Numerical Methods Guy – Page 9 – Numerical Methods for the STEM Undergraduate

An FE Exam Math Problem in Differential Calculus

“The Fundamentals of Engineering (FE) exam is generally the first step in the process of becoming a professional licensed engineer (P.E.). It is designed for recent graduates and students who are close to finishing an undergraduate engineering degree from an EAC/ABET-accredited program” – FE Exam NCEES

For most engineering majors, mathematics is a required part of the examination. Here is a question from calculus.

inflection_point

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Holistic Numerical Methods Open Course Ware:
- Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com;
- Introduction to Matrix Algebra for the STEM undergraduate at http://ma.MathForCollege.com
the textbooks on
- Numerical Methods with Applications
- Introduction to Programming Concepts Using MATLAB
the Massive Open Online Course (MOOCs) available at

An FE Exam Math Problem in Analytical Geomtery

For most engineering majors, mathematics is a required part of the examination. Here is a question in analytical geometry.

perimeter of triangle fe exam This post is brought to you by

Holistic Numerical Methods Open Course Ware:
- Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com;
- Introduction to Matrix Algebra for the STEM undergraduate at http://ma.MathForCollege.com
the textbooks on
- Numerical Methods with Applications
- Introduction to Programming Concepts Using MATLAB
the Massive Open Online Course (MOOCs) available at

An FE Exam Math Problem in Complex Algebra

For most engineering majors, mathematics is a required part of the examination. Here is a question on complex algebra.

complex number fe exam

This post is brought to you by

Holistic Numerical Methods Open Course Ware:
- Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com;
- Introduction to Matrix Algebra for the STEM undergraduate at http://ma.MathForCollege.com
the textbooks on
- Numerical Methods with Applications
- Introduction to Programming Concepts Using MATLAB
the Massive Open Online Course (MOOCs) available at

How much computational time does it take to find the inverse of a square matrix using Gauss Jordan method? Part 1 of 2.

Problem Statement

How much computational time does it take to find the inverse of a square matrix using Gauss Jordan method? Part 1 of 2.

Solution

To understand the solution, you should be familiar with the Gauss Jordan method of finding the inverse of a square matrix. Peter Young of UCSC describes it briefly in this pdf file while if you like watching an example via a video, you can see PatrickJMT doing so. You also need to read a previous blog where we calculated the computational time needed for the forward elimination steps on a square matrix in the Naïve Gauss elimination method. We are now ready to estimate the computational time required for Gauss Jordan method of finding the inverse of a square matrix.

GJ Inverse Blog

This post is brought to you by

Holistic Numerical Methods Open Course Ware:
- Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com;
- Introduction to Matrix Algebra for the STEM undergraduate at http://ma.MathForCollege.com
the textbooks on
- Numerical Methods with Applications
- Introduction to Programming Concepts Using MATLAB
the Massive Open Online Course (MOOCs) available at

Euler’s Method Example for FE Exam

For most engineering majors, numerical methods is a required portion of the math part of the examination. Here is an example of using Euler’s method to numerically solve an ordinary differential equation.