Professor Dave Explains
Numerical Methods for Solving Differential Equations
Solving differential equations can get pretty tricky, but in this modern age we have some tools that can be very useful. We can use computers to carry out sophisticated numerical methods that can solve any differential equation, no...
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MATLAB Programming Tutorials | Loops, Arrays, Classes, Control Statements & More : Basic Math
Welcome to our MATLAB Programming Tutorial series! These videos are designed to take you from beginner to advanced concepts in MATLAB, one of the most popular software platforms for engineering, data science, and mathematical computing....
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MATLAB Programming Tutorials | Loops, Arrays, Classes, Control Statements & More: ifelseif
Welcome to our MATLAB Programming Tutorial series! These videos are designed to take you from beginner to advanced concepts in MATLAB, one of the most popular software platforms for engineering, data science, and mathematical computing....
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Matlab Functions1: Functions with Input Parameters
Welcome to our MATLAB Programming Tutorial series! These videos are designed to take you from beginner to advanced concepts in MATLAB, one of the most popular software platforms for engineering, data science, and mathematical computing....
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MATLAB Programming Tutorials | Loops, Arrays, Classes, Control Statements & More
Welcome to our MATLAB Programming Tutorial series! These videos are designed to take you from beginner to advanced concepts in MATLAB, one of the most popular software platforms for engineering, data science, and mathematical computing....
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Matlab Functions: Multiple Input Parameters and Multiple Return Values
Welcome to our MATLAB Programming Tutorial series! These videos are designed to take you from beginner to advanced concepts in MATLAB, one of the most popular software platforms for engineering, data science, and mathematical computing....
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Matlab Functions: Anonymous / Single-Line Functions
Welcome to our MATLAB Programming Tutorial series! These videos are designed to take you from beginner to advanced concepts in MATLAB, one of the most popular software platforms for engineering, data science, and mathematical computing....
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Things I Wish I Knew When I Was Learning to Code
Things I Wish I Knew When I Was Learning to Code
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What's On My Laptop? | 13" M1 Macbook Pro for Machine Learning
What's On My Laptop? | 13" M1 Macbook Pro for Machine Learning
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Find Equation Roots with Excel
Two examples show how to (1) find the roots of a cubic equation and (2) find the roots of the Redlich Kwong equation of state that relates pressure and temperature to molar volume for read gasses.
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Solve Linear Equations with Python
Linear equations such as A*x=b are solved with NumPy in Python. This tutorial demonstrates how to create a matrix (A) and vector (b) as NumPy arrays and solve the set of equations with linalg.solve
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Nonlinear Regression in Python
A three parameter (a,b,c) model y = a + b/x + c ln(x) is fit to a set of data with the Python APMonitor package. This tutorial walks through the process of installing the solver, setting up the objective (normalized sum of squared...
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MathCAD Functions and Matrices
Mathcad is a tool to arrange, calculate, and visualize engineering calculations and functions can help with reusing expressions in subsequent evaluations. Use the following worksheets to step through example problems related to using...
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Curve Fit with Excel and Python
Nonlinear regression with heart rate data is shown in both Microsoft Excel and Python. GEKKO and SciPy curve_fit are used as two alternatives in Python. Heart rate data is available at...
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Fit Nonlinear Model to Data with Excel
Microsoft Excel adjusts parameters to minimize the difference between measured and predicted values. This tutorial demonstrates how to calculate the sum of squared errors and minimize error with the Solver add-in. See...
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Simulate Differential Equations with Python ODEINT
The heights of a dual gravity drained tank are solved with the Scipy.integrate function ODEINT. This example demonstrates how to solve the differential equation and plot the solution.
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Numpy and Loops in Python
This introductory homework assignment solution covers Numpy and loops (for and while) in Python. The example problems use simple vectors and matrices, reshaping, index referencing, initialization, dot product, cross product, matrix...
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Mathematical Optimization with Python
This tutorial demonstrates how to solve a simple mathematical optimization problem with four variables, one objective function, one equality constraint, and an inequality constraint. The problem is solved with the APMonitor toolbox in...
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Solve Nonlinear Equations with Excel
Microsoft Excel is used to solve a set of nonlinear equations with the Excel solver add-in.
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Solve Nonlinear Equations with Microsoft Excel
The GRG (Generalized Reduced Gradient) solver in Excel can be used to solve sets of nonlinear equations. The nonlinear functions are input as cells and equation residuals are minimized. Functions can either be included as equality...
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Analyze Stock Data with Microsoft Excel
Visualization of data is a powerful method to see trends and make decisions. Microsoft Excel trending capabilities are tools to visualize large data sets, such as financial information on company performance.
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Nonlinear Regression in MATLAB
A three parameter (a,b,c) model y = a + b/x + c ln(x) is fit to a set of data with the MATLAB APMonitor toolbox. This tutorial walks through the process of installing the solver, setting up the objective (normalized sum of squared...
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MATLAB Nonlinear Optimization with fmincon
This step-by-step tutorial demonstrates fmincon solver on a nonlinear optimization problem with one equality and one inequality constraint. Visit http://apmonitor.com/che263/index.php/Main/MatlabOptimization for source code.