This course is part of Introductory Linear Algebra.
This course explores the core concepts of linear algebra through the lens of systems of equations. Students learn systematic methods for solving linear equations while investigating their practical applications. The curriculum covers essential topics like linear combinations of vectors, linear independence, and linear transformations. The course emphasizes both theoretical understanding and practical problem-solving skills, preparing students for advanced study in mathematics, science, and engineering.
4.2
(26 ratings)
29,352 already enrolled
Instructors:
English
English
What you'll learn
Solve complex systems of linear equations using systematic methods
Analyze linear systems for consistency and solution types
Apply elementary row operations effectively
Understand vector relationships and linear combinations
Master concepts of linear independence and dependence
Evaluate and construct linear transformations
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, Exams
Access on Mobile, Tablet, Desktop
Limited Access access
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Module Description
The course provides a comprehensive introduction to linear algebra fundamentals, focusing on systems of linear equations. Students learn systematic methods for solving linear systems, explore vector operations and linear combinations, and study linear transformations. The curriculum emphasizes both theoretical understanding and practical applications, incorporating computational methods and geometric interpretations.
Fee Structure
Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: Introductory Linear Algebra
Instructor

4 Courses
A Pioneer in Mathematics Education and Distance Learning Innovation
Greg Mayer serves as Director of Online Learning and Academic Professional in the School of Mathematics at Georgia Tech, where he has established himself as an expert in distance education and mathematics instruction. His work encompasses teaching undergraduate level courses, supporting curriculum development initiatives, and advancing the Distance Mathematics Program which serves over 700 students from 90 high schools annually. After completing his PhD in Mathematics from the University of Waterloo and M.Ed. in Distance Education from Athabasca University, he has focused on developing innovative approaches to mathematics education, particularly in online and hybrid learning environments. His contributions include significant curriculum development in applied combinatorics, creation of distance education courses for advanced high school students, and research on teaching and learning activities within the School of Mathematics. His expertise spans synchronous online education, teaching assistant pedagogical practices, and interactive learning environments, with notable work in developing EdX courses in linear algebra and calculus. Beyond his teaching responsibilities, he provides administrative support for faculty and programs while conducting research on the effectiveness of online mathematics education, particularly focusing on advanced high school students in undergraduate courses. His commitment to educational innovation and continuous improvement has made him a valuable contributor to mathematics education at both the high school and undergraduate levels.
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Frequently asked questions
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