Browsing OU - Open Educational Resources (OER) by Title
Now showing items 27-46 of 110
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5.2 - 1D Optimization - Gold-Section Search
(7/11/18)In this lesson you'll learn about how to apply the golden section search technique to find Minimum and Maximum of a 1D Function in addition to how to develop a golden section search technique -
5.3 - 1D Optimization - Newton Raphson
(7/10/18)In this lesson you'll learn about how to apply Newton Raphson Root finding Technique to find Minimum and Maximum of a 1D Function and how to adjust a Newton Raphson root finding code to find the optima of a function -
5.4 - 2D Optimization - Gradient Descent
(7/17/18)In this lesson you'll learn about how to apply the gradient decent/ascent method to find optimum min and max of a 2D function and learn how to code a gradient descent code -
5.5 - Non Linear Optimization Using Solver
(7/14/18)In this lesson you'll learn about how to use Excel's inbuilt Solver tool to solve optimization problems -
6.1 - Linear Regression
(7/13/18)In this lesson you'll learn about how to best fit a line to a set of linear data points and how to develop a linear regression program. This is followed by a comparison of the results to Excel's inbuilt linear regression function -
6.2 - Polynomial Regression
(7/16/18)In this lesson you'll learn about how to find the best fit line to a set of curved data points and how to develop a polynomial regression program. This in followed by a comparison to the results from Excel's inbuilt linear ... -
6.3 - Linearization (Log & Hyperbolic)
(7/17/18)In this lesson you'll learn about how to best fit a line using regression analysis to fit a log trend and hyperbolic trend. -
6.4 - Cubic Spline
(7/31/18)In this lesson you'll learn about how to apply cubic spline to interpolate a value between two points and how to develop a cubic spline code in VBA programming language -
7.1 - Trapezoidal Rule
(7/19/18)In this lesson you'll learn about how to approximate an area under the curve using the Trapezoidal rule and how to develop a VBA code to implement this technique to any desired approximate error. -
7.2 - Simpson's 13 Rule
(7/20/18)In this lesson you'll learn about how to approximate an area under the curve using the Simpson's 1/3 Rule and how to develop a VBA code to implement this technique to any desired approximate error in addition to how the ... -
7.3 - Romberg Integration
(7/26/18)In this lesson you'll learn about how to approximate an area under the curve using Romberg Integration, how to develop a VBA code to implement this technique to any desired approximate error in addition to how Romberg ... -
7.4 - Conv. Forward Vs. Conv. Centered (1st & 2nd Derivative)
(7/23/18)In this lesson you'll learn about how to approximate derivatives using the conventional forward and centered finite difference approximations -
7.5 - High Accuracy Vs. Conv. Centered (1st & 2nd Derivatives)
(7/23/18)In this lesson you'll learn about how to approximate derivatives using the High Accuracy centered finite difference approximations and how it compares to the conventional finite approximations -
8.1 - Euler's Method
(7/27/18)In this lesson you'll learn about the concept behind applying Euler's Method to solve Ordinary Differential Equations and learn how to write a VBA code to apply Euler's Method -
8.2 - Euler's Method - Newton's Cooling Law
(7/27/18)In this lesson you'll learn an additional example on the application of Euler's Methods using Newton's Cooling Law -
8.3 - Improvements on Euler (Heun's, Midpoint & Ralston)
(7/28/18)In this lesson you'll learn about three techniques to improve Euler's Solution, and learn how to write a VBA program to apply all three techniques. -
8.4 - Runge Kutta Methods (2nd & 4th Order)
(7/28/18)In this lesson you'll learn about a class of equations called the Runge Kutta Methods and the Fourth Order Runge Kutta Method -
The Abacus: Introduction
(2016)The Abacus was an instrument useful for various mathematical computations. This learning leaflet provides step-by-step instructions for the basic operations of the abacus. -
AC Circuits
(2017-01-07)This eBook was written as the sequel to the eBook titled DC Circuits, which was written in 2016 by Chad Davis. This eBook covers Alternating Current (AC) circuit theory as well us a brief introduction of electronics. It ...