Now showing items 26-45 of 46

    • 5.1 - Introduction to Optimization & Analytical Sol. 

      Shams El-Din El-Fouly; Siddharth Misra (7/9/18)
      In this lesson you'll learn about optimization, minimums, maximums, and a saddle. You’ll learn the difference between a local and global optima, the Second Derivative Test, contour lines, and how to graph a 2D function in Excel.
    • 5.2 - 1D Optimization - Gold-Section Search 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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) 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; (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 

      Shams El-Din El-Fouly; Siddharth Misra (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) 

      Shams El-Din El-Fouly; Siddharth Misra (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) 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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 

      Shams El-Din El-Fouly; Siddharth Misra (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) 

      Shams El-Din El-Fouly; Siddharth Misra (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) 

      Shams El-Din El-Fouly; Siddharth Misra (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
    • Lab Manual for Nonmajors Biology 

      Hoefnagels, Mariëlle; Greenwood, Sarah (2019-02)
      Lab manual for use in college-level nonmajors biology courses. Lab manual includes lab safety guidelines and labs for process and tools of science; using the microscope; digestion; food microbiology; bacteria and disease; ...
    • Practice Problems in Biomedical Organic Chemistry: Self-Guided Problems and Answers for Students in Bioorganic and Organic Chemistry, Volume I 

      Carter, Adam; Culver, Tiffany; Cichewicz, Robert (2016-08)
      This problem set was developed to assist undergraduate students taking a one semester or two semester, non-majors course in organic chemistry. Students in these courses often come to organic chemistry from diverse backgrounds ...