College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number 17472 Instructor: Larry Caretto
September 14 Homework Solutions
Page 375, problem 11 Find the spectr
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
November 30 Homework Solutions
Hoffman, page 494, problem 64 Solve
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
November 16 Homework Solutions
Kreyszig, page 955, problem 5 Solve
College of Engineering and Computer Science
Mechanical Engineering Department
Engineering Analysis Notes
Last updated: July 21, 2004 Larry Caretto
Numerical Solutions of Simultaneous Linear Equations
Introduction
The general approach to solving simultaneo
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
November 23 Homework Solutions
Kreyszig, page 961, problem 1 Use th
College of Engineering and Computer Science
Mechanical Engineering Department
Engineering Analysis Notes
Last updated: July 7, 2004 Larry Caretto
Introduction to Orthogonal Functions and Eigenfunction Expansions
Goal of these notes
Functionsetscanformvect
College of Engineering and Computer Science
Mechanical Engineering Department
Engineering Analysis Notes
Larry Caretto
November 3, 2004
Introduction to Numerical Calculus
Introduction
Before considering the numerical analysis of the differential equations
College of Engineering and Computer Science
Mechanical Engineering Department
Engineering Analysis Notes
Last updated: August 13, 2004 Larry Caretto
Computational Tools for Matrices and Solution of
Simultaneous Linear Equations
Introduction
Two common too
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Ticket: 17472 Instructor: Larry Caretto
Numerical Solution of Ordinary Differential Equations
Goal of these
College of Engineering and Computer Science
Mechanical Engineering Department
Engineering Analysis Notes
Last updated: August 12, 2004 Larry Caretto
Vectors and Matrices
Introduction
These notes provide an introduction to the use of vectors and matrices i
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
Solution to First Midterm Exam
1. (20 points) Determine if the foll
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
November 9 Homework Solutions
Keryszig, pages 951-952, problems 11-
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
October 26 Homework Solutions
Page 257, problem 15 Find the Laplace
Vector Spaces and Introduction to
Simultaneous Linear Equations
Larry Caretto
Mechanical Engineering 501A
Seminar in Engineering
Analysis
August 31, 2004
Outline
Review last lecture
General vector spaces
Inner products as generalization of dot
products
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number 17472 Instructor: Larry Caretto
Second Midterm Exam (November 4, 2003)
Open book and notes 75 minute
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number 17472 Instructor: Larry Caretto
August 31 Homework Solutions
Page 407, problem 11 A vector originati
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
September 28 Homework Solutions
Page 39, problem 15 Solve the follo
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
September 7 Homework Solutions
Page 364, problem 3 Are all ordered
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
October 5 Homework Solutions
In addition to the usual problem solut
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number 17472 Instructor: Larry Caretto
September 21 Homework Solutions
Page 357, problem 1 Find the inverse
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
October 12 Homework Solutions
Page 158, problem 11 Solve the equati
College of Engineering and Computer Science
Mechanical Engineering Department
Mechanical Engineering 501A
Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
November 2 Homework Solutions
Page 174, problem 9 Determine the typ
College of Engineering and Computer Science Mechanical Engineering Department
Mechanical Engineering 501A Seminar in Engineering Analysis
Fall 2004 Number: 17472 Instructor: Larry Caretto
October 19 Homework Solutions
Page 204, problem 5 Find the power se
College of Engineering and Computer Science
Mechanical Engineering Department
Notes on Engineering Analysis
Last revised: September 18, 2004
Larry Caretto
Ordinary Differential Equations
Objectives
These notes provide an introduction to the analytical sol