ESE 501 - Mathematics Of Modern Engineering I

Washington University in Saint Louis

Lectures:

• Lecture 01 - R3 Simplified
• Lecture 02 - Vector Space I
• Lecture 03 - Vector Space II
• Lecture 04 - Matrix Simplified
• Lecture 05 - More about matrices
• Lecture 06 - Most about matrices
• Lecture 07 - Matrix Exponentials
• Lecture 08 - Functions of a square matrix
• Lecture 09 - Matlab Examples
• Lecture 10 - Solving Linear Differential Equations I
• Lecture 11 - Solving Linear Differential Equations II
• Lecture 12 - Linear Transformation I
• Lecture 13 - Linear Transformation II

Notes:

• Note 1 - Velocity and Acceleration Vectors I
• Note 2 - Velocity and Acceleration Vectors II
• Note 3 - Eigenvalues and Symmetric Matrices
• Note 4 - Eigenvectors
• Note 5 - Generalized Eigenvectors

Handouts:

• Handout 1 - Lines and Planes
• Handout 2 - Generalized Eigenvectors
• Handout 3 - Routh Hurwitz and Jury's Test
• Handout 4 - Linear Transformations I
• Handout 5 - Linear Transformations II

Homeworks:

• Homework 01
• Homework 02
• Homework 03
• Homework 04
• Homework 05
• Homework 06
• Homework 07
• Homework 08
• Homework 09
• Homework 10

Homework Hints:

• Hints for Homework 05
• Hints for Homework 06
• Hints for Homework 07

Homework Solutions:

• Solutions to Homework 01
• Solutions to Homework 02
• Solutions to Homework 03
• Solutions to Homework 04
• Solutions to Homework 05
• Solutions to Homework 06
• Solutions to Homework 07
• Solutions to Homework 08
• Solutions to Homework 09
• Solutions to Homework 10

Exams:

• Mid Term Exam 1 - Current
• Mid Term Exam 2 - Current
• Solutions to Mid Term Exam 2
• Solutions to Exam 2
• Syllabus for Exam 2
• Final Exam
• Final Exam 2006
• Review for the Final Exam
• Mid Term Exam 1
• Solutions for Mid Term Exam 1
• Mid Term Exam 2