mathematics and physics in practical, realistic scenarios. Example of Using Symbolic Math to Solve an ODE This worksheet illustrates PTC Mathcad's ability to symbolically solve an ordinary differential equation. In this example the worksheet shows you how to find the solution to a linear equation of first order in the canonical (standard) form using the integrating factor method. Financial Risk Management in PTC Mathcad This worksheet employs assumptions about the distribution of risk to simulate expected rates of default for the purposes of financial planning. Fitting Hyperbolic Data This worksheet using PTC Mathcad helps you to fit a hyperbolic function to collected data. This worksheet shows you how you can use the "minimize" solver function to fit a simple hyperbolic function to some data. Gauss- Newton Nonlinear Regression This worksheet uses the Gauss-Newton regression method, applied in PTC Mathcad Prime, in order to display curve-fitting non-linear models. Gaussian Probability Distribution in Mathcad This PTC Mathcad worksheet walks you through an example of two random variables with joint density. It then visualizes the density function via surface and contour plots, and calculates the probability of an event. Generating Polar Histograms in PTC Mathcad This worksheet teaches you how to plot a polar histogram using PTC Mathcad software. Inventory Control Example in PTC Mathcad This worksheet using PTC Mathcad shows you how to solve a classical inventory control problem commonly found in operational research. Logistic Map and Ideal Random Number Generator This worksheet using PTC Mathcad software describes the search for an ideal uniform random number generator, ultimately proving that the logistic random number generator simulates the behavior of the ideal uniform random number generator. Manufacturing Performance Curves in Mathcad This worksheet discusses how the output of a manufacturing process can be sampled to control the quality of the items shipped and how this sampling can be performed by plotting three performance curves. Monte Carlo Simulation of the Streeter Phelps Equation This worksheet using PTC Mathcad provides you with the basic Streeter Phelps equation which allows for the calculation of the dissolved oxygen deficit in a stream or river as a function of the distance downstream. Numeric and Symbolic Variables in PTC Mathcad - Undefining a variable This worksheet explains the elements of variables and their role in PTC Mathcad software. Specifically, this worksheet teaches you how to undefine a variable using two simple methods. Numeric vs. Symbolic Representations in PTC Mathcad This worksheet using PTC Mathcad Prime 2.0 shows you how to use an in-place evaluation of numeric definitions and a symbolic evaluation of results in functions. Performing a Weighted Fit in PTC Mathcad This worksheet using PTC Mathcad shows you how to fit a set of sample data by using the Least Squares Error (LSE) method to minimize the sum of squares error function normalized by a weighting function. Planar Regression in Mathcad This worksheet using software provides you with a sample data set that then shows you how to create a matrix containing the x and y coordinates of the data set using the augment function.  It also shows you how to perform a regression on the data using the "regress" functions. Plotting Frequency Distribution Data in PTC Mathcad This worksheet shows you how to use PTC Mathcad to calculate a frequency distribution for values in a vector that fall in a specified number of bins within the range of the data, and how to plot the resulting histogram. Preparing Time Series for Data Analysis This worksheet shows how you can import a data file consisting of time series data into PTC Mathcad. Random Triangles in the Unit Square This worksheet using PTC Mathcad supposed that three points are independently and uniformly chose in a unit square to determine a unique triangle. Random Walks in PTC Mathcad This worksheet using PTC Mathcad shows you how to simulate a random walk and visualize it through the use of graphs and charts. Response Surface Modeling in PTC Mathcad This worksheet using PTC Mathcad provides you with an example of a box-behnken experiment with three parameters at three levels. Solving Coupled ODEs in PTC Mathcad This worksheet sets up a set of coupled ordinary differential equations. A matrix of the functions for the x/y positions and velocities is defined.  It's then passed to the RKadapt function.  The x/y positions are plotted with a 3D plot of the sinusoidal humps. Solving Systems of Equations in Mathcad Using the Find Function This worksheet shows you how to use the Find Function in PTC Mathcad software. The Find Function can be used to solve linear and nonlinear systems. Tracking the Development of a Storm Using 30 Minute Interval Convolution This worksheet shows you how to use a 15 minute UH hydrograph to estimate the runoff from a rainfall hyetograph, also called convolution.
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