ENM510 - Foundations of Engineering Mathematics I (Homework #7)
Fall Semester, 2015
M. Carchidi
Problem #1 (25 points)
Consider the second-order, linear, homogeneous ordinary dierential equation,
y 00
ENM510 - Advanced Engineering Mathematics I (Homework #7)
Fall Semester, 2016
M. Carchidi
Problem #1 (20 points)
a.) (5 points) While solving a regular Sturm-Liouville Problem a student found
eigenval
ENM510 - Foundations of Engineering Mathematics I (Homework #2)
Fall Semester, 2016
M. Carchidi
Problem #1 (12 points)
We have seen in class that a general solution to the partial dierential equation
ENM510 - Foundations of Engineering Mathematics I (Homework #3)
Fall Semester, 2016
M. Carchidi
General Solutions to the Wave and Heat Equations
We have seen that
X
w(x, t) = A0 + B0 t +
(An cos(n t)
ENM510 - Advanced Engineering Mathematics I (Homework #9)
Fall Semester, 2015
M. Carchidi
Problem #1 (20 points)
a.) (5 points) While solving a regular Sturm-Liouville Problem a student found
eigenval
ENM510 - Foundations of Engineering Mathematics I (Homework #4)
Fall Semester, 2016
M. Carchidi
Problem #1 (20 points)
Consider the vector space of all n1 columns Rn under the usual operations
of colu
ENM510 - Foundations of Engineering Mathematics I (Homework #5)
Fall Semester, 2015
M. Carchidi
Problem #1 (25 points)
Consider the vector space of all n1 columns Rn under the usual operations
of colu
ENM510 - Foundations of Engineering Mathematics I
(Practice Problems for the Midterm)
Fall Semester, 2010
M. Carchidi
Problem #1
Consider all real values of for which there are nonzero solutions (x) t
ENM510 - Foundations of Engineering Mathematics I (Homework #4)
Fall Semester, 2017
M. Carchidi
Problem #1 (20 points) - Constructing a Transition Matrix
Consider the vector space of all n1 columns Rn
ENM510 - Foundations of Engineering Mathematics I (Homework #3)
Fall Semester, 2017
M. Carchidi
Problem #1 (15 points) - Eigenvalues and Eigenfunctions
Determine non-zero functions and values of c, gi
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
October 8, 2014
Chapter 3 - Inner Product Spaces
The following notes are written by Dr. Michael A. Carchidi at the Unive
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
October 31, 2014
Chapter 4 - Transformations, Operators and Eigenspaces
The following notes are written by Dr. Michael A
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
November 20, 2014
Chapter 10 - The Two-Dimensional Heat And Wave Equations
The following notes are written by Dr. Michae
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
November 20, 2014
Chapter 12 - The Method Of The Laplace Transform
The following notes are written by Dr. Michael A. Car
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
November 20, 2014
Chapter 11 - The Method Of Characteristics
The following notes are written by Dr. Michael A. Carchidi
ENM510 - Advanced Engineering Mathematics I (Homework #1)
Fall Semester, 2017
M. Carchidi
Problem #1 (40 points) - The True Hanging String Shape
Looking at the vertical components of the forces acting
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
August 25, 2014
Chapter 1 - The Boundary-Value, Initial-Value Problem
The following notes are written by Dr. Michael A.
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
August 25, 2014
Chapter 1 - The Boundary-Value, Initial-Value Problem
The following notes are written by Dr. Michael A.
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
September 12, 2014
Chapter 2 - Groups, Fields and Linear Vector Spaces
The following notes are written by Dr. Michael A.
ENM510 - Foundations of Engineering Mathematics I (Homework #6)
Fall Semester, 2015
M. Carchidi
Problem #1 (20 points)
a.) (10 points) Let f (x) be periodic with period T = 2a, and let
f (x) = a0 +
ENM510 - Foundations of Engineering Mathematics I (Homework #5)
Fall Semester, 2016
M. Carchidi
Problem #1 (25 points)
Consider the vector space of all n1 columns Rn under the usual operations
of colu
ENM510 - Foundations of Engineering Math I (Midterm Exam)
Fall Semester, 2016
M. Carchidi
Problem #1 (30 points)
Let V be the 4-dimensional subspace of the space of all continuous functions
of x, span
ENM510 - Foundations of Engineering Math I (Midterm Exam)
Fall Semester, 2016
M. Carchidi
Problem #1 (30 points)
Let V be the 4-dimensional subspace of the space of all continuous functions
of x, span
ENM510 - Advanced Engineering Mathematics I (Final Exam)
Fall Semester, 2016
M. Carchidi
Useful Information: Some Special Regular Sturm-Liouville Problems
The eigenfunctions and corresponding eigenval
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
December 1, 2016
Chapter 7 - Sturm-Liouville Theory
The following notes are written by Dr. Michael A. Carchidi at the Un
ENM510 - Advanced Engineering Mathematics I (Homework #1)
Fall Semester, 2017
M. Carchidi
Problem #1 (40 points) - The True Hanging String Shape
Looking at the vertical components of the forces acting
Class Notes For Advanced Engineering
Mathematics I
(ENM510)
Michael A. Carchidi
November 20, 2014
Chapter 9 - The Potential Equation
The following notes are written by Dr. Michael A. Carchidi at the U
Linear Optimization Theory & Analysis
(ESE 504)
Michael A. Carchidi
September 24, 2015
Chapter 2 - Matrices, Vectors, Vector Spaces and Inner Products
The following notes are based on the two textbook
Periodic Functions, Periodic Motion and
Fourier Series
Michael A. Carchidi
November 11, 2015
1. Introduction
This note will provide a discussion of periodic motion and the Fourier series
representatio