Linear Algebra Overview
Elementary Linear Algebra: Applications
Version
Authors' Background
Howard Anton: Mathematician with a Ph.D. from the Polytechnic University of
Brooklyn.
Chris Rorres: Mathematician with a Ph.D. from the Courant Institute of New York
University.
Anton has contributed significantly to textbook writing and mathematical
associations.
Rorres has expertise in applied research and mathematical modeling.
Both authors have made substantial contributions to the field of mathematics.
Book Overview
The book is an expanded version of Elementary Linear Algebra, 11th edition by
Howard Anton.
The first nine chapters are identical to the original text, with the tenth chapter
focusing on applications.
Applications cover various fields like business, economics, engineering, and
genetics.
Instructors have flexibility in choosing and incorporating applications based on
prerequisites.
The aim is to present the fundamentals of linear algebra clearly for undergraduate
students.
About the Textbook
Provides an introductory treatment of linear algebra suitable for first undergraduate
courses.
Emphasizes sound pedagogy to ensure clear understanding.
, Includes applications from diverse fields to demonstrate real-world relevance.
Offers flexibility for instructors to customize course content based on student needs.
Aims to enhance students' understanding and application of linear algebra concepts.
Introduction to Linear Algebra
Fundamentals of Linear Algebra
Linear algebra presented in a clear and pedagogical manner for first undergraduate
courses.
Optional material marked for students with a calculus background.
Technology not required but supporting materials available for MATLAB,
Mathematica, Maple, or calculators.
Emphasis on sound pedagogy and clarity in presenting linear algebra concepts.
Summary of Changes in This Edition
Introduction of linear transformations in Section 1.8.
Addition of hundreds of new exercises throughout the text.
Reorganization of exercise sets for better balance and clarity.
Rewriting of sections for improved accuracy, including Internet Search Engines and
Appendix A.
Supplementary web materials with various applications modules and linear
programming content.
Movement of Section 10.2 to companion websites, focusing on Linear Programming.
Hallmark Features
Emphasis on relationships among concepts to show the cohesion of linear algebra.
Smooth transition to abstraction with explanations and analogies for better
understanding.
Mathematical precision tailored for beginners.
Designed to cater to a diverse audience including engineering, computer science,
and mathematics majors.
Inclusion of historical notes to provide context and perspective on mathematical
theorems.
Linear Algebra Pedagogy
, About the Exercises
Graded exercise sets progressing from routine to more challenging problems.
Categorization of exercises into proofs, true/false, and technology-based.
Focus on conceptual understanding and logical reasoning with True/False exercises.
Provision of supplementary exercises at the end of each chapter for additional
challenge.
Supplementary Materials for Students
Student Solutions Manual with detailed solutions to odd-numbered exercises.
Data files for technology exercises available on companion websites.
MATLAB Manual and Linear Algebra Labs for practical application of concepts.
Videos on How to Read and Do Proofs by Daniel Solow for additional support.
Supplementary Materials for Instructors
Instructor's Solutions Manual with worked-out solutions to most exercises.
PowerPoint Presentations for important visuals and definitions.
Test Bank with questions and sample exams.
WileyPLUS online environment for effective teaching and learning.
Course Structure
Long Template
Linear algebra courses typically consist of around 40 lectures.
The course is structured into chapters covering various topics in depth.
Applications and numerical methods in Chapter 9 are optional additions.
Customization of the course outline is encouraged to suit local interests and
requirements.
Short Template
Some linear algebra courses are condensed to approximately 30 lectures.
The shorter version covers the essential topics in a more concise manner.
Flexibility is provided to accommodate different teaching styles and time constraints.
Course Content
Elementary Linear Algebra: Applications
Version
Authors' Background
Howard Anton: Mathematician with a Ph.D. from the Polytechnic University of
Brooklyn.
Chris Rorres: Mathematician with a Ph.D. from the Courant Institute of New York
University.
Anton has contributed significantly to textbook writing and mathematical
associations.
Rorres has expertise in applied research and mathematical modeling.
Both authors have made substantial contributions to the field of mathematics.
Book Overview
The book is an expanded version of Elementary Linear Algebra, 11th edition by
Howard Anton.
The first nine chapters are identical to the original text, with the tenth chapter
focusing on applications.
Applications cover various fields like business, economics, engineering, and
genetics.
Instructors have flexibility in choosing and incorporating applications based on
prerequisites.
The aim is to present the fundamentals of linear algebra clearly for undergraduate
students.
About the Textbook
Provides an introductory treatment of linear algebra suitable for first undergraduate
courses.
Emphasizes sound pedagogy to ensure clear understanding.
, Includes applications from diverse fields to demonstrate real-world relevance.
Offers flexibility for instructors to customize course content based on student needs.
Aims to enhance students' understanding and application of linear algebra concepts.
Introduction to Linear Algebra
Fundamentals of Linear Algebra
Linear algebra presented in a clear and pedagogical manner for first undergraduate
courses.
Optional material marked for students with a calculus background.
Technology not required but supporting materials available for MATLAB,
Mathematica, Maple, or calculators.
Emphasis on sound pedagogy and clarity in presenting linear algebra concepts.
Summary of Changes in This Edition
Introduction of linear transformations in Section 1.8.
Addition of hundreds of new exercises throughout the text.
Reorganization of exercise sets for better balance and clarity.
Rewriting of sections for improved accuracy, including Internet Search Engines and
Appendix A.
Supplementary web materials with various applications modules and linear
programming content.
Movement of Section 10.2 to companion websites, focusing on Linear Programming.
Hallmark Features
Emphasis on relationships among concepts to show the cohesion of linear algebra.
Smooth transition to abstraction with explanations and analogies for better
understanding.
Mathematical precision tailored for beginners.
Designed to cater to a diverse audience including engineering, computer science,
and mathematics majors.
Inclusion of historical notes to provide context and perspective on mathematical
theorems.
Linear Algebra Pedagogy
, About the Exercises
Graded exercise sets progressing from routine to more challenging problems.
Categorization of exercises into proofs, true/false, and technology-based.
Focus on conceptual understanding and logical reasoning with True/False exercises.
Provision of supplementary exercises at the end of each chapter for additional
challenge.
Supplementary Materials for Students
Student Solutions Manual with detailed solutions to odd-numbered exercises.
Data files for technology exercises available on companion websites.
MATLAB Manual and Linear Algebra Labs for practical application of concepts.
Videos on How to Read and Do Proofs by Daniel Solow for additional support.
Supplementary Materials for Instructors
Instructor's Solutions Manual with worked-out solutions to most exercises.
PowerPoint Presentations for important visuals and definitions.
Test Bank with questions and sample exams.
WileyPLUS online environment for effective teaching and learning.
Course Structure
Long Template
Linear algebra courses typically consist of around 40 lectures.
The course is structured into chapters covering various topics in depth.
Applications and numerical methods in Chapter 9 are optional additions.
Customization of the course outline is encouraged to suit local interests and
requirements.
Short Template
Some linear algebra courses are condensed to approximately 30 lectures.
The shorter version covers the essential topics in a more concise manner.
Flexibility is provided to accommodate different teaching styles and time constraints.
Course Content