Department of Mechanical Engineering
http://hdl.handle.net/1969.1/2499
Department of Mechanical Engineering2015-04-26T15:41:15ZLectures on Applied Mathematics Part 2: Numerical Analysis
http://hdl.handle.net/1969.1/153759
Lectures on Applied Mathematics Part 2: Numerical Analysis
This book is designed to be a continuation of the textbook, Lectures on Applied Mathematics Part I: Linear Algebra which can also be downloaded at http://rbowen.tamu.edu. This textbook evolved from my teaching an undergraduate Numerical Analysis course to Mechanical Engineering students at Texas A&M University. That course was one of the courses I was allowed to teach after my several years out of the classroom. It tries to utilize rigorous concepts in Linear Algebra in combination with the powerful computational tools of MATLAB to provide undergraduate students practical numerical analysis tools. It makes extensive use of MATLAB's graphics capabilities and, to a limited extent, its ability to animate the solutions of ordinary differential equations. It is not a textbook that tries to be comprehensive as a source of MATLAB information. It does contain a large number of links to MATLAB's extensive online resources. This information has been invaluable to me as this work was developed. The version of MATLAB used in the preparation of this textbook is MATLAB 2014b. This version implements a new graphics system. As a result, when earlier versions are utilized with this textbook, small changes in the script may be required to cause the script in the textbook to execute.
2015-03-24T00:00:00ZLectures on Applied Mathematics Part 1: Linear Algebra
http://hdl.handle.net/1969.1/94772
Lectures on Applied Mathematics Part 1: Linear Algebra
Chap. 1: Elementary Matrix Theory; Chap. 2: Vector Spaces;
Chap. 3: Linear Transformations;
Chap. 4: Vector Spaces with Inner Product; Chap. 5: Eigenvalue Problems; Chap. 6: Additional Topics Relating to Eigenvalue Problems
It is common for Departments of Mathematics to offer a junior-senior level course on Linear Algebra. This book represents one possible course. It evolved from my teaching a junior level course at Texas A&M University during the several years I taught after I served as President. I am deeply grateful to the A&M Department of Mathematics for allowing this Mechanical Engineer to teach their students.
This book is influenced by my earlier textbook with C.-C Wang, Introductions to Vectors and Tensors, Linear and Multilinear Algebra. This book is more elementary and is more applied than the earlier book. However, my impression is that this book presents linear algebra in a form that is somewhat more advanced than one finds in contemporary undergraduate linear algebra courses. In any case, my classroom experience with this book is that it was well received by most students. As usual with the development of a textbook, the students that endured its evolution are due a statement of gratitude for their help.
2014-01-22T00:00:00ZNotes 15. Identification of parameters in mechanical systems
http://hdl.handle.net/1969.1/93280
Notes 15. Identification of parameters in mechanical systems
2008-01-01T00:00:00ZNotes 14. Dynamic response of continuum systems
http://hdl.handle.net/1969.1/93279
Notes 14. Dynamic response of continuum systems
2008-01-01T00:00:00Z