Mathematics

Explore a comprehensive series of screencasts covering essential mathematical concepts in engineering computing. Learn to solve linear and nonlinear equations, work with matrices, and perform advanced calculations using Excel and POLYMATH software. Dive into topics such as bubble temperature calculations, Gaussian elimination, matrix operations, nonlinear regression, kinetics parameter determination, and differential equation solving. Gain practical skills in applying mathematical techniques to engineering problems through step-by-step demonstrations and interactive simulations.

Bubble Temperature Non-Ideal Liquid/POLYMATH.
Dew Temperature Calculation/Excel Solver.
Solving Linear Equations with Gaussian Elimination/Excel.
Solving Set of Linear Equations.
Array Formulas in Excel.
Element-Wise Multiplication and Division of Matrices.
Matrices Introduction.
Matrix Addition and Subtraction.
Matrix Inverse.
Matrix Math/Excel-1.
Matrix Math/Excel-2.
Matrix Multiplication.
Matrix Transpose and Determinants.
Golden Section Search Method.
Nonlinear Regression to Determine Michaelis-Menten Kinetics Parameters Using Excel Solver.
Nonlinear Regression to Determine Confidence Limits for Michaelis-Menten Kinetics Parameters - Excel.
How to Determine Activation Energy Using Nonlinear Regression.
Determine Activation Energy Using Nonlinear Regression with Excel Solver.
Calculate 95% Confidence Intervals for Nonlinear Regression in Excel Part 1.
Calculate 95% Confidence Intervals for Nonlinear Regression in Excel Part 2.
Determine Kinetic Parameters for Data from Isothermal Plug Flow Reactor Part 1: Overview.
Determine Kinetic Parameters for Data from Isothermal Plug Flow Reactors Part 2: Excel Calculations.
Determine Kinetic Parameters for Data from Isothermal Plug Flow Reactors Part 3: Excel Spreadsheet.
Determine Kinetic Parameters for Data from Isothermal Plug Flow Reactors Part 4: Confidence Limits.
Solving Differential Equations in Excel Using the Runge-Kutta Method.
Solving Mass Balance Differential Equations for an Isothermal Plug Flow Reactor in Excel.
Nonlinear Regression for Kinetic Parameters for Isothermal PFR: Multiple Reactor Conditions Changed.
Vectors (Interactive Simulation).