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Linear Algebra I: Linear Equations

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.

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Linear Algebra I: Linear Equations

This course includes

3 Weeks

Of Self-paced video lessons

Intermediate Level

Completion Certificate

awarded on course completion

20,615

Audit For Free

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

Linear Algebra
Systems of Linear Equations
Matrix Operations
Vector Spaces
Linear Transformations
Mathematical Proofs
Computational Mathematics
Linear Independence
Elementary Row Operations

This course includes:

PreRecorded video

Graded assignments, Exams

Access on Mobile, Tablet, Desktop

Limited Access access

Shareable certificate

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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

Greg Mayer
Greg Mayer

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.

Linear Algebra I: Linear Equations

This course includes

3 Weeks

Of Self-paced video lessons

Intermediate Level

Completion Certificate

awarded on course completion

20,615

Audit For Free

Testimonials

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Frequently asked questions

Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.